Einstein's hole argument and Schwarzschild singularities

Autor:	Gogberashvili, Merab
Rok vydání:	2023
Předmět:	General Relativity and Quantum Cosmology High Energy Physics - Theory
Zdroj:	Ann. Phys. 452 (2023) 169274
Druh dokumentu:	Working Paper
DOI:	10.1016/j.aop.2023.169274
Popis:	According to the Einstein hole argument, vacuum metric solutions are equivalent only if they correspond to the same energy--momentum tensor in the source region. In this paper it is shown that singular coordinates that are used to show Schwarzschild geodesics completeness, introduce the fictive delta-like sources at the horizon. Then, metric tensors obtained by such singular transformations, cannot be considered as solutions of the same Einstein equations with the central source. Comment: 13 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.10348 Zobrazit plný text záznamu View this record from Arxiv