Институт теоретической физики им. Л.Д. Ландау РАН

L.D. Landau Institute for Theoretical Physics RAS

L.D. Landau Institute for Theoretical Physics RAS

"Quantum Fluids, Quantum Field Theory, and Gravity"

Exact solutions in general relativity, Kasner universes and singularities

Date/Time: 14:30 19-Oct-2019

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. We also discuss general problems of interpretation of singularities in General Relativity and Cosmology.

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