Dyonic matter equations, exact pointsource solutions, and charged black holes in generalized BornInfeld theory
Abstract
We derive the equations of motion governing static dyonic matters, described in terms of two real scalar fields, in nonlinear electrodynamics of the BornInfeld theory type. We then obtain exact finiteenergy solutions of these equations in the quadratic and logarithmic nonlinearity cases subject to dyonic pointcharge sources and construct dyonically charged black holes with relegated curvature singularities. In the case of quadratic nonlinearity, which is the core model of this work, we show that dyonic solutions enable us to restore electromagnetic symmetry, which is known to be broken in nondyonic situations by exclusion of monopoles. We further demonstrate that in the context of kessence cosmology the nonlinear electrodynamics models possess their own distinctive signatures in light of the underlying equations of state of the cosmic fluids they represent. In this context, the quadratic and logarithmic models are shown to resolve a densitypressure inconsistency issue exhibited by the original BornInfeld model kessence action function as well as by all of its fractionalpowered extensions. Moreover, it is shown that the quadratic model is uniquely positioned to give rise to a radiationdominated era in the early universe among all the polynomial models and other examples considered.
 Publication:

Physical Review D
 Pub Date:
 April 2023
 DOI:
 10.1103/PhysRevD.107.085007
 arXiv:
 arXiv:2208.09737
 Bibcode:
 2023PhRvD.107h5007Y
 Keywords:

 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory;
 Mathematical Physics;
 78A25;
 83C22;
 83C56;
 83C57;
 83F05
 EPrint:
 38 pages, 1 figure