Deriving The Schwarzschild Solution
The Schwarzschild solution is one of the simplest and most useful solutions of the Einstein field equations (see general relativity). It describes spacetime in the vicinity of a non-rotating massive spherically-symmetric object. It is worthwhile deriving this metric in some detail; the following is a reasonably rigorous derivation that is not always seen in the textbooks.
Read more about Deriving The Schwarzschild Solution: Assumptions and Notation, Diagonalising The Metric, Simplifying The Components, Calculating The Christoffel Symbols, Using The Field Equations To Find And, Using The Weak-Field Approximation To Find And, Alternative Form in Isotropic Coordinates, Dispensing With The Static Assumption - Birkhoff's Theorem
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