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.
Vardanyan T., Kamenshchik A.Y. (2022). Exact Solutions of the Einstein Equations for an Infinite Slab with Constant Energy Density. Cham : Brikhauser [10.1007/978-3-031-21845-3_11].
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
