Hadamard Renormalisation of the Stress Energy Tensor on the Horizons of a Spherically Symmetric Black Hole Space-Time
arXiv:1111.3298 · doi:10.1103/PhysRevD.85.064026
Abstract
We consider a quantum field which is in a Hartle-Hawking state propagating in a general spherically symmetric black hole space-time. We make use of uniform approximations to the radial equation to calculate the components of the stress tensor, renormalized using the Hadamard form of the Green's function, on the horizons of this space-time. We then specialize these results to the case of the `lukewarm' Reissner-Nordstrom-de Sitter black hole and derive some conditions on the stress tensor for the regularity of the Hartle-Hawking state.
18 pages, minor changes to introduction and conclusions, typos corrected
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Cited by in corpus (8)
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- Hadamard Renormalization of the Stress Energy Tensor in a Spherically Symmetric Black Hole Space-Time with an Application to Lukewarm Black Holes
- Vacuum polarization on topological black holes with Robin boundary conditions
- Vacuum polarization on the brane
- Semi-Classical Backreaction on Asymptotically Anti-de Sitter Black Holes
- Vacuum polarization on topological black holes
- Vacuum fluctuation of conformally coupled scalar field in FLRW space-times