Anisotropic generalizations of de Sitter spacetime

TL;DR

This paper introduces a new class of exact solutions in spherical symmetry where the energy-momentum tensor has two distinct isotropic subspaces, extending the understanding of anisotropic generalizations of de Sitter spacetime.

Contribution

It presents novel exact solutions with anisotropic properties, expanding the theoretical framework of de Sitter spacetime generalizations.

Findings

New exact solutions with anisotropic energy-momentum tensors

Extension of de Sitter spacetime models to anisotropic cases

Discussion of physical and geometric properties of these solutions

Abstract

It is known that de Sitter spacetime can be seen as the solution of field equation for completely isotropic matter. In the present paper a new class of exact solutions in spherical symmetry is found and discussed, such that the energy--momentum tensor has two 2--dimensional distinct isotropic subspaces.