Particle-antiparticle in 4D charged Einstein-Gauss-Bonnet black hole

TL;DR

This paper investigates the charge properties and thermodynamics of 4D Einstein-Gauss-Bonnet black holes, revealing quantized charges, modified entropy formulas, and the influence of cosmological constant on black hole thermodynamics.

Contribution

It introduces the quantization of black hole charge in 4D Einstein-Gauss-Bonnet gravity and derives corrected entropy formulas including logarithmic terms.

Findings

Black hole charge is quantized.

Hawking-Bekenstein entropy has two logarithmic corrections.

Thermodynamics of EGB-AdS black holes is analyzed.

Abstract

We study the charge of the 4D-Einstein-Gauss-Bonnet black hole by a negative charge and a positive charge of a particle-antiparticle pair on the horizons r- and r+, respectively. We show that there are two types of the Schwarzschild black hole. We show also that the Einstein-Gauss-Bonnet black hole charge has quantified values. We obtain the Hawking-Bekenstein formula with two logarithmic corrections, the second correction depends on the cosmological constant and the black hole charge. Finally, we study the thermodynamics of the EGB-AdS black hole.