Black hole evaporation and compact extra dimensions

Casadio, Roberto; Harms, B.

doi:10.1103/physrevd.64.024016

Cited by 59 publications

(82 citation statements)

References 44 publications

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“…For one toroidally compactified extra dimension, two possible phases are a black string wrapping the compactified extra dimension, and a 5-dimensional black hole smaller than the extra dimension. A topological phase transition from the black string to the black hole is of first order [24,25,26], and results in a significant release of energy equivalent to a substantial increase in the luminosity of Hawking radiation [27].…”

Section: Exploding Primordial Black Holes and The Tev Scalementioning

confidence: 99%

Transient pulses from exploding primordial black holes as a signature of an extra dimension

Kavic

Simonetti

Cutchin

et al. 2008

J. Cosmol. Astropart. Phys.

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An evaporating black hole in the presence of an extra spatial dimension would undergo an explosive phase of evaporation. We show that such an event, involving a primordial black hole, can produce a detectable, distinguishable electromagnetic pulse, signaling the existence of an extra dimension of size L ∼ 10 −18 − 10 −20 m. We derive a generic relationship between the Lorentz factor of a pulse-producing "fireball" and the TeV energy scale. For an ordinary toroidally compactified extra dimension, transient radio-pulse searches probe the electroweak energy scale (∼0.1 TeV), enabling comparison with the Large Hadron Collider.

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Section: Exploding Primordial Black Holes and The Tev Scalementioning

confidence: 99%

Transient pulses from exploding primordial black holes as a signature of an extra dimension

Kavic

Simonetti

Cutchin

et al. 2008

J. Cosmol. Astropart. Phys.

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“…In the present letter we investigate spherically symmetric solutions to Eqs. (2) with D = 4 of the formwith dΩ 2 = dθ 2 + sin 2 θ dφ 2 , which might represent black holes in the brane-world [5][6][7][8][9]. First of all, let us recall that the Schwarzschild four-dimensional metric (3) with 4) and N = 1 − 2 M/r is ruled out as a physical candidate since its unique propagation in the bulk is a black string with the central singularity extending all along the extra dimension and making the AdS horizon singular [5].…”

mentioning

confidence: 99%

New black holes in the brane world?

2002

Self Cite

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It is known that the Einstein field equations in five dimensions admit more general spherically symmetric black holes on the brane than four-dimensional general relativity. We propose two families of analytic solutions (with gtt = −g −1 rr ), parameterized by the ADM mass and the PPN parameter β, which reduce to Schwarzschild for β = 1. Agreement with observations requires |β − 1| ∼ |η| 1. The sign of η plays a key role in the global causal structure, separating metrics which behave like Schwarzschild (η < 0) from those similar to Reissner-Nordström (η > 0). In the latter case, we find a family of black hole space-times completely regular. 04.70.Bw, 04.50.+h In recent years there has been a renewed interest in models with extra dimensions in which the standard model fields are confined to our four-dimensional world viewed as a (infinitely thin) hypersurface (the brane) embedded in the higher-dimensional space-time (the bulk) where (only) gravity can propagate. Of particular interest are cases where the extra dimensions are infinitely extended but "warped" by the presence of a non-vanishing bulk cosmological constant Λ related to the (singular) vacuum energy density of the brane [1,2] by the standard junction equations [3].In D + 1 space-time dimensions a vacuum solution must satisfy (µ, ν = 0, . . . , D)On projecting the above equation on a time-like manifold of codimension one (the brane) and introducing Gaussian normal coordinates x i (i = 0, . . . , D − 1) and z (z = 0 on the brane), one obtains the constraints (at z = 0)where R is the D-dimensional Ricci scalar, λ the cosmological constant on the brane (we shall set λ = 0 from now on, equivalently to the fine tuning between Λ and the brane tension [1]) and use has been made of the necessary junction equations [3]. For static solutions, one can view Eqs. (2) as the analogs of the momentum and Hamiltonian constraints in the ADM decomposition of the metric and their role is therefore to select out admissible field configurations along hypersurfaces of constant z. Such field configurations will then be "propagated" off-brane by the remaining Einstein Eqs.(1). It is clear that the above "Hamiltonian" constraint is a weaker requirement than the purely D-dimensional vacuum equations R ij = 0 and, in fact, it is equivalent to R ij = E ij where E ij is (proportional to) the (traceless) projection of the D + 1-dimensional Weyl tensor on the brane [4]. In the present letter we investigate spherically symmetric solutions to Eqs. (2) with D = 4 of the formwith dΩ 2 = dθ 2 + sin 2 θ dφ 2 , which might represent black holes in the brane-world [5][6][7][8][9]. First of all, let us recall that the Schwarzschild four-dimensional metric (3) with 4) and N = 1 − 2 M/r is ruled out as a physical candidate since its unique propagation in the bulk is a black string with the central singularity extending all along the extra dimension and making the AdS horizon singular [5]. Further, this case is also unstable under linear perturbations [10]. A few different cases have been recen...

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“…The total number of black holes depends only weakly on d and is of order 10 9 per year, that is ≈ 30 black holes per second [12]! The produced black holes will undergo evaporation which is more a decay because of their high temperature [13]. Unfortunately, the precise description of this process falls into the regime of quantum gravity and is unknown, the main question being whether the black hole evaporates completely or whether a stable relic is left [14].…”

Section: Black Holesmentioning

confidence: 99%

Signatures of Large Extra Dimensions

Hossenfelder

Bleicher

Stöcker

2004

Structure and Dynamics of Elementary Matter

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String theory suggests modifications of our spacetime such as extra dimensions and the existence of a mininal length scale. In models with addidional dimensions, the Planck scale can be lowered to values accessible by future colliders. Effective theories which extend beyond the standart-model by including extra dimensions and a minimal length allow computation of observables and can be used to make testable predictions. Expected effects that arise within these models are the production of gravitons and black holes. Furthermore, the Plancklength is a lower bound to the possible resolution of spacetime which might be reached soon. This is a summary of a talk given at the NATO Advanced Study Institute in Kemer, Turkey, Oct. 2003. IntroductionThe standard model (SM) of particle physics yields an extremely precise theory for the electroweak and strong interaction. It allowed us to improve our view of nature in many ways but leaves us with several unsolved problems. E.g. we still have to understand the large number of free parameters in the SM, the question of the fermion families, the mechanism of electroweak symmetry breaking, CP violation, and of course the puzzle of quantum gravity.Gravity, if it is quantized as a spin-2 field in the canonical way, is nonrenormizable. The only reason why the SM yields such high accuracy without concerning gravity is that gravity is much weaker than the other interactions. The effects of quantum gravity get as important as the effects of the SM only at the so-called Planck-scale which is reached at energies near the Planck-mass of m p ≈ 10 16 TeV or at distances near the Planck-length l p ≈ 10 −20 fm, resp. This comparable weakness of the gravitational interaction, also known als the "hierarchy-problem", is another yet unexplained fact which singles out gravity and has to be understood for achieving a successful unifying theory.

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Black hole evaporation and compact extra dimensions

Cited by 59 publications

References 44 publications

Transient pulses from exploding primordial black holes as a signature of an extra dimension

Transient pulses from exploding primordial black holes as a signature of an extra dimension

New black holes in the brane world?

Signatures of Large Extra Dimensions

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