Non Rindler horizons and radiating black holes

TL;DR

This paper constructs new black hole metrics with non-Rindler horizons that radiate, challenging the typical Rindler approximation near horizons and exploring their properties through coordinate transformations and energy conditions.

Contribution

It introduces a novel class of radiating black hole solutions with horizons not approximated by Rindler spacetime, using coordinate transformations from Minkowski space.

Findings

Constructed metrics for radiating black holes with non-Rindler horizons.

Demonstrated these metrics can satisfy the null energy condition.

Showed observers can measure Minkowski vacuum as Planckian using specific coordinates.

Abstract

In this work we construct metrics corresponding to radiating black holes whose near horizon regions cannot be approximated by Rindler spacetime. We first construct infinite parameter coordinate transformations from Minkowski coordinates, such that an observer using these coordinates to describe spacetime events measures the Minkowski vacuum to be Planckian. Utilizing these results, we construct family of black holes that radiate at spatial infinity. As an illustration we study a subset of the black hole solutions that satisfy the null energy condition.