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4 votes
3 answers
672 views

What is the proof that the Schwarzschild metric is not static inside the horizon?

In Lecture Notes on General Relativity, Sean M. Carroll shows that the Schwarzschild metric is not only stationary but also static (Chapter 7, page 169, Eq. 7.20 and following interpretation). On the ...
JanG's user avatar
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4 votes
1 answer
1k views

I'm confused about the number of Killing vectors in Schwarzschild metric

I'm trying to perform a calculation to derive the Killing vectors of a spherically symmetric metric (so I use the Schwarzschild metric without loss of generality because the Birkhoff theorem tells me ...
Explosiveness's user avatar
0 votes
0 answers
340 views

Killing vectors of Schwarzschild: Solution

In the solution of the Killing equations for Schwarzschild metric, $\nabla_\mu\xi_\nu+\nabla_\nu\xi_\mu=0$ for rotational part of symmetry participate Christoffel symbols with purely angular ...
Constantin's user avatar
2 votes
1 answer
824 views

Killing Vectors of BTZ black hole and their calculation in general

I was wondering what are the Killing vectors of BTZ black hole and how to guess them easily? Will it be the same as of AdS? What then will be Killing vectors for AdS-Schwarzschild e.g.?
user1349's user avatar
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