Hawking radiation inside a charged, cosmological black hole

TL;DR

This paper investigates the perceived Hawking radiation temperature inside a charged, cosmological black hole, analyzing mode behavior at horizons and implications for cosmic censorship in Reissner-Nordström-(anti-)de Sitter spacetime.

Contribution

It introduces an effective temperature formalism for Hawking modes perceived by free-falling observers in RNdS spacetime and examines its implications for cosmic censorship and thermal spectra.

Findings

Modes at the inner horizon exhibit specific temperature behaviors.

The effective temperature formalism can predict Planckian spectra in certain regimes.

Analysis supports or challenges the strong cosmic censorship conjecture.

Abstract

We study the effective temperature, as a rate of gravitational redshift, of the Hawking modes perceived by a radially free falling observer at an arbitrary location in a Reissner-Nordstr\"{o}m-(anti-)de Sitter [RN(A)dS] spacetime. In particular, the behavior of the modes at the inner horizon, and therein the validity of the strong cosmic censorship conjecture under the effective temperature formalism, has been analyzed across the physically permissible parameter space of the RNdS metric. The modes perceived by observers of both positive and negative specific energies have been taken into consideration. Finally, the behavior of the adiabatic control function has been examined over the position space of the observer to determine the regimes where the effective temperature function yields a Planckian spectrum of thermal radiation.