Geodesic completeness in a wormhole spacetime with horizons
High Energy Physics - Theory
2015-12-09 v1 General Relativity and Quantum Cosmology
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.
Cite
@article{arxiv.1508.03272,
title = {Geodesic completeness in a wormhole spacetime with horizons},
author = {Gonzalo J. Olmo and D. Rubiera-Garcia and A. Sanchez-Puente},
journal= {arXiv preprint arXiv:1508.03272},
year = {2015}
}
Comments
17 double column pages, 22 figures, to appear in Phys. Rev. D