English

Taming Dirac strings and timelike loops in vacuum gravity

General Relativity and Quantum Cosmology 2019-07-03 v1 High Energy Physics - Theory

Abstract

The problem of singularities associated with Dirac strings and closed timelike curves in classical solutions of pure gravity is analyzed here. A method to eliminate these is introduced and established first for the Taub-NUT geometry. This is superceded by a smooth solution of first order field equations, which is defined to be a unique extension of the Taub Universe to a degenerate metric phase. As an additional feature, this framework naturally provides a geometric interpretation of the magnetic charge in the context of gravity theory without matter. Finally, exploiting the two phases of the metric determinant, we find a (smooth and unique) continuation of the Misner geometry as well, ridding it of closed timelike worldlines which exist in its otherwise Einsteinian manifestation.

Keywords

Cite

@article{arxiv.1902.07748,
  title  = {Taming Dirac strings and timelike loops in vacuum gravity},
  author = {Suvikranth Gera and Sandipan Sengupta},
  journal= {arXiv preprint arXiv:1902.07748},
  year   = {2019}
}

Comments

17 pages

R2 v1 2026-06-23T07:46:26.104Z