Hawking radiation from cubic and quartic black holes via tunneling of GUP corrected scalar and fermion particles

TL;DR

This paper investigates how the generalized uncertainty principle affects Hawking radiation from cubic and quartic hairy black holes, using tunneling methods for scalar and fermion particles, revealing temperature corrections independent of particle properties.

Contribution

It introduces GUP corrections to Hawking radiation analysis for complex black holes with cubic and quartic interactions, highlighting temperature invariance and particle-specific mass and momentum relations.

Findings

Hawking temperature is independent of tunneling particle properties.

GUP-corrected temperature is similar for scalar and fermion particles.

Different mass and momentum relations exist for particles in cubic and quartic interactions.

Abstract

We analyze the effect of the generalized uncertainty (GUP) principle on the Hawking radiation from the hairy black hole in U(1) gauge-invariant scalar-vector-tensor theory by utilizing the semiclassical Hamilton-Jacobi method. To do so, we evaluate the tunneling probabilities and Hawking temperature for scalar and fermion particles for the given spacetime of the black holes with cubic and quartic interactions. For this purpose, we utilize the modified Klein-Gordon equation for the Boson particles and then Dirac equations for the fermion particles, respectively. Next, we examine that the Hawking temperature of the black holes do not depend on the properties of tunneling particles. Moreover, we present the corrected Hawking temperature of scalar and fermion particles looks similar in both interactions, but there are different mass and momentum relationships for scalar and fermion particles in cubic and quartic interactions.