Regular out of the singular: exacts results on top of a curvature singularity

Autor:	Fiorini, Franco, Páez, Juan Manuel
Rok vydání:	2024
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory
Druh dokumentu:	Working Paper
Popis:	By constructing a model of spacetime having a strong curvature singularity in which causal geodesics are complete, but more generic causal curves are not, we explicitly show that some electrostatic field configurations on that background are regular everywhere, including \emph{there} where the spacetime ceases to be described by a pseudo-Riemannian manifold. Our calculations are performed using the analogue-gravity description provided by Plebanski and Tamm, according to which the characterization of the electromagnetic field on a generic curved background is equivalent to solving Maxwell's equations in flat space with a matter content verifying certain non-trivial constitutive relations. The regularity of the electric field in what could be considered the worst conceivable physical condition, opens the door to further investigation into the possibility of propagating signals capable of crossing a spacetime singularity. Comment: 9 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.07010 Zobrazit plný text záznamu View this record from Arxiv