We present a model for an inhomogeneous and anisotropic early universe filled with a nonlinear electromagnetic field of Born-Infeld (BI) type. The effects of the BI field are compared with the linear case (Maxwell). Since the curvature invariants are well behaved then we conjecture that our model does not present an initial big bang singularity. The existence of the BI field modifies the curvature invariants at t = 0 as well as sets bounds on the amplitude of the conformal metric function.
In this work we probe the Born-Infeld (BI) black hole in the isolated horizon framework. It turns out that the BI black hole is consistent with the heuristic model for colored black holes proposed by Ashtekar et al [(2001)Class.Quant.Grav. 18 919-940]. The model points to the unstability of the BI black hole.
An exact axisymmetric solution of the Einstein-Maxwell equations possessing two infinite sets of arbitrary real parameters and able to describe a deformed Kerr-Newman black hole in an external gravitational field is presented in a concise analytic form. The validity of Smarr's mass formula is demonstrated for a Kerr-Newman black hole surrounded by an external static gravitational field.
In this paper we study the trajectories of test particles in a geometry that is the nonlinear electromagnetic generalization of the Reissner–Nordström black hole. The solution was originally derived by García, Salazar and Plebañski (1984 Nuovo Cimento 84 65–90). The studied spacetime is an Einstein–Born–Infeld solution, nonsingular outside a regular event horizon and characterized by three parameters: mass M, charge Q and the Born–Infeld parameter b related to the magnitude of the electric field at the origin. Asymptotically it is a Reissner–Nordström solution.
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