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Main Authors: Campbell, Mariam, Daniel, Richard, Dunsby, Peter K. S., van de Bruck, Carsten
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.06031
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author Campbell, Mariam
Daniel, Richard
Dunsby, Peter K. S.
van de Bruck, Carsten
author_facet Campbell, Mariam
Daniel, Richard
Dunsby, Peter K. S.
van de Bruck, Carsten
contents We perform a detailed dynamical system analysis for the behaviour of a Dirac-Born-Infeld (DBI) field in a spatially closed Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology. The DBI field is characterised by a potential and brane tension. We study power-law or exponential functions for the potential and tension. We find that in a spatially closed FLRW cosmology, a DBI field in the ultra-relativistic limit allows for a broader range of initial conditions resulting in a bouncing universe than in the non-relativistic limit. We further note that the range of initial conditions allowing for a bounce is larger if we consider power-law functions for the potential and tension, compared to the exponential case. Our dynamical analysis shows that a DBI field does not exhibit stable cyclical behaviour, including the case in which a negative cosmological constant is present.
format Preprint
id arxiv_https___arxiv_org_abs_2405_06031
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Bouncing cosmologies in the presence of a Dirac-Born-Infeld field
Campbell, Mariam
Daniel, Richard
Dunsby, Peter K. S.
van de Bruck, Carsten
General Relativity and Quantum Cosmology
We perform a detailed dynamical system analysis for the behaviour of a Dirac-Born-Infeld (DBI) field in a spatially closed Friedmann-Lemaître-Robertson-Walker (FLRW) cosmology. The DBI field is characterised by a potential and brane tension. We study power-law or exponential functions for the potential and tension. We find that in a spatially closed FLRW cosmology, a DBI field in the ultra-relativistic limit allows for a broader range of initial conditions resulting in a bouncing universe than in the non-relativistic limit. We further note that the range of initial conditions allowing for a bounce is larger if we consider power-law functions for the potential and tension, compared to the exponential case. Our dynamical analysis shows that a DBI field does not exhibit stable cyclical behaviour, including the case in which a negative cosmological constant is present.
title Bouncing cosmologies in the presence of a Dirac-Born-Infeld field
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2405.06031