2020
DOI: 10.1140/epjc/s10052-020-7613-7
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The Hawking effect and the bounds on greybody factor for higher dimensional Schwarzschild black holes

Abstract: In this work, we have considered a n−dimensional Schwarzschild-Tangherlini black hole spacetime with massless minimally coupled free scalar fields in its bulk and 3−brane. The bulk scalar field equation is separable using the higher dimensional spherical harmonics on (n − 2)−sphere. First, using the Hamiltonian formulation with the help of the recently introduced near-null coordinates we have obtained the expected temperature of the Hawking effect, identical for both bulk and brane localized scalar fields. Sec… Show more

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Cited by 18 publications
(8 citation statements)
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References 117 publications
(163 reference statements)
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“…Although we focus on black hole thermodynamics in General Relativity, our analysis can also be adapted for black holes in alternative theories. In particular, the Hawking radiation increases significantly for black holes in higher-dimensional theories [39][40][41], while it may not follow the usual Stefan-Boltzmann law [42][43][44]. Our analysis may lead to meaningful constraints higher-dimensional theories and provide a more thorough test of black-hole thermodynamics.…”
Section: Discussionmentioning
confidence: 84%
“…Although we focus on black hole thermodynamics in General Relativity, our analysis can also be adapted for black holes in alternative theories. In particular, the Hawking radiation increases significantly for black holes in higher-dimensional theories [39][40][41], while it may not follow the usual Stefan-Boltzmann law [42][43][44]. Our analysis may lead to meaningful constraints higher-dimensional theories and provide a more thorough test of black-hole thermodynamics.…”
Section: Discussionmentioning
confidence: 84%
“…In the original work [17], the thermal nature of the Hawking effect is realized through the usage of Bogoliubov transformation between the ingoing and outgoing field modes described in terms of the null coordinates. The Hawking effect can be realized through other various means, like using tunnelling formalism [54][55][56][57][58][59][60], path integral approach [61], conformal symmetry [62], via anomalies [63][64][65], canonical formulation [66][67][68][69], and as an effect of near horizon local instability [70][71][72]. However, the conclusion remains the same, i.e., an asymptotic observer will perceive the BH horizon with some temperature proportional to its surface gravity.…”
Section: Hawking Effect In Radially Deformed Spacetimementioning
confidence: 99%
“…In the original work [17], the thermal nature of the Hawking effect is realized through the usage of Bogoliubov transformation between the ingoing and outgoing field modes described in terms of the null coordinates. The Hawking effect can be realized through other various means, like using tunnelling formalism [49][50][51][52][53][54][55], path integral approach [56], conformal symmetry [57], via anomalies [58][59][60], canonical formulation [61][62][63][64], and as an effect of near horizon local instability [65][66][67]. However, the conclusion remains the same, i.e., an asymptotic observer will perceive the BH horizon with some temperature proportional to its surface gravity.…”
Section: Hawking Effect In Radially Deformed Spacetimementioning
confidence: 99%