Modified geodetic brane cosmology
Rub\'en Cordero, Miguel Cruz, Alberto Molgado, Efra\'in Rojas

TL;DR
This paper investigates a modified geodetic brane cosmology model incorporating extrinsic curvature corrections, leading to a generalized Friedmann equation that can describe accelerated cosmic expansion depending on model parameters.
Contribution
It introduces a new correction term in geodetic brane gravity, deriving a generalized Friedmann equation and analyzing its implications for cosmic acceleration.
Findings
The model can produce self-accelerated expansion without dark energy.
The behavior depends on the eta-parameter and matter content.
It resembles DGP brane cosmology in certain limits.
Abstract
We explore the cosmological implications provided by the geodetic brane gravity action corrected by an extrinsic curvature brane term, describing a codimension-1 brane embedded in a 5D fixed Minkowski spacetime. In the geodetic brane gravity action, we accommodate the correction term through a linear term in the extrinsic curvature swept out by the brane. We study the resulting geodetic-type equation of motion. Within a Friedmann-Robertson-Walker metric, we obtain a generalized Friedmann equation describing the associated cosmological evolution. We observe that, when the radiation-like energy contribution from the extra dimension is vanishing, this effective model leads to a self-(non-self)-accelerated expansion of the brane-like universe in dependence on the nature of the concomitant \beta-parameter associated with the correction, which resembles an analogous behaviour in the DGP brane…
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