Gödel black hole, closed timelike horizon, and the study of particle emissions
arXiv:0904.3441 · doi:10.1007/s10714-010-0948-x
Abstract
We show that a particle, with positive orbital angular momentum, following an outgoing null/timelike geodesic, shall never reach the closed timelike horizon (CTH) present in the -dimensional rotating Gödel black hole space-time. Therefore a large part of this space-time remains inaccessible to a large class of geodesic observers, depending on the conserved quantities associated with them. We discuss how this fact and the existence of the closed timelike curves present in the asymptotic region make the quantum field theoretic study of the Hawking radiation, where the asymptotic observer states are a pre-requisite, unclear. However, the semiclassical approach provides an alternative to verify the Smarr formula derived recently for the rotating Gödel black hole. We present a systematic analysis of particle emissions, specifically for scalars, charged Dirac spinors and vectors, from this black hole via the semiclassical complex path method.
13 pages; minor changes, references added
References in corpus (13)
- Fermions Tunnelling from Black Holes
- Tunnelling, Temperature and Taub-NUT Black Holes
- Charged Fermions Tunnelling from Kerr-Newman Black Holes
- Anomalies, Hawking Radiations and Regularity in Rotating Black Holes
- Dirac particles tunneling from BTZ black hole
- Fermion Tunneling from Dynamical Horizons
- Fermion Tunneling Beyond Semiclassical Approximation
- Hawking radiation of Dirac particles via tunneling from Kerr black hole
- Dirac particles' tunnelling from black rings
- Tunnelling From Gödel Black Holes
- General Non-extremal Rotating Charged Godel Black Holes in Minimal Five-Dimensional Gauged Supergravity
- Tunnelling through black rings
- Scalar emission in a rotating Gödel black hole