On the backreaction issue for the black hole in de Sitter space-time

Abstract

We consider quantum real massive scalar field in the de Sitter-Schwarzschild space-time backround. To have an analytic head way we study in detail the two-dimensional case, assuming that the situation in four dimensions will not be much different conceptually. It is assumed, that quantum field is in a thermal state i.e. described by the planckian distribution for the exact modes in the geometry under consideration. We calculate approximately the expectation value of stress-energy tensor near the cosmological and black hole horizons. It is shown that for a generic temperature backreaction from quantum fields on the geometry cannot be neglected. Thus, de Sitter-Schwarzschild space-time geometry inevitably is strongly modified by the quantum fluctuations of the matter fields.

10 pages, references, comments and calculation details added

References in corpus (6)

• Quantum fields in the future Rindler wedge
• Notes on peculiarities of quantum fields in space-times with horizons
• Free energy and entropy in Rindler and de Sitter space-times
• Cosmological Constant and Vacuum Zero Point Energy in Black Hole Backgrounds
• Hawking radiation of massive fields in 2D
• Thermal radiation in curved spacetime using influence functional formalism

Cited by in corpus (3)

• Is the Euclidean path integral always equal to the thermal partition function?
• De Sitter entropy: on-shell versus off-shell
• Nontrivial self-consistent backreaction of quantum fields in 2D dilaton gravity