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5 - Nonperturbative gravity: the vacuum Schwarzschild solution

Published online by Cambridge University Press:  24 April 2025

Horatiu Nastase
Affiliation:
Universidade Estadual Paulista, São Paulo
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Summary

We first describe the Newtonian limit for gravity, in particular in the case of spherical symmetry. We use it to help with the ansatz in the case of the vacuum solution of the Einstein’s equations with spherical symmetry. After calculating the equations of motion on the ansatz, we find the most general such solution, the Schwarzschild solution. We also define what a Schwarzschild black hole is.

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Chapter
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General Relativity
A Graduate Course
, pp. 54 - 63
Publisher: Cambridge University Press
Print publication year: 2025

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