Hawking radiation from black holes in de Sitter spaces via covariant anomalies

TL;DR

This paper introduces a novel method using covariant anomaly cancellation to compute Hawking radiation fluxes from both event and cosmic horizons in Schwarzschild-de Sitter black holes, employing a region-splitting approach with step functions.

Contribution

It presents a new derivation technique that divides the spacetime into three regions and uses covariant energy-momentum tensors to calculate Hawking fluxes from multiple horizons.

Findings

Successfully computes Hawking fluxes from event and cosmic horizons

Employs a novel region-splitting approach with step functions

Provides a unified framework for analyzing black holes in de Sitter space

Abstract

We apply the covariant anomaly cancellation method to compute the Hawking fluxes from the event and cosmic horizons of the Schwarzschild-de Sitter black hole. The derivation is new from the existing ones as we split the space in three different regions (near to and away from the event and cosmic horizons) and write down the covariant energy-momentum tensor using three step functions which covers the whole region leading elegantly to the conditions required to compute the Hawking fluxes from the event and cosmic horizons.