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Differentiable manifold and Exact solutions in general relativity

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

Difference between Differentiable manifold and Exact solutions in general relativity

Differentiable manifold vs. Exact solutions in general relativity

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. 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.

Similarities between Differentiable manifold and Exact solutions in general relativity

Differentiable manifold and Exact solutions in general relativity have 5 things in common (in Unionpedia): General relativity, Pseudo-Riemannian manifold, Riemann curvature tensor, Sophus Lie, Tensor.

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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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.

Differentiable manifold and Pseudo-Riemannian manifold · Exact solutions in general relativity and Pseudo-Riemannian manifold · 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.

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Sophus Lie

Marius Sophus Lie (17 December 1842 – 18 February 1899) was a Norwegian mathematician.

Differentiable manifold and Sophus Lie · Exact solutions in general relativity and Sophus Lie · See more »

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

Differentiable manifold and Exact solutions in general relativity Comparison

Differentiable manifold has 216 relations, while Exact solutions in general relativity has 89. As they have in common 5, the Jaccard index is 1.64% = 5 / (216 + 89).

References

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

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