Geodesic completeness in a wormhole spacetime with horizons

Abstract

The geometry of a spacetime containing a wormhole generated by a spherically symmetric electric field is investigated in detail. These solutions arise in high-energy extensions of General Relativity formulated within the Palatini approach and coupled to Maxwell electrodynamics. Even though curvature divergences generically arise at the wormhole throat, we find that these spacetimes are geodesically complete. This provides an explicit example where curvature divergences do not imply spacetime singularities.

17 double column pages, 22 figures, to appear in Phys. Rev. D

References in corpus (12)

• The Confrontation between General Relativity and Experiment
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Noncommutative geometry inspired charged black holes
• Dark Matter from R^2-gravity
• Regular black holes: Electrically charged solutions, Reissner-Nordström outside a de Sitter core
• Violation of the Equivalence Principle in Modified Theories of Gravity
• Thermodynamics and phase transitions in the Born-Infeld-anti-de Sitter black holes
• Self sustained phantom wormholes in semi-classical gravity
• Entropy and temperature of black holes in a gravity's rainbow
• Born-Infeld gravity and its functional extensions
• Crystal clear lessons on the microstructure of space-time and modified gravity
• Infrared lessons for ultraviolet gravity: the case of massive gravity and Born-Infeld

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