Exact Solutions of the Einstein Equations for an Infinite Slab with Constant Energy Density Tereza Vardanyan & Alexander Yu. Kamenshchik Chapter First Online: 02 November 2022 115 Accesses Part of the Tutorials, Schools, and Workshops in the Mathematical Sciences book series (TSWMS) Abstract We find exact static solutions of the Einstein equations in the spacetime with plane symmetry, where an infinite slab with finite thickness and homogeneous energy (mass) density is present. In the first solution, the pressure is isotropic, while in the second solution the tangential components of the pressure are equal to zero. In both cases, the pressure vanishes at the boundaries of the slab. Outside the slab, these solutions are matched with the Rindler spacetime and with the Weyl–Levi-Civita spacetime, which represent special cases of the Kasner solution.

Exact Solutions of the Einstein Equations for an Infinite Slab with Constant Energy Density

Vardanyan T.
;
Kamenshchik A. Y.
2022

Abstract

Exact Solutions of the Einstein Equations for an Infinite Slab with Constant Energy Density Tereza Vardanyan & Alexander Yu. Kamenshchik Chapter First Online: 02 November 2022 115 Accesses Part of the Tutorials, Schools, and Workshops in the Mathematical Sciences book series (TSWMS) Abstract We find exact static solutions of the Einstein equations in the spacetime with plane symmetry, where an infinite slab with finite thickness and homogeneous energy (mass) density is present. In the first solution, the pressure is isotropic, while in the second solution the tangential components of the pressure are equal to zero. In both cases, the pressure vanishes at the boundaries of the slab. Outside the slab, these solutions are matched with the Rindler spacetime and with the Weyl–Levi-Civita spacetime, which represent special cases of the Kasner solution.
2022
Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity
235
250
Vardanyan T.; Kamenshchik A.Y.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/938359
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