Dark radiation dynamics on the brane

Using a confining potential, we consider spherically symmetric vacuum (static black hole) solutions in a brane-world scenario. Working with a constant curvature bulk, two interesting cases/solutions are studied. A Schwarzschild-de Sitter black hole solution similar to the standard solution in the presence of a cosmological constant is obtained which confirms the idea that an extra term in the field equations on the brane can play the role of a positive cosmological constant and may be used to account for the accelerated expansion of the universe. The other solution is one in which we can have a proper potential to explain the galaxy rotation curves without assuming the existence of dark matter and without working with new modified theories (modified Newtonian dynamics).

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“…Finally, the "gravi-scalar equation" is obtained from the contraction of (15), (23) and using equation (18) …”

Section: Geometrical Considerationsmentioning

confidence: 99%

Brane-world black hole solutions via a confining potential

2007

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“…The two single exceptions are the models corresponding to η = −1 and η = 1/2. For η = −1 we find the standard dark radiation horizons [41,44]. For η = 1/2 the horizons are given by…”

Section: Static Limitsmentioning

confidence: 90%

“…Nevertheless it will mimic a 4-dimensional cosmological constant on the brane. Thus only for standard dark radiation [31,44] with η = −1 and Λ = 0, is the fifth dimensional pressure p z equal to zero. Furthermore, the trace of the stress-energy tensor is…”

Section: Generalized Dark Radiation Dynamics On the Branementioning

confidence: 99%

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Brane world dynamics and conformal bulk fields

Neves

Vaz

2003

Phys. Rev. D

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In the Randall-Sundrum scenario we investigate the dynamics of a spherically symmetric 3-brane world when matter fields are present in the bulk. To analyze the 5-dimensional Einstein equations we employ a global conformal transformation whose factor characterizes the Z 2 symmetric warp. We find a new set of exact dynamical collapse solutions which localize gravity in the vicinity of the brane for a stress-energy tensor of conformal weight -4 and a warp factor that depends only on the coordinate of the fifth dimension. Geometries which describe the dynamics of inhomogeneous dust and generalized dark radiation on the brane are shown to belong to this set. The conditions for singular or globally regular behavior and the static marginally bound limits are discussed for these examples. Also explicitly demonstrated is complete consistency with the effective point of view of a 4-dimensional observer who is confined to the brane and makes the same assumptions about the bulk degrees of freedom.

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“…In this proceedings we analyse some aspects of the inhomogeneous dynamics of a RS brane world vaccum [see [8] for more details].…”

Section: Introductionmentioning

confidence: 99%

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Neves

Vaz

2003

Astrophysics and Space Science

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Assuming spherical symmetry we analyse the dynamics of an inhomogeneous dark radiation vaccum on a Randall and Sundrum 3-brane world. Under certain natural conditions we show that the effective Einstein equations on the brane form a closed system. On a de Sitter brane and for negative dark energy density we determine exact dynamical and inhomogeneous solutions which depend on the brane cosmological constant, on the dark radiation tidal charge and on its initial configuration. We also identify the conditions leading to the formation of a singularity or of regular bounces inside the dark radiation vaccum.

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Dark radiation dynamics on the brane

Cited by 23 publications

References 93 publications

Brane-world black hole solutions via a confining potential

Brane-world black hole solutions via a confining potential

Brane world dynamics and conformal bulk fields

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