This article is a general description of the mathematics of general relativity. Note: General relativity articles using tensors will use the abstract index notation.

This concise textbook introduces the reader to advanced mathematical aspects of general relativity, covering topics like Penrose diagrams, causality theory, singularity theorems, the …

Relativity, wide-ranging physical theories formed by the German-born physicist Albert Einstein. Special relativity is limited to objects that are moving with respect to inertial frames of …

It turns out that this observation leads to much of modern differential geometry and the math of general relativity. The "parallel transport" of vectors refers to sliding a vector along a curve so …

This is the mathematical code which encapsulates in a snapshot the entire theory of general relativity. It represents sixteen equations (six of them duplicates) which define the nature of …

It concentrates on the mathematics of general relativity and other gauge fields, such as Maxwell's equations and the Yang-Mills equations, which describe the strong and electroweak forces.

The mathematical description of general relativity requires the mathematical language of dif-ferential geometry which uses the notions of metric, connection and curvature, which will be …

The mathematics of general relativity is complicated. In Newton 's theories of motion, an object's length and the rate at which time passes remain constant while the object accelerates, …

Mar 22, 2025 · The mathematics of general relativity refers to various mathematical structures and techniques that are used in studying and formulating Albert Einstein's theory of general relativity.

Nov 30, 2023 · This result is a noteworthy advance in the mathematical exploration of general relativity — a pursuit that continues to pay dividends more than a century after Einstein …