Anomalies and de Sitter radiation from the generic black holes in de Sitter spaces

TL;DR

This paper investigates Hawking radiation and anomalies at the horizons of general black holes in de Sitter space, demonstrating that anomaly cancellation methods accurately reproduce Hawking fluxes at both event and cosmological horizons.

Contribution

It extends anomaly cancellation techniques to generic Schwarzschild-de Sitter and Kerr-de Sitter black holes, clarifying the effective field theory region between horizons.

Findings

Anomaly cancellation reproduces Hawking radiation fluxes at the horizons.

Gauge and gravitational fluxes match Hawking radiation predictions.

Effective field theory should be confined between the event and cosmological horizons.

Abstract

Robinson-Wilczek's recent work shows that, the energy momentum tensor flux required to cancel gravitational anomaly at the event horizon of a Schwarzschild-type black hole has an equivalent form to that of a (1+1)-dimensional blackbody radiation at the Hawking temperature. Motivated by their work, Hawking radiation from the cosmological horizons of the general Schwarzschild-de Sitter and Kerr-de Sitter black holes, has been studied by the method of anomaly cancellation. The result shows that the absorbing gauge current and energy momentum tensor fluxes required to cancel gauge and gravitational anomalies at the cosmological horizon are precisely equal to those of Hawking radiation from it. It should be emphasized that the effective field theory for generic black holes in de Sitter spaces should be formulated within the region between the event horizon (EH) and the cosmological horizon (CH), to integrate out the classically irrelevant ingoing modes at the EH and the classically irrelevant outgoing modes at the CH, respectively.