Nonsingular electrovacuum solutions with dynamically generated cosmological constant

Abstract

We consider static spherically symmetric configurations in a Palatini extension of General Relativity including $R^2$ and Ricci-squared terms, which is known to replace the central singularity by a wormhole in the electrovacuum case. We modify the matter sector of the theory by adding to the usual Maxwell term a nonlinear electromagnetic extension which is known to implement a confinement mechanism in flat space. One feature of the resulting theory is that the non-linear electric field leads to a dynamically generated cosmological constant. We show that with this matter source the solutions of the model are asymptotically de Sitter and possess a wormhole topology. We discuss in some detail the conditions that guarantee the absence of singularities and of traversable wormholes.

7 double-column pages; v2: several changes in abstract and introduction

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• Black holes in five-dimensional Palatini $f(R)$ gravity and implications for the AdS/CFT correspondence
• Dynamical generation of wormholes with charged fluids in quadratic Palatini gravity
• Classical resolution of black hole singularities in arbitrary dimension
• Exploring Non-perturbative Corrections in Thermodynamics of Static Dirty Black Holes
• Echoes from bounded universes
• Gravitational and topological effects on $\sqrt{-F^2}$ Confinement Dynamics
• Non-Riemannian geometry: towards new avenues for the physics of modified gravity
• Charge-Confining Gravitational Electrovacuum Shock Wave
• Matter accretion versus semiclassical bounce in Schwarzschild interior