Hawking emission of charged particles from an electrically charged spherical black hole with scalar hair

TL;DR

This paper investigates the Hawking emission of charged particles from a charged black hole with scalar hair, revealing how scalar hair influences entropy and charge-mass emission bounds.

Contribution

It introduces a semi-classical tunneling approach to analyze charged particle emission from scalar-haired black holes, highlighting the impact of scalar hair on entropy and emission bounds.

Findings

Scalar hair modifies the black hole's entropy to include energy-dependent terms.

The charge-mass ratio upper bound decreases with increasing scalar charge.

Emission rates depend on the scalar hair, affecting black hole thermodynamics.

Abstract

A static spherically symmetric black hole usually turns out to be either a Schwarzschild black hole or a Reissner-Nordstr\"{o}m black hole. This result was summarised by Ruffini and Wheeler as the so-called no hair conjecture which states that for a spherically symmetric black hole only the information about mass ($M$) and electric charge ($e$) of the black hole is available for an external observer. In this work, we calculate the emission rate of charged particles from an asymptotically flat charged spherically symmetric black hole endowed with a scalar hair using a semi-classical tunneling formalism. We observe that the total entropy of the black hole contains an energy-dependent part due to the scalar charge. The upper bound on the charge-mass ratio of the emitted particles is also observed to decrease with the scalar charge as well.