Viscous brane cosmology with a brane-bulk energy interchange term

Brevik, Iver; Børven, Jon-Mattis; Ng, S.

doi:10.1007/s10714-006-0271-8

Cited by 32 publications

(21 citation statements)

References 25 publications

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“…We have ourselves dealt earlier with viscous entropy production in the early universe [2], and viscous fluids on the Randall-Sundrum branes [5,6]. Cataldo et al [7] considered viscous dark energy and phantom evolution using Eckhart's theory of irreversible thermodynamics.…”

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confidence: 99%

Casimir effects near the big rip singularity in viscous cosmology

2010

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Analytical properties of the scalar expansion in the cosmic fluid are investigated, especially near the future singularity, when the fluid possesses a constant bulk viscosity ζ . In addition, we assume that there is a Casimir-induced term in the fluid's energy-momentum tensor, in such a way that the Casimir contributions to the energy density and pressure are both proportional to 1/a 4 , a being the scale factor. A series expansion is worked out for the scalar expansion under the condition that the Casimir influence is small. Close to the Big Rip singularity the Casimir term has however to fade away and we obtain the same singular behavior for the scalar expansion, the scale factor, and the energy density, as in the Casimir-free viscous case.

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confidence: 99%

Casimir effects near the big rip singularity in viscous cosmology

2010

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“…Einstein's equations in a coordinate basis with the metric (1) have been given before (cf., for instance, Refs. [11,12,13,14,15,16], but for convenience we give them also here:…”

Section: Basic Formalismmentioning

confidence: 99%

Viscous modified gravity on a RS brane embedded in AdS5

Brevik

2008

Eur. Phys. J. C

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We consider a modified gravity fluid on a Randall-Sundrum II brane situated at y = 0, the action containing a power α of 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.

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“…However, as already pointed out in [36], since the bulk matter is not determined a priori, the ansatz for the coupling term Q (which is precisely the right hand side of the above equation) can be arbitrarily chosen, so far as it is physically acceptable. Several possible ansatz have been considered in [36,37,38,39,40] and the consequences have been investigated. Brane cosmological dynamics of bulk scalar fields have been studied in detail in [20,41,42].…”

Section: Brane Viewpoint With a Radiative Bulkmentioning

confidence: 99%

Braneworld gravitational collapse from a radiative bulk

Pal

2006

Phys. Rev. D

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We study the fate of a collapsing star on the brane in a generalized braneworld gravity with bulk matter. Specifically, we investigate for the possibility of having a static exterior for a collapsing star in the radiative bulk scenario. Here, the nonlocal correction due to bulk matter is manifest in an induced mass that adds up to the physical mass of the star resulting in an effective mass. A Schwarzschild solution for the exterior in terms of this effective mass is obtained, which reveals that even if the star exchanges energy with the bulk, the exterior may appear to be static to a braneworld observer located outside the collapsing region. The possible explanation of the situation from the discussion on the role of bulk matter is provided. The nature of bulk matter and the corresponding bulk geometry have also been obtained and analyzed, which gives a complete picture of both brane and bulk viewpoints.

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Viscous brane cosmology with a brane-bulk energy interchange term

Cited by 32 publications

References 25 publications

Casimir effects near the big rip singularity in viscous cosmology

Casimir effects near the big rip singularity in viscous cosmology

Viscous modified gravity on a RS brane embedded in AdS5

Braneworld gravitational collapse from a radiative bulk

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