TY - JOUR
T1 - Asymptotic properties of a supposedly regular (Dirac-Born-Infeld) modification of general relativity
AU - García-Salcedo, Ricardo
AU - Gonzalez, Tame
AU - Moreno, Claudia
AU - Napoles, Yunelsy
AU - Leyva, Yoelsy
AU - Quiros, Israel
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
KW - Alternatives to inflation
KW - Gravity
KW - Modified gravity
KW - Physics of the early universe
UR - http://www.scopus.com/inward/record.url?scp=77649209062&partnerID=8YFLogxK
U2 - 10.1088/1475-7516/2010/02/027
DO - 10.1088/1475-7516/2010/02/027
M3 - Artículo
SN - 1475-7516
VL - 2010
JO - Journal of Cosmology and Astroparticle Physics
JF - Journal of Cosmology and Astroparticle Physics
IS - 2
M1 - 027
ER -