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77 relations: Acceleration, Action (physics), Adriaan Fokker, Albert Einstein, Alternatives to general relativity, Cartesian coordinate system, Cauchy problem, Classical field theory, Congruence (general relativity), Conservative vector field, Curvature form, D'Alembert operator, Electromagnetism, Electrovacuum solution, Field equation, Fokker–Planck equation, Four-acceleration, Four-velocity, Frame fields in general relativity, General relativity, Geodesic, Gradient, Gravitational plane wave, Gravitational potential, Gravity, Greifswald, Gunnar Nordström, Gustav Mie, Helsinki, Hendrik Lorentz, Hermann Minkowski, Hermann Weyl, Killing vector field, Lagrangian (field theory), Laplace operator, Laplace's equation, Liénard–Wiechert potential, Lie algebra, Lie group, Marcel Grossmann, Max Abraham, Maxwell's equations in curved spacetime, Mercury (planet), Metric tensor, Microsecond, Milan, Minkowski space, Perfect fluid, Perihelion and aphelion, Plane wave, ..., Poisson's equation, Pound–Rebka experiment, Prague, Proper time, Pseudo-Riemannian manifold, Radar, Ricci curvature, Ricci decomposition, Riemann curvature tensor, Riemannian manifold, Scalar curvature, Schwarzschild metric, Simple harmonic motion, Spacetime, Special relativity, Speed of light, Stress–energy tensor, Test particle, Theoretical physics, Theory of relativity, Trace (linear algebra), Venus, Vienna, Wave equation, Wave vector, Weyl tensor, World line. Expand index (27 more) »
Acceleration
In physics, acceleration is the rate of change of velocity of an object with respect to time.
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Action (physics)
In physics, action is an attribute of the dynamics of a physical system from which the equations of motion of the system can be derived.
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Adriaan Fokker
Adriaan Daniël Fokker (17 August 1887 – 24 September 1972) was a Dutch physicist and musician.
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Albert Einstein
Albert Einstein (14 March 1879 – 18 April 1955) was a German-born theoretical physicist who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).
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Alternatives to general relativity
Alternatives to general relativity are physical theories that attempt to describe the phenomenon of gravitation in competition to Einstein's theory of general relativity.
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Cartesian coordinate system
A Cartesian coordinate system is a coordinate system that specifies each point uniquely in a plane by a pair of numerical coordinates, which are the signed distances to the point from two fixed perpendicular directed lines, measured in the same unit of length.
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Cauchy problem
A Cauchy problem in mathematics asks for the solution of a partial differential equation that satisfies certain conditions that are given on a hypersurface in the domain.
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Classical field theory
A classical field theory is a physical theory that predicts how one or more physical fields interact with matter through field equations.
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Congruence (general relativity)
In general relativity, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four-dimensional Lorentzian manifold which is interpreted physically as a model of spacetime.
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Conservative vector field
In vector calculus, a conservative vector field is a vector field that is the gradient of some function, known in this context as a scalar potential.
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Curvature form
In differential geometry, the curvature form describes the curvature of a connection on a principal bundle.
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D'Alembert operator
In special relativity, electromagnetism and wave theory, the d'Alembert operator (represented by a box: \Box), also called the d'Alembertian, wave operator, or box operator is the Laplace operator of Minkowski space.
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Electromagnetism
Electromagnetism is a branch of physics involving the study of the electromagnetic force, a type of physical interaction that occurs between electrically charged particles.
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Electrovacuum solution
In general relativity, an electrovacuum solution (electrovacuum) is an exact solution of the Einstein field equation in which the only nongravitational mass-energy present is the field energy of an electromagnetic field, which must satisfy the (curved-spacetime) source-free Maxwell equations appropriate to the given geometry.
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Field equation
In theoretical physics and applied mathematics, a field equation is a partial differential equation which determines the dynamics of a physical field, specifically the time evolution and spatial distribution of the field.
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Fokker–Planck equation
In statistical mechanics, the Fokker–Planck equation is a partial differential equation that describes the time evolution of the probability density function of the velocity of a particle under the influence of drag forces and random forces, as in Brownian motion.
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Four-acceleration
In the theory of relativity, four-acceleration is a four-vector (vector in four-dimensional spacetime) that is analogous to classical acceleration (a three-dimensional vector, see three-acceleration in special relativity).
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Four-velocity
In physics, in particular in special relativity and general relativity, a four-velocity is a four-vector in four-dimensional spacetimeTechnically, the four-vector should be thought of as residing in the tangent space of a point in spacetime, spacetime itself being modeled as a smooth manifold.
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Frame fields in general relativity
In general relativity, a frame field (also called a tetrad or vierbein) is a set of four orthonormal vector fields, one timelike and three spacelike, defined on a Lorentzian manifold that is physically interpreted as a model of spacetime.
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General relativity
General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.
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Geodesic
In differential geometry, a geodesic is a generalization of the notion of a "straight line" to "curved spaces".
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Gradient
In mathematics, the gradient is a multi-variable generalization of the derivative.
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Gravitational plane wave
In general relativity, a gravitational plane wave is a special class of a vacuum pp-wave spacetime, and may be defined in terms of Brinkmann coordinates by ds^2.
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Gravitational potential
In classical mechanics, the gravitational potential at a location is equal to the work (energy transferred) per unit mass that would be needed to move the object from a fixed reference location to the location of the object.
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Gravity
Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.
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Greifswald
Greifswald, officially the University and Hanseatic City of Greifswald (German: Universitäts- und Hansestadt Greifswald), is a city in northeastern Germany.
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Gunnar Nordström
Gunnar Nordström (12 March 1881 – 24 December 1923) was a Finnish theoretical physicist best remembered for his theory of gravitation, which was an early competitor of general relativity.
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Gustav Mie
Gustav Adolf Feodor Wilhelm Ludwig Mie (29 September 1868 – 13 February 1957) was a German physicist.
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Helsinki
Helsinki (or;; Helsingfors) is the capital city and most populous municipality of Finland.
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Hendrik Lorentz
Hendrik Antoon Lorentz (18 July 1853 – 4 February 1928) was a Dutch physicist who shared the 1902 Nobel Prize in Physics with Pieter Zeeman for the discovery and theoretical explanation of the Zeeman effect.
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Hermann Minkowski
Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.
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Hermann Weyl
Hermann Klaus Hugo Weyl, (9 November 1885 – 8 December 1955) was a German mathematician, theoretical physicist and philosopher.
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Killing vector field
In mathematics, a Killing vector field (often just Killing field), named after Wilhelm Killing, is a vector field on a Riemannian manifold (or pseudo-Riemannian manifold) that preserves the metric.
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Lagrangian (field theory)
Lagrangian field theory is a formalism in classical field theory.
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Laplace operator
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a function on Euclidean space.
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Laplace's equation
In mathematics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties.
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Liénard–Wiechert potential
Liénard–Wiechert potentials describe the classical electromagnetic effect of a moving electric point charge in terms of a vector potential and a scalar potential in the Lorenz gauge.
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Lie algebra
In mathematics, a Lie algebra (pronounced "Lee") is a vector space \mathfrak g together with a non-associative, alternating bilinear map \mathfrak g \times \mathfrak g \rightarrow \mathfrak g; (x, y) \mapsto, called the Lie bracket, satisfying the Jacobi identity.
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Lie group
In mathematics, a Lie group (pronounced "Lee") is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
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Marcel Grossmann
Marcel Grossmann (Grossmann Marcell, April 9, 1878 – September 7, 1936) was a mathematician and a friend and classmate of Albert Einstein.
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Max Abraham
Max Abraham (26 March 1875 – 16 November 1922) was a German physicist.
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Maxwell's equations in curved spacetime
In physics, Maxwell's equations in curved spacetime govern the dynamics of the electromagnetic field in curved spacetime (where the metric may not be the Minkowski metric) or where one uses an arbitrary (not necessarily Cartesian) coordinate system.
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Mercury (planet)
Mercury is the smallest and innermost planet in the Solar System.
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Metric tensor
In the mathematical field of differential geometry, a metric tensor is a type of function which takes as input a pair of tangent vectors and at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space.
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Microsecond
A microsecond is an SI unit of time equal to one millionth (0.000001 or 10−6 or 1/1,000,000) of a second.
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Milan
Milan (Milano; Milan) is a city in northern Italy, capital of Lombardy, and the second-most populous city in Italy after Rome, with the city proper having a population of 1,380,873 while its province-level municipality has a population of 3,235,000.
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Minkowski space
In mathematical physics, Minkowski space (or Minkowski spacetime) is a combining of three-dimensional Euclidean space and time into a four-dimensional manifold where the spacetime interval between any two events is independent of the inertial frame of reference in which they are recorded.
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Perfect fluid
In physics, a perfect fluid is a fluid that can be completely characterized by its rest frame mass density \rho_m; and isotropic pressure p. Real fluids are "sticky" and contain (and conduct) heat.
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Perihelion and aphelion
The perihelion of any orbit of a celestial body about the Sun is the point where the body comes nearest to the Sun.
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Plane wave
In the physics of wave propagation, a plane wave (also spelled planewave) is a wave whose wavefronts (surfaces of constant phase) are infinite parallel planes.
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Poisson's equation
In mathematics, Poisson's equation is a partial differential equation of elliptic type with broad utility in mechanical engineering and theoretical physics.
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Pound–Rebka experiment
The Pound–Rebka experiment is a well known experiment to test Albert Einstein's theory of general relativity.
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Prague
Prague (Praha, Prag) is the capital and largest city in the Czech Republic, the 14th largest city in the European Union and also the historical capital of Bohemia.
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Proper time
In relativity, proper time along a timelike world line is defined as the time as measured by a clock following that line.
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Pseudo-Riemannian manifold
In differential geometry, a pseudo-Riemannian manifold (also called a semi-Riemannian manifold) is a generalization of a Riemannian manifold in which the metric tensor need not be positive-definite, but need only be a non-degenerate bilinear form, which is a weaker condition.
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Radar
Radar is an object-detection system that uses radio waves to determine the range, angle, or velocity of objects.
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Ricci curvature
In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, represents the amount by which the volume of a small wedge of a geodesic ball in a curved Riemannian manifold deviates from that of the standard ball in Euclidean space.
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Ricci decomposition
In semi-Riemannian geometry, the Ricci decomposition is a way of breaking up the Riemann curvature tensor of a pseudo-Riemannian manifold into pieces with useful individual algebraic properties.
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Riemann curvature tensor
In the mathematical field of differential geometry, the Riemann curvature tensor or Riemann–Christoffel tensor (after Bernhard Riemann and Elwin Bruno Christoffel) is the most common method used to express the curvature of Riemannian manifolds.
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Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
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Scalar curvature
In Riemannian geometry, the scalar curvature (or the Ricci scalar) is the simplest curvature invariant of a Riemannian manifold.
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Schwarzschild metric
In Einstein's theory of general relativity, the Schwarzschild metric (also known as the Schwarzschild vacuum or Schwarzschild solution) is the solution to the Einstein field equations that describes the gravitational field outside a spherical mass, on the assumption that the electric charge of the mass, angular momentum of the mass, and universal cosmological constant are all zero.
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Simple harmonic motion
In mechanics and physics, simple harmonic motion is a special type of periodic motion or oscillation motion where the restoring force is directly proportional to the displacement and acts in the direction opposite to that of displacement.
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Spacetime
In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.
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Special relativity
In physics, special relativity (SR, also known as the special theory of relativity or STR) is the generally accepted and experimentally well-confirmed physical theory regarding the relationship between space and time.
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Speed of light
The speed of light in vacuum, commonly denoted, is a universal physical constant important in many areas of physics.
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Stress–energy tensor
The stress–energy tensor (sometimes stress–energy–momentum tensor or energy–momentum tensor) is a tensor quantity in physics that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics.
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Test particle
In physical theories, a test particle is an idealized model of an object whose physical properties (usually mass, charge, or size) are assumed to be negligible except for the property being studied, which is considered to be insufficient to alter the behavior of the rest of the system.
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Theoretical physics
Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain and predict natural phenomena.
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Theory of relativity
The theory of relativity usually encompasses two interrelated theories by Albert Einstein: special relativity and general relativity.
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Trace (linear algebra)
In linear algebra, the trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii denotes the entry on the ith row and ith column of A. The trace of a matrix is the sum of the (complex) eigenvalues, and it is invariant with respect to a change of basis.
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Venus
Venus is the second planet from the Sun, orbiting it every 224.7 Earth days.
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Vienna
Vienna (Wien) is the federal capital and largest city of Austria and one of the nine states of Austria.
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Wave equation
The wave equation is an important second-order linear partial differential equation for the description of waves—as they occur in classical physics—such as mechanical waves (e.g. water waves, sound waves and seismic waves) or light waves.
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Wave vector
In physics, a wave vector (also spelled wavevector) is a vector which helps describe a wave.
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Weyl tensor
In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo-Riemannian manifold.
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World line
The world line (or worldline) of an object is the path that object traces in -dimensional spacetime.
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References
[1] https://en.wikipedia.org/wiki/Nordström's_theory_of_gravitation
