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

TL;DR

This paper investigates quantum fields in spacetimes with bifurcate Killing horizons, revealing that non-canonical temperature differences lead to additional horizon singularities in correlation functions across various black hole and de Sitter models.

Contribution

It introduces the analysis of quantum fields with different left- and right-mode temperatures in black hole and de Sitter spacetimes, highlighting new horizon singularities.

Findings

Extra horizon singularities occur when temperatures deviate from canonical values.

Correlation functions exhibit additional singularities at the horizon.

Results apply to Rindler, de Sitter, and Schwarzschild black hole backgrounds.

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.