Spatial Kasner solution and an infinite slab with constant energy density

Autor:	Kamenshchik, Alexander Yu., Vardanyan, Tereza
Rok vydání:	2020
Předmět:	General Relativity and Quantum Cosmology
Zdroj:	JETP Letters 111 (2020) no 6, 306-310
Druh dokumentu:	Working Paper
DOI:	10.1134/S0021364020060016
Popis:	We study the solutions of the Einstein equations in the presence of a thick infinite slab with constant energy density. When there is an isotropy in the plane of the slab, we find an explicit exact solution that matches with the Rindler and Weyl-Levi-Civita spacetimes outside the slab. We also show that there are solutions that can be matched with general anisotropic Kasner spacetime outside the slab. In any case, it is impossible to avoid the presence of the Kasner type singularities in contrast to the well-known case of spherical symmetry, where by matching the internal Schwarzschild solution with the external one, the singularity in the center of coordinates can be eliminated. Comment: 5 pages, to be published in JETP Letters
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2002.12916 Zobrazit plný text záznamu View this record from Arxiv