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. The main tools used in this geometrical theory of gravitation are tensor fields defined on a Lorentzian manifold representing spacetime. This article is a general description of the mathematics of general relativity.
- Note: General relativity articles using tensors will use the abstract index notation.
Read more about Mathematics Of General Relativity: Why Tensors?, Spacetime As A Manifold, Tensors in General Relativity, Tensor Fields in General Relativity, Tensorial Derivatives, The Riemann Curvature Tensor, The Energy-momentum Tensor, The Einstein Field Equations, The Geodesic Equations, Lagrangian Formulation, Mathematical Techniques For Analysing Spacetimes
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