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13 - Penrose diagrams and black holes: the Schwarzschild example

Published online by Cambridge University Press:  24 April 2025

Horatiu Nastase
Affiliation:
Universidade Estadual Paulista, São Paulo
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Summary

We define Penrose diagrams, which keep the causal and topological properties of gravitational spacetimes, while moving infinity to a finite distance on the diagram. We use the examples of Minkowski space, in two dimensions and dimensions greater than two, then describe Anti-de Sitter spacetime in Poincaré coordinates (the Poincaré patch), and finally consider the Schwarzschild black hole.

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Chapter
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General Relativity
A Graduate Course
, pp. 137 - 148
Publisher: Cambridge University Press
Print publication year: 2025

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