Eur. Phys. J. C (2016) 76: 143
https://doi.org/10.1140/epjc/s10052-016-3999-7

Regular Article - Theoretical Physics

Classical resolution of black hole singularities via wormholes

¹ Departamento de Física Teórica and IFIC, Centro Mixto Universidad de Valencia-CSIC, Universidad de Valencia, Burjassot, 46100, Valencia, Spain
² Departamento de Física, Universidade Federal da Paraíba, João Pessoa, Paraíba, 58051-900, Brazil
³ Faculdade de Ciências, Instituto de Astrofísica e Ciências do Espaço, Universidade de Lisboa, Campo Grande, PT1749-016, Lisbon, Portugal
⁴ Department of Physics, Center for Field Theory and Particle Physics, Fudan University, 220 Handan Road, Shanghai, 200433, China

^* e-mail: drgarcia@fc.ul.pt

Received: 12 February 2016
Accepted: 3 March 2016
Published online: 15 March 2016

Abstract

In certain extensions of General Relativity, wormholes generated by spherically symmetric electric fields can resolve black hole singularities without necessarily removing curvature divergences. This is shown by studying geodesic completeness, the behavior of time-like congruences going through the divergent region, and by means of scattering of waves off the wormhole. This provides an example of the logical independence between curvature divergences and space-time singularities, concepts very often identified with each other in the literature.