Viscous Modified Gravity on a RS Brane Embedded in AdS5

Abstract

We consider a modified gravity fluid on a Randall-Sundrum II brane situated at y=0, the action containing a power αof the scalar curvature. As is known from 4D spatially flat modified gravity, the presence of a bulk viscosity may drive the cosmic fluid into the phantom region (w < -1) and thereafter inevitably into the Big Rip singularity, even it is initially nonviscous and lies in the quintessence region (w > -1). The condition for this to occur is that the bulk viscosity contains the power (2α-1) of the scalar expansion. We combine this with the 5D RS II model, and find that the Big Rip, occurring for α> 1/2, carries over to the metric for the bulk metric, |y|>0. Actually, the scale factors on the brane and in the bulk become simply proportional to each other.

12 pages, no figures; to appear in Eur. Phys. J. C

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