Pushing the limits of time beyond the Big Bang singularity: The branch cut universe

In this article, we follow a previously developed theoretical approach, based on the tools of the singular semi‐Riemannian geometry, to push the limits of time beyond the primordial spacetime singularity. By complexifying the Friedmann–Lemaître–Robertson–Walker (FLRW) metric and Friedmann's equ...

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Bibliographic Details
Published in:Astronomische Nachrichten 2021-06, Vol.342 (5), p.765-775
Main Authors: Zen Vasconcellos, César A., Hess, Peter O., Hadjimichef, Dimiter, Bodmann, Benno, Razeira, Moisés, Volkmer, Guilherme L.
Format: Article
Language:English
Subjects:
Big Bang
Big bang cosmology
big bounce
branch cut universe
Friedmann's equations
general relativity
Singularity (mathematics)
Universe
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Summary:In this article, we follow a previously developed theoretical approach, based on the tools of the singular semi‐Riemannian geometry, to push the limits of time beyond the primordial spacetime singularity. By complexifying the Friedmann–Lemaître–Robertson–Walker (FLRW) metric and Friedmann's equations, we model a branch cut universe, in which the cosmic FLRW metric scale factor is analytically continued to the complex plane, and becomes equivalent from a conceptual point of view of describing a hypothetical general metric of maximally symmetric and homogeneous superposed multiple universes.
ISSN:0004-6337
1521-3994
DOI:10.1002/asna.202113992