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15 votes
2 answers
5k views

Derivation of Kerr metric, is there any reference?

In studying general relativity, many text deals with the derivation of Schwarzschild metric starting from generic metric form. After that impose static, spherical symmetry and obtain the desired ...
7 votes
0 answers
147 views

Resource Recommendation for black hole metrics in General Relativity

In classical textbooks for GR, Schwarzschild and Kerr spacetimes are adequately described. In which books or articles, it is mostly believed that Reissner–Nordstrom, Kerr–Newman, Schwarzschild–de ...
5 votes
4 answers
5k views

Kerr metric Christoffel symbols

I've been slaving away trying to calculate the Christoffel symbols for the Kerr metric. Does anybody know of a link that I could compare my answers to? I've done some Google searches and all I can ...
4 votes
0 answers
229 views

Reference for list of the non-zero, unique components of the Riemann tensor for the Kerr metric

Does there exist textbook or webpage which has a list of the unique components of $R^{\mu}_{\nu \alpha \beta}$ for the Kerr metric? Such a reference is easy enough to find for Schwarzchild (including ...
3 votes
0 answers
133 views

Sources for black hole geodesic orbits

I am looking for good sources that discuss both Kerr and Schwarzschild particle orbits (geodesics). Most sources write down the geodesic equations, constants of motion and the Hamiltonian, but do not ...
1 vote
0 answers
72 views

Current status and reference request for the Black Hole Stability Conjecture

The Black Hole Stability Conjecture is one of the most important open problems in the field of General Relativity, and remains open in spite of the advances in the past half century. To test Einstein’...