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Pushing the limits of time beyond the Big Bang singularity: The branch cut universe
Author(s) -
Zen Vasconcellos César A.,
Hess Peter O.,
Hadjimichef Dimiter,
Bodmann Benno,
Razeira Moisés,
Volkmer Guilherme L.
Publication year - 2021
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.202113992
Subject(s) - friedmann–lemaître–robertson–walker metric , scale factor (cosmology) , physics , metric (unit) , universe , singularity , spacetime , initial singularity , mathematical physics , metric expansion of space , big rip , theoretical physics , plane (geometry) , cosmic cancer database , classical mechanics , cosmology , geometry , de sitter universe , astronomy , mathematics , dark energy , quantum mechanics , operations management , economics
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.