A type N radiation field solution with $\Lambda<0$ in a curved space-time and closed time-like curves
General Relativity and Quantum Cosmology
2018-05-22 v2
Abstract
An anti-de Sitter background four-dimensional type N solution of the Einstein's field equations, is presented. The matter-energy content pure radiation field satisfies the null energy condition (NEC), and the metric is free-from curvature divergence. In addition, the metric admits a non-expanding, non-twisting and shear-free geodesic null congruence which is not covariantly constant. The space-time admits closed time-like curves which appear after a certain instant of time in a causally well-behaved manner. Finally, the physical interpretation of the solution, based on the study of the equation of the geodesics deviation, is analyzed.
Keywords
Cite
@article{arxiv.1705.07405,
title = {A type N radiation field solution with $\Lambda<0$ in a curved space-time and closed time-like curves},
author = {Faizuddin Ahmed},
journal= {arXiv preprint arXiv:1705.07405},
year = {2018}
}
Comments
15 pages, no figure; titled changed, improved presentations, main result unchanged; accepted in EPJ C