Tunneling of Hawking Radiation in Starobinsky-Bel-Robinson gravity

TL;DR

This paper investigates Hawking radiation in a Schwarzschild-like black hole within Starobinsky-Bel-Robinson gravity, calculating temperature corrections beyond semi-classical approximation using tunnelling methods.

Contribution

It introduces a novel analysis of Hawking temperature corrections in SBR gravity, comparing geometric modifications and quantum effects beyond semi-classical theory.

Findings

Hawking temperature deviates from Schwarzschild prediction in SBR gravity

Temperature corrections are comparable whether modifying geometry or including quantum effects

The tunnelling method effectively captures beyond semi-classical temperature corrections.

Abstract

We examine Hawking radiation for a Schwarszchild-type black hole in Starobinsky Bel Robinson (SBR) gravity and calculate the corrected Hawking Temperature using the tunnelling method. We then discuss the deviation of our Hawking temperature from the standard Schwarszchild result. We relate the corrections to the Hawking temperature beyond the semi-classical approximation. We highlight that starting with a modification of the classical black hole geometry and calculating the semi-classical Hawking temperature, yields temperature corrections comparable to those obtained when the classical background is kept unchanged and beyond semi-classical terms in the temperature are included.