All Questions
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Rotating Observers in Kerr Spacetime
I am learning about the Kerr metric and I am using the book Gravitation - Foundations and Frontiers by T. Padmanabhan.
While discussing a 'static limit' he considers an observer rotating with an ...
1
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0
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Killing Horizons in the Kerr Metric
I seem to be quite confused with Killing vector fields, Killing horizons and null horizons, especially in the context of the Kerr metric. I have a couple of questions regarding this, and the text I am ...
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The Killing vector $\chi=\partial_t+\Omega_H\partial_\phi$ doesn't look normal to the Killing horizon for a Kerr BH
As mentioned in Carroll's Spacetime and Geometry p. 244, a Killing vector is normal to its Killing horizon. With some help from the other forum, I could check this is true. (FYI, here the Killing ...
1
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1
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Killing vector $\xi_\alpha$ at event horizon of Kerr black hole
I am calculating surface gravity of Kerr Black Hole following 'A Relativist's toolkit' which uses the definition
$$ \left(-\xi^\beta \xi_\beta\right);_\alpha=2\kappa \xi_\alpha$$
where $\kappa$ is ...
2
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1
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646
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Killing Horizon for Kerr Black Hole
I have some confusion about Killing Horizon of BH.
Since a Killing Horizon (KH) is a null hyper-surface at which killing vector $k^{\mu}$ is null; $k^{\mu}k_{\mu}=0.$ For time translation symmetry $...