Information conservation in de Sitter tunneling

TL;DR

This paper investigates information conservation during tunneling processes in various de Sitter black holes, showing that radiation spectra deviate from pure thermal spectra and support unitarity and information preservation.

Contribution

It extends tunneling analysis to the most general de Sitter black holes, demonstrating information conservation and non-thermal spectra across these cases.

Findings

Radiation spectra deviate from pure thermal spectra

Supports unitarity and information conservation

Applicable to all asymptotic de Sitter space-times

Abstract

In this paper, we consider the three most general cases of progressive de Sitter spacetime. The charged and magnetic particles tunnel into the magnetically charged Reissner-Nordstr\"{o}m de Sitter black hole (the most general case of a static black hole), the Kerr-Newman-Kasuya de Sitter black hole (the most general case of a rotating black hole), and Bardeen de Sitter black hole (black hole without singularities). We use Parikh-Wilczek method to calculate the radiation spectra of these black holes respectively, and find that they deviate from the pure thermal spectra, satisfying the unitary principle. Our results support the conservation of information and are generally true for all asymptotic de Sitter space-times.