Bulk Shape of Brane-World Black Holes

“…A class of such a solution has been found by Casadio et al [6,7] using the projected Einstein equations on the brane derived by Shiromizu et al [8]. It has the desired "pancake" horizon structure ensuring a non-singular behavior in the curvature and Kretschmann scalars at least until the order of the multipole expansion considered there.…”

Section: Introductionmentioning

confidence: 99%

Stability and thermodynamics of brane black holes

et al. 2006

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“…The procedure can be generalized to solid objects such as planets. A method to extend into the bulk asymptotically flat static spherically symmetric brane-world metrics has been proposed by Casadio and Mazzacurati [13]. The exact integration of the field equations along the fifth coordinate was done by using the multipole (1/r) expansion.…”

Section: Introductionmentioning

confidence: 99%

Vacuum solutions of the gravitational field equations in the brane world model

2004

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We consider some classes of solutions of the static, spherically symmetric gravitational field equations in the vacuum in the brane world scenario, in which our Universe is a three-brane embedded in a higher dimensional space-time. The vacuum field equations on the brane are reduced to a system of two ordinary differential equations, which describe all the geometric properties of the vacuum as functions of the dark pressure and dark radiation terms (the projections of the Weyl curvature of the bulk, generating non-local brane stresses). Several classes of exact solutions of the vacuum gravitational field equations on the brane are derived. In the particular case of a vanishing dark pressure the integration of the field equations can be reduced to the integration of an Abel type equation. A perturbative procedure, based on the iterative solution of an integral equation, is also developed for this case. Brane vacuums with particular symmetries are investigated by using Lie group techniques. In the case of a static vacuum brane admitting a one-parameter group of conformal motions the exact solution of the field equations can be found, with the functional form of the dark radiation and pressure terms uniquely fixed by the symmetry. The requirement of the invariance of the field equations with respect to the quasi-homologous group of transformations also imposes a unique, linear proportionality relation between the dark energy and dark pressure. A homology theorem for the static, spherically symmetric gravitational field equations in the vacuum on the brane is also proven.

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“…The on-brane boundary may also be used to determine the full, five-dimensional, space-time geometry and this procedure can be generalized to solid objects such as planets. A method to extend asymptotically flat, static, spherically-symmetric brane world metrics into the bulk was proposed by Casadio and Mazzacurati [81], where the exact integration of the field equations along the fourth spatial coordinate was done by using the multipole (1/r) expansion. These results suggest that the shape of the horizon for brane black holes is very likely to be a flat "pancake" for astrophysical sources.…”

Section: Introductionmentioning

confidence: 99%

Null fluid collapse in brane world models

Harkó

Lake

2014

Phys. Rev. D

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The brane world description of our universe entails a large extra dimension and a fundamental scale of gravity that may be lower than the Planck scale by several orders of magnitude. An interesting consequence of this scenario occurs in the nature of spherically-symmetric vacuum solutions to the brane gravitational field equations, which often have properties quite distinct from the standard black hole solutions of general relativity. In this paper, the spherically-symmetric collapse on the brane world of four types of null fluid, governed by the barotropic, polytropic, strange quark "bag" model and Hagedorn equations of state, is investigated. In each case, we solve the approximate gravitational field equations, obtained in the high density limit, determine the equation which governs the formation of apparent horizons and investigate the conditions for the formation of naked singularities. Though, naively, one would expect the increased effective energy density on the brane to favor the formation of black holes over naked singularities, we find that, for the types of fluid considered, this is not the case. However, the black hole solutions differ substantially from their general-relativistic counterparts and brane world corrections often play a role analogous to charge in general relativity. As an astrophysical application of this work, the possibility that energy emission from a Hagedorn fluid collapsing to form a naked singularity may be a source of GRBs in the brane world is also considered.

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Bulk Shape of Brane-World Black Holes

Cited by 92 publications

References 13 publications

Stability and thermodynamics of brane black holes

Stability and thermodynamics of brane black holes

Vacuum solutions of the gravitational field equations in the brane world model

Null fluid collapse in brane world models

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