Hawking radiation of a multi-fractional Schwarzschild black hole

TL;DR

This paper investigates Hawking radiation from a multi-fractional Schwarzschild black hole, analyzing temperature calculations and confirming results through tunnelling methods, with focus on differences between geometric and fractional frames.

Contribution

It provides detailed temperature derivations for multi-fractional black holes and verifies them using multiple methods, highlighting frame differences in the theory.

Findings

Hawking and Hayward temperatures derived for multi-fractional black holes

Results confirmed via Hamilton-Jacobi and null geodesic tunnelling methods

Distinct differences identified between geometric and fractional frames

Abstract

Following the initial work of Calcagni et al. on the black holes in multi-fractional theories, we focus on the Schwarzschild black hole in multi-fractional theory with q-derivatives. After presenting its Hawking and Hayward temperatures in detail, we verify these results by appealing to the well-known Hamilton-Jacobi and null geodesic methods of the tunnelling approach to Hawking radiation. A special emphasis is placed on the difference between the geometric and fractional frames.