Compact objects in conformal nonlinear electrodynamics

I P Denisova,B D Garmaev,V A Sokolov

doi:10.1140/epjc/s10052-019-7044-5

Abstract

In this paper we consider a special case of vacuum nonlinear electrodynamics with a stress–energy tensor conformal to the Maxwell theory. Distinctive features of this model are the absence of a dimensional parameter for the nonlinearity description and a very simple form of the dominant energy condition, which can easily be verified in an arbitrary pseudo-Riemannian space-time with the consequent constraints on the model parameters. In this paper we analyze some properties of astrophysical compact objects coupled to conformal vacuum nonlinear electrodynamics.

Highlights

Electromagnetic field theory, suggesting the possibility of nonlinear processes in vacuum due to the complicated dependence of the Lagrangian on the two electromagnetic field invariants, is usually called vacuum nonlinear electrodynamics
Heisenberg–Euler theory [9] originates from quantum electrodynamics (QED) based on Maxwell theory and considers the radiative corrections to vacuum polarization in an external electromagnetic field, which leads to vacuum behavior as a continuous medium with a nonlinear features
In the general conformal nonlinear electrodynamics (CNED) case these constants are different; they coincide in Maxwell electrodynamics and in the special type of CNED proposed in Ref. (30)

Summary

Introduction

Electromagnetic field theory, suggesting the possibility of nonlinear processes in vacuum due to the complicated dependence of the Lagrangian on the two electromagnetic field invariants, is usually called vacuum nonlinear electrodynamics. Heisenberg–Euler theory [9] originates from quantum electrodynamics (QED) based on Maxwell theory and considers the radiative corrections to vacuum polarization in an external electromagnetic field, which leads to vacuum behavior as a continuous medium with a nonlinear features This theory seems to be the one most profound and best justified, especially since some of its predictions have found experimental confirmation in a subcritical or perturbative regime. Some of them inherited the features of Born–Infeld electrodynamics; for instance, in [23] generalized Born–Infeld electrodynamics with two parameters was considered This modification saves the finiteness of the electric field energy of the point-like charge, but it leads to the prediction of vacuum birefringence.

Conformal vacuum nonlinear electrodynamics

Fundamental restrictions

Reissner–Nordström black hole

Vaidya–Bonnor radiating solution

Conclusion