Superposition of FLRW Universes

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.

arXiv comment13 pages, 4 figures, minor changes

References in corpus (11)

• The Pre-Big Bang Scenario in String Cosmology
• Inhomogeneous cosmological models: exact solutions and their applications
• McVittie's Legacy: Black Holes in an Expanding Universe
• A new kind of cyclic universe
• On CCC-predicted concentric low-variance circles in the CMB sky
• More on McVittie's Legacy: A Schwarzschild - de Sitter black and white hole embedded in an asymptotically $\Lambda$CDM cosmology
• Sudden future singularities in FLRW cosmologies
• A General Sudden Cosmological Singularity
• Geodesics at Sudden Singularities
• CCC and the Fermi paradox
• New Classes of Spherically Symmetric, Inhomogeneous Cosmological Models

Cited by in corpus (2)

• FLRW-Cosmology in Generic Gravity Theories
• Conformal Scale Factor Inversion for Domain Walls and Holography