Heating up an environment around black holes and inside de Sitter space

Abstract

We study quantum fields on spacetimes having a bifurcate Killing horizon by allowing the possibility that left- and right- (in-going and out-going) modes have different temperatures. We consider in particular the Rindler for both massless and massive fields, the static de Sitter and Schwarzschild black hole backgrounds for massive fields. We find that in all three cases, when any of the temperatures is different from the canonical one (Unruh, Hawking and Gibbons--Hawking, correspondingly) the correlation functions have extra singularities at the horizon.

24 pages, 4 figures; The version to appear in PRD, the title has been changed again according to the agreement with the editor

References in corpus (3)

• Characters of different secular effects in various patches of de Sitter space
• Secularly growing loop corrections in strong electric fields
• A note on canonical quantization of fields on a manifold

Cited by in corpus (17)

• Curved space equilibration vs. flat space thermalization (a short review)
• Doubling of physical states in the quantum scalar field theory for a remote observer in the Schwarzschild spacetime
• Notes on peculiarities of quantum fields in space-times with horizons
• Quantum fields in the future Rindler wedge
• Remarks on the thermofield double state in 4D black hole background
• Instability of de Sitter space under thermal radiation in different vacua
• Free energy and entropy in Rindler and de Sitter space-times
• Asymptotic behavior of solutions and spectrum of states in the quantum scalar field theory in the Schwarzschild spacetime
• Isometry invariance of exact correlation functions in various charts of Minkowski and de Sitter spaces
• Quantization of spinor field in the Schwarzschild spacetime and spin sums for solutions of the Dirac equation
• Hawking radiation of massive fields in 2D
• Is the Euclidean path integral always equal to the thermal partition function?
• On the backreaction issue for the black hole in de Sitter space-time
• De Sitter entropy: on-shell versus off-shell
• The Propagator Matrix Reloaded
• Quantization of electromagnetic field in the Schwarzschild spacetime
• Nontrivial self-consistent backreaction of quantum fields in 2D dilaton gravity