Hawking radiation of the brane-localized graviton from a (4 +
                    <i>n</i>
                    )-dimensional black hole

Park, D K

doi:10.1088/0264-9381/23/12/007

Cited by 27 publications

(40 citation statements)

References 36 publications

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“…Same conclusion was derived in the emission on the brane [14]. Thus, it is important in our opinion to re-examine the EHM argument "black holes radiate mainly on the brane" with considering the Hawking radiation for the gravitons.…”

supporting

confidence: 55%

Emissivities for the various graviton modes in the background of the higher-dimensional black hole

Park

2006

Physics Letters B

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The Hawking emissivities for the scalar-, vector-, and tensor-mode bulk gravitons are computed in the full range of the graviton's energy by adopting the analytic continuation numerically when the spacetime background is (4 + n)dimensional non-rotating black hole. The total emissivity for the gravitons is only 5.16% of that for the spin-0 field when there is no extra dimension. However, this ratio factor increases rapidly when the extra dimensions exist. For example, this factor becomes 147.7%, 595.2% and 3496% when the number of extra dimensions is 1, 2 and 6, respectively. This fact indicates that the Hawking radiation for the graviton modes becomes more and more significant and dominant with increasing the number of extra dimensions. * Recent quantum gravity such as string theories [1] or brane-world scenario [2] generallyrequires the extra dimensions to reconcile general relativity with quantum physics. Especially the modern brane-world scenarios predict the emergence of the TeV-scale gravity, which opens the possibility to make tiny black holes by high-energy scattering in the future colliders [3]. In this reason much attention is paid recently to the effect of the extra dimensions in the black hole physics.The absorption problem and Hawking radiation for the spin 0, 1/2 and 1 particles in the background of the (4 + n)-dimensional Schwarzschild black hole were explored in Ref.[4]. The numerical calculation supports the fact that the black holes radiate mainly on the brane. In fact this was pointed out by Emparan, Horowitz and Myers(EHM) in Ref.[5] by making use of the higher-dimensional black body radiation. This claim was also supported in the background of the higher-dimensional charged black hole [6].More recently, this issue was re-examined when the situation is different. If, for example, black hole has a rotation, there is an important factor we should consider carefully called superradiance [7]. The superradiance in the background of the higher-dimensional black hole was examined for the bulk fields [8] and brane fields [9]. However, numerical calculation has shown that in spite of the consideration of the superradiance EHM claim still holds due to the incrediably large difference in the energy amplification for the brane field and bulk field [10].There is an another factor we have not considered thoroughly. This is an Hawking radiation for the higher-spin particles like graviton. Since the graviton is not generally localized on the brane unlike the usual standard model particles, the argument of EHM should be carefully re-checked in the graviton emission. Generalizing the Regge-Wheeler method [11], the various gravitational perturbations were studied in Ref. [12] in the background of the higher-dimensional Schwarzschild black hole. Using the radial equations derived in Ref.[12], the low-energy and high-energy behaviors for the bulk graviton absorption and emission spectra were recently studied [13]. The graviton emission on the brane is also examined using an axial perturbation [14]. In Ref. [14] it ...

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confidence: 55%

Emissivities for the various graviton modes in the background of the higher-dimensional black hole

Park

2006

Physics Letters B

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“…Thus, it seems to be ridiculous to consider the graviton propagating on the brane. We think this bulk-nature of the graviton is a main reason why the radial equations for the axial-and polar-perturbation are not uniquely determined [22,23] when the spacetime is a projected metric (4). Since the purpose of this paper is to check the validity of the EHM argument in the spin-2 field, we will consider the hypothetical spin-2 field whose radial equation is assumed to be obeyed by the master equation as follows.…”

Section: Blmentioning

confidence: 99%

Validity of Emparan–horowitz-Myers Argument in Hawking Radiation Into Massless Spin-2 Fields

Jung

Park

2007

Mod. Phys. Lett. A

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“…Until recently, the Schwarzschild phase along with a variety of additional spherically symmetric black hole backgrounds were the most commonly studied cases. Those studies included the black hole emission of lower-spin degrees of freedom [11][12][13][14][15][16][17][18] as well as gravitons [19][20][21][22], both on the brane and in the bulk.…”

Section: Introductionmentioning

confidence: 99%

Greybody factors for brane scalar fields in a rotating black hole background

et al. 2007

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We study the evaporation of (4 n)-dimensional rotating black holes into scalar degrees of freedom on the brane. We calculate the corresponding absorption probabilities and cross sections obtaining analytic solutions in the low-energy regime and compare the derived analytic expressions to numerical results, with very good agreement. We then consider the high-energy regime, construct an analytic high-energy solution to the scalar-field equation by employing a new method, and calculate the absorption probability and cross section for this energy regime, finding again a very good agreement with the exact numerical results. We also determine the high-energy asymptotic value of the total cross section and compare it to the analytic results derived from the application of the geometrical optics limit.

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Hawking radiation of the brane-localized graviton from a (4 + n )-dimensional black hole

Cited by 27 publications

References 36 publications

Emissivities for the various graviton modes in the background of the higher-dimensional black hole

Emissivities for the various graviton modes in the background of the higher-dimensional black hole

Validity of Emparan–horowitz-Myers Argument in Hawking Radiation Into Massless Spin-2 Fields

Greybody factors for brane scalar fields in a rotating black hole background

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