Hadamard Renormalization of the Stress Energy Tensor in a Spherically Symmetric Black Hole Space-Time with an Application to Lukewarm Black Holes

Abstract

We consider a quantum field which is in a Hartle-Hawking state propagating in a spherically symmetric black hole space-time. We calculate the components of the stress tensor, renormalized using the Hadamard form of the Green's function, in the exterior region of this space-time. We then specialize these results to the case of the `lukewarm' Riessner-Nordstrom-de Sitter black hole.

17 pages, 8 figures and 2 tables

References in corpus (5)

• Vacuum polarization for lukewarm black holes
• Quasi-local contribution to the scalar self-force: Non-geodesic Motion
• Extended Green-Liouville asymptotics and vacuum polarization for lukewarm black holes
• Hadamard Renormalisation of the Stress Energy Tensor on the Horizons of a Spherically Symmetric Black Hole Space-Time
• Semiclassical lukewarm black holes

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