Eloy Ayón-Beato

Regular black hole in general relativity coupled to nonlinear electrodynamics

The first regular exact black hole solution in General Relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution corresponds to a charged black hole with |q| \leq 2 s_c m \approx 0.6 m, having the metric, the curvature invariants, and the electric field regular everywhere.

New regular black hole solution from nonlinear electrodynamics

Abstract Using a nonlinear electrodynamics coupled to General Relativity a new regular exact black hole solution is found. The nonlinear theory reduces to the Maxwell one in the weak limit, and the solution corresponds to a charged black hole for |q|≤2s c m≈1.05 m , with metric, curvature invariants, and electric field regular everywhere.

The Bardeen model as a nonlinear magnetic monopole

Abstract The Bardeen model — the first regular black hole model in General Relativity — is reinterpreted as the gravitational field of a nonlinear magnetic monopole, i.e., as a magnetic solution to Einstein equations coupled to a nonlinear electrodynamics.

Lifshitz Black Hole in Three Dimensions

We show that three-dimensional massive gravity admits Lifshitz metrics with generic values of the dynamical exponent

Non-Singular Charged Black Hole Solution for Non-Linear Source

z

Analytic Lifshitz black holes in higher dimensions

as exact solutions. At the point

Bending AdS waves with new massive gravity

z=3

Four-parametric regular black hole solution

, exact black hole solutions that are asymptotically Lifshitz arise. These spacetimes are three-dimensional analogues of those that were recently proposed as gravity duals for anisotropic scale invariant fixed points.

pp waves of conformal gravity with self-interacting source

A non-singular exact black hole solution inGeneral Relativity is presented. The source is anon-linear electrodynamic field, which reduces to theMaxwell theory for weak field. The solution corresponds to a charged black hole with |q| ≤2scm ≈ 0.6 m, having metric, curvatureinvariants, and electric field boundedeverywhere.

Analytic self-gravitating Skyrmions, cosmological bounces and AdS wormholes

We generalize the four-dimensional R2-corrected z = 3/2 Lifshitz black hole to a two-parameter family of black hole solutions for any dynamical exponent z and for any dimension D. For a particular relation between the parameters, we find the first example of an extremal Lifshitz black hole. An asymptotically Lifshitz black hole with a logarithmic decay is also exhibited for a specific critical exponent depending on the dimension. We extend this analysis to the more general quadratic curvature corrections for which we present three new families of higher-dimensional D ≥ 5 analytic Lifshitz black holes for generic z. One of these higher-dimensional families contains as critical limits the z = 3 three-dimensional Lifshitz black hole and a new z = 6 four-dimensional black hole. The variety of analytic solutions presented here encourages to explore these gravity models within the context of non-relativistic holographic correspondence.