Similarities between Exact solutions in general relativity and Ricci decomposition
Exact solutions in general relativity and Ricci decomposition have 11 things in common (in Unionpedia): Einstein field equations, Einstein tensor, General relativity, Gravitational wave, Petrov classification, Pseudo-Riemannian manifold, Ricci curvature, Riemann curvature tensor, Stress–energy tensor, Tensor, Weyl tensor.
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.
Einstein field equations and Exact solutions in general relativity · Einstein field equations and Ricci decomposition ·
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.
Einstein tensor and Exact solutions in general relativity · Einstein tensor and Ricci decomposition ·
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.
Exact solutions in general relativity and General relativity · General relativity and Ricci decomposition ·
Gravitational wave
Gravitational waves are the disturbance in the fabric ("curvature") of spacetime generated by accelerated masses and propagate as waves outward from their source at the speed of light.
Exact solutions in general relativity and Gravitational wave · Gravitational wave and Ricci decomposition ·
Petrov classification
In differential geometry and theoretical physics, the Petrov classification (also known as Petrov–Pirani–Penrose classification) describes the possible algebraic symmetries of the Weyl tensor at each event in a Lorentzian manifold.
Exact solutions in general relativity and Petrov classification · Petrov classification and Ricci decomposition ·
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 · Pseudo-Riemannian manifold and Ricci decomposition ·
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.
Exact solutions in general relativity and Ricci curvature · Ricci curvature and Ricci decomposition ·
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.
Exact solutions in general relativity and Riemann curvature tensor · Ricci decomposition and Riemann curvature tensor ·
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.
Exact solutions in general relativity and Stress–energy tensor · Ricci decomposition and Stress–energy tensor ·
Tensor
In mathematics, tensors are geometric objects that describe linear relations between geometric vectors, scalars, and other tensors.
Exact solutions in general relativity and Tensor · Ricci decomposition and Tensor ·
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.
Exact solutions in general relativity and Weyl tensor · Ricci decomposition and Weyl tensor ·
The list above answers the following questions
- What Exact solutions in general relativity and Ricci decomposition have in common
- What are the similarities between Exact solutions in general relativity and Ricci decomposition
Exact solutions in general relativity and Ricci decomposition Comparison
Exact solutions in general relativity has 89 relations, while Ricci decomposition has 35. As they have in common 11, the Jaccard index is 8.87% = 11 / (89 + 35).
References
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