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Exact solutions of the Einstein equations for an infinite slab with a constant energy density | | Alexander Yu. Kamenshchik
; Tereza Vardanyan
; | | Date: |
23 Nov 2018 | | 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. | | Source: | arXiv, 1811.9493 | | Services: | Forum | Review | PDF | Favorites | |
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