Logo
Unionpedia
Communication
Get it on Google Play
New! Download Unionpedia on your Androidâ„¢ device!
Free
Faster access than browser!
 

Scalar field solution

Index Scalar field solution

In general relativity, a scalar field solution is an exact solution of the Einstein field equation in which the gravitational field is due entirely to the field energy and momentum of a scalar field. [1]

23 relations: Cambridge University Press, Characteristic polynomial, Effective field theory, Einstein field equations, Einstein tensor, Exact solutions in general relativity, Frame fields in general relativity, General relativity, Gravitational field, Gröbner basis, Lagrangian (field theory), Lorentz group, Metric tensor, Newton's identities, Pion, Pseudo-Riemannian manifold, Quintessence (physics), Riemann curvature tensor, Scalar field, Spacetime, Stress–energy tensor, Vector field, Wave equation.

Cambridge University Press

Cambridge University Press (CUP) is the publishing business of the University of Cambridge.

New!!: Scalar field solution and Cambridge University Press · See more »

Characteristic polynomial

In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.

New!!: Scalar field solution and Characteristic polynomial · See more »

Effective field theory

In physics, an effective field theory is a type of approximation, or effective theory, for an underlying physical theory, such as a quantum field theory or a statistical mechanics model.

New!!: Scalar field solution and Effective field theory · See more »

Einstein field equations

The Einstein field equations (EFE; also known as Einstein's equations) comprise the set of 10 equations in Albert Einstein's general theory of relativity that describe the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy.

New!!: Scalar field solution and Einstein field equations · See more »

Einstein tensor

In differential geometry, the Einstein tensor (named after Albert Einstein; also known as the trace-reversed Ricci tensor) is used to express the curvature of a pseudo-Riemannian manifold.

New!!: Scalar field solution and Einstein tensor · See more »

Exact solutions in general relativity

In general relativity, an exact solution is a Lorentzian manifold equipped with tensor fields modeling states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field.

New!!: Scalar field solution and Exact solutions in general relativity · See more »

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.

New!!: Scalar field solution and Frame fields in general relativity · See more »

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.

New!!: Scalar field solution and General relativity · See more »

Gravitational field

In physics, a gravitational field is a model used to explain the influence that a massive body extends into the space around itself, producing a force on another massive body.

New!!: Scalar field solution and Gravitational field · See more »

Gröbner basis

In mathematics, and more specifically in computer algebra, computational algebraic geometry, and computational commutative algebra, a Gröbner basis is a particular kind of generating set of an ideal in a polynomial ring over a field.

New!!: Scalar field solution and Gröbner basis · See more »

Lagrangian (field theory)

Lagrangian field theory is a formalism in classical field theory.

New!!: Scalar field solution and Lagrangian (field theory) · See more »

Lorentz group

In physics and mathematics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical and quantum setting for all (nongravitational) physical phenomena.

New!!: Scalar field solution and Lorentz group · See more »

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.

New!!: Scalar field solution and Metric tensor · See more »

Newton's identities

In mathematics, Newton's identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials.

New!!: Scalar field solution and Newton's identities · See more »

Pion

In particle physics, a pion (or a pi meson, denoted with the Greek letter pi) is any of three subatomic particles:,, and.

New!!: Scalar field solution and Pion · See more »

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.

New!!: Scalar field solution and Pseudo-Riemannian manifold · See more »

Quintessence (physics)

In physics, quintessence is a hypothetical form of dark energy, more precisely a scalar field, postulated as an explanation of the observation of an accelerating rate of expansion of the universe.

New!!: Scalar field solution and Quintessence (physics) · See more »

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.

New!!: Scalar field solution and Riemann curvature tensor · See more »

Scalar field

In mathematics and physics, a scalar field associates a scalar value to every point in a space – possibly physical space.

New!!: Scalar field solution and Scalar field · See more »

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.

New!!: Scalar field solution and Spacetime · See more »

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.

New!!: Scalar field solution and Stress–energy tensor · See more »

Vector field

In vector calculus and physics, a vector field is an assignment of a vector to each point in a subset of space.

New!!: Scalar field solution and Vector field · See more »

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.

New!!: Scalar field solution and Wave equation · See more »

References

[1] https://en.wikipedia.org/wiki/Scalar_field_solution

OutgoingIncoming
Hey! We are on Facebook now! »