Vacuum polarization on topological black holes
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Citations
Ground and thermal states for the Klein-Gordon field on a massless hyperbolic black hole with applications to the anti-Hawking effect
Vacuum polarization on topological black holes with Robin boundary conditions
Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
Quantum field theory on global anti-de Sitter space-time with Robin boundary conditions
Semiclassical backreaction on asymptotically anti-de Sitter black holes
References
Analysis of scalar and fermion quantum field theory on anti-de Sitter space-time
Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
Vacuum polarization in asymptotically Lifshitz black holes
Vacuum polarization near asymptotically anti-de Sitter black holes in odd dimensions
Vacuum Polarization on the Brane
Related Papers (5)
Renormalized vacuum polarization on rotating warped AdS3 black holes
Frequently Asked Questions (2)
Q2. What future works have the authors mentioned in the paper "Vacuum polarization on topological black holes" ?
Here the authors have restricted their attention to a massless, conformally-coupled scalar field, and an open question remains whether these effects of the event horizon topology on the VP extend to the massive case or more general couplings to the space-time curvature. Extending this method to horizons with zero or negative curvature is likely to be rather involved, so the authors leave this for future work. Either of these extensions to the work presented here would involve finding a representation of the tail part of the Hadamard parametrix, which can be ignored when calculating the renormalized VP for a massless, conformally-coupled scalar field. The extended coordinate method can be used to find a mode-sum representation for the tail [ 64 ] when the event horizon has positive curvature.