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Exact solutions in general relativity and Metric tensor (general relativity)

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Exact solutions in general relativity and Metric tensor (general relativity)

Exact solutions in general relativity vs. Metric tensor (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. In general relativity, the metric tensor (in this context often abbreviated to simply the metric) is the fundamental object of study.

Similarities between Exact solutions in general relativity and Metric tensor (general relativity)

Exact solutions in general relativity and Metric tensor (general relativity) have 16 things in common (in Unionpedia): Deriving the Schwarzschild solution, Differentiable manifold, Eigenvalues and eigenvectors, Einstein field equations, Friedmann–Lemaître–Robertson–Walker metric, Gödel metric, General relativity, Gravitational constant, Integrable system, Minkowski space, Partial differential equation, Pseudo-Riemannian manifold, Ricci curvature, Riemann curvature tensor, Stress–energy tensor, Tensor.

Deriving the Schwarzschild solution

The Schwarzschild solution describes spacetime in the vicinity of a non-rotating massive spherically-symmetric object.

Deriving the Schwarzschild solution and Exact solutions in general relativity · Deriving the Schwarzschild solution and Metric tensor (general relativity) · See more »

Differentiable manifold

In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a linear space to allow one to do calculus.

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Eigenvalues and eigenvectors

In linear algebra, an eigenvector or characteristic vector of a linear transformation is a non-zero vector that changes by only a scalar factor when that linear transformation is applied to it.

Eigenvalues and eigenvectors and Exact solutions in general relativity · Eigenvalues and eigenvectors and Metric tensor (general relativity) · 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.

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Friedmann–Lemaître–Robertson–Walker metric

The Friedmann–Lemaître–Robertson–Walker (FLRW) metric is an exact solution of Einstein's field equations of general relativity; it describes a homogeneous, isotropic, expanding or contracting universe that is path connected, but not necessarily simply connected.

Exact solutions in general relativity and Friedmann–Lemaître–Robertson–Walker metric · Friedmann–Lemaître–Robertson–Walker metric and Metric tensor (general relativity) · See more »

Gödel metric

The Gödel metric is an exact solution of the Einstein field equations in which the stress–energy tensor contains two terms, the first representing the matter density of a homogeneous distribution of swirling dust particles (dust solution), and the second associated with a nonzero cosmological constant (see lambdavacuum solution).

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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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Gravitational constant

The gravitational constant (also known as the "universal gravitational constant", the "Newtonian constant of gravitation", or the "Cavendish gravitational constant"), denoted by the letter, is an empirical physical constant involved in the calculation of gravitational effects in Sir Isaac Newton's law of universal gravitation and in Albert Einstein's general theory of relativity.

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Integrable system

In the context of differential equations to integrate an equation means to solve it from initial conditions.

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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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Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

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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.

Exact solutions in general relativity and Pseudo-Riemannian manifold · Metric tensor (general relativity) and Pseudo-Riemannian manifold · See more »

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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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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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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Tensor

In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.

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The list above answers the following questions

Exact solutions in general relativity and Metric tensor (general relativity) Comparison

Exact solutions in general relativity has 89 relations, while Metric tensor (general relativity) has 82. As they have in common 16, the Jaccard index is 9.36% = 16 / (89 + 82).

References

This article shows the relationship between Exact solutions in general relativity and Metric tensor (general relativity). To access each article from which the information was extracted, please visit:

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