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http://repositoriodigital.ipn.mx/handle/123456789/11417
Título : | ASYMPTOTIC PROPERTIES OF A SUPPOSEDLY REGULAR (DIRAC-BORN-INFELD) MODIFICATION OF GENERAL RELATIVITY |
Palabras clave : | modified gravity gravity alternatives to inflation physics of the early universe |
Fecha de publicación : | 16-ene-2013 |
Editorial : | IOP PUBLISHING |
Descripción : | We apply the dynamical systems tools to study the asymptotic properties of a
cosmological model based on a non-linear modification of General Relativity in which the
standard Einstein-Hilbert action is replaced by one of Dirac-Born-Infeld type. It is shown
that the dynamics of this model is extremely rich: there are found equilibrium points in
the phase space that can be associated with matter-dominated, matter-curvature scaling, de
Sitter, and even phantom-like solutions. Depending on the value of the overall parameters
the dynamics in phase space can show multi-attractor structure into the future (multiple
future attractors may co-exist). This is a consequence of bifurcations in control parameter
space, showing strong dependence of the model’s dynamical properties on the free parameters.
Contrary to what is expected from non-linear modifications of general relativity of this kind,
removal of the initial spacetime singularity is not a generic feature of the corresponding
cosmological model. Instead, the starting point of the cosmic dynamics — the past attractor
in the phase space — is a state of infinitely large value of the Hubble rate squared, usually
associated with the big bang singularity. Centro de Investigacion en Ciencia Aplicada y Tecnologia Avanzada — Legaria del IPN. Departamento de Fısica, Universidad Central de Las Villas,Santa Clara, Cuba. Departamento de Fısica y Matematicas,Centro Universitario de Ciencias Exactas e Ingenierıas, Universidad de Guadalajara. Division de Ciencias e Ingenierıa de la Universidad de Guanajuato. |
URI : | http://www.repositoriodigital.ipn.mx/handle/123456789/11417 |
Otros identificadores : | 1475-7516 http://hdl.handle.net/123456789/934 |
Aparece en las colecciones: | Doctorado |
Ficheros en este ítem:
Fichero | Descripción | Tamaño | Formato | |
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6_GARCIA.pdf | 53.53 kB | Adobe PDF | Visualizar/Abrir |
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