2023/03/21 by Jonatas A. Silva, Silva, Jonatas A., F. C. Carvalho +3
Mathematics · Neuroscience · #06F30 #26E30 #30G06 #46T20 #83D05 #83D99 #Cognitive Science and Education Research #FOS: Mathematics #FOS: Physical sciences #Functional Analysis (math.FA) #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #Probability and Statistical Research
paper · pdf · doi:10.48550/arxiv.2303.11907
openalex publication_date 2023/03/21 · openalex created_date 2023/03/23 · openalex updated_date 2026/07/28
The proposal "no boundary" of physicists Hartle and Hawking seeks to build a satisfactory model of the early Universe, in a way that avoids the singularity "Big Bang" of the beginning of the Universe. As a consequence of this proposal, the concept of metric signature change arises, which is approached in different ways in the literature. Here, we reinterpret the Mansouri-Nozari approach, which modifies the FLRW metric, and uses the formalism of Colombeau's Algebras, to develop its equations. In addition, we write the function that changes the sign in terms of redshift. Finally, we developed Friedmann's equations, of the modified metric, as well as the equation of state and other relevant equations in Cosmology.