New Model of 4D Einstein–Gauss–Bonnet Gravity Coupled with Nonlinear Electrodynamics

Sergey Il’Ich Kruglov

doi:10.3390/universe7070249

Abstract

New spherically symmetric solution in 4D Einstein–Gauss–Bonnet gravity coupled with nonlinear electrodynamics is obtained. At infinity, this solution has the Reissner–Nordström behavior of the charged black hole. The black hole thermodynamics, entropy, shadow, energy emission rate, and quasinormal modes of black holes are investigated.

Highlights

The heterotic string theory at the low energy limit gives the action including higher order curvature terms [1,2,3,4,5]
We obtained the exact spherically symmetric and magnetized black hole (BH) solution in 4D Einstein–Gauss–Bonnet gravity (4D EGB) gravity coupled with nonlinear electrodynamics (NED)
The thermodynamics and the thermal stability of magnetically charged BHs were studied by calculating the Hawking temperature and the heat capacity

Summary

Introduction

The heterotic string theory at the low energy limit gives the action including higher order curvature terms [1,2,3,4,5]. The approach of Glavan and Lin was recently debated in [28,29,30,31,32,33] It was shown by [34,35] that solutions in the 4D EGB theory are different from GR solutions as they are due to extra infinitely strongly coupled scalars. The authors of [36,37,38] proposed a consistent theory of 4D EGB gravity with two dynamical degrees of freedom that breaks the temporal diffeomorphism invariance, in agreement with the Lovelock theorem. The authors considered EGB gravity in arbitrary D-dimensions with the Arnowitt–Deser–Misner decomposition They regularized the Hamiltonian with counterterms, where D − 1 diffeomorphism invariance holds and taking the limit D → 4.

The Model

The BH Thermodynamics

The Shadow of Black Holes

The Energy Emission Rate of Black Holes

Quasinormal Modes

Conclusions