Hawking's radiation in non-stationary rotating de Sitter background

TL;DR

This paper investigates Hawking radiation in a dynamic, rotating de Sitter universe, deriving horizon locations and temperatures that depend on time and angle, using generalized tortoise coordinates and stress-energy regularization.

Contribution

It introduces a method to analyze Hawking radiation in non-stationary rotating de Sitter space, revealing horizon properties and thermal effects with novel dependence on time and angle.

Findings

Horizon locations depend on time and angle.

Horizon temperatures vary with time and angle.

Thermal radiation is confirmed via stress-energy tensor analysis.

Abstract

Hawking's radiation effect of Klein-Gordon scalar field, Dirac particles and Maxwell's electromagnetic field in the non-stationary rotating de Sitter cosmological space-time is investigated by using a method of generalized tortoise co-ordinates transformation. The locations and the temperatures of the cosmological horizons of the non-stationary rotating de Sitter model are derived. It is found that the locations and the temperatures of the rotating cosmological model depend not only on the time but also on the angle. The stress-energy regularization techniques are applied to the two dimensional analog of the de Sitter metrics and the calculated stress-energy tensor contains the thermal radiation effect.