Superposition of FLRW Universes
General Relativity and Quantum Cosmology
2020-12-09 v3 High Energy Physics - Theory
Abstract
We show that (1) the Einstein field equations with a perfect fluid source admit a nonlinear superposition of two distinct homogenous Friedman-Lemaitre-Robertson-Walker (FLRW) metrics as a solution, (2) the superposed solution is an inhomogeneous geometry in general, (3) it reduces to a homogeneous one in the two asymptotes which are the early and the late stages of the universe as described by two different FLRW metrics, (4) the solution possesses a scale factor inversion symmetry and (5) the solution implies two kinds of topology changes: one during the time evolution of the superposed universe and the other occurring in the asymptotic region of space.
Keywords
Cite
@article{arxiv.2002.00398,
title = {Superposition of FLRW Universes},
author = {Metin Gurses and Yaghoub Heydarzade and Bayram Tekin},
journal= {arXiv preprint arXiv:2002.00398},
year = {2020}
}
Comments
13 pages, 4 figures, minor changes