Greybody factors for Myers–Perry black holes

Boonserm, Petarpa; Chatrabhuti, Auttakit; Ngampitipan, Tritos; Visser, Matt

doi:10.1063/1.4901127

Cited by 43 publications

(26 citation statements)

References 44 publications

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“…However, in this work we have inferred this entirely from the consideration of the bounds on the greybody factor. Most of the calculations related to these bounds can be analytically performed and they are valid in the entire frequency regime of the Hawking spectra for all values of the angular momentum quantum number l. We want to mention that one can also calculate these bounds on the greybody factor explicitly for the higher dimensional rotating black holes [42,71,72] and study the corresponding dependence on the spacetime dimensionality.…”

Section: Discussionmentioning

confidence: 99%

“…Otherwise, one can take numerical approaches to estimate these greybody factors [18,[27][28][29][30][31][32][33]. On the other hand one can also evaluate the bounds on these greybody factors [34][35][36], which have the advantages of providing analytical results even for intermediate frequency regimes and for all angular momentums [37][38][39][40][41][42][43]. We are going to estimate this bound on the greybody factor for scalar fields both in the bulk and in 3−brane of the Schwarzschild-Tangherlini black hole spacetime.…”

Section: Introductionmentioning

confidence: 99%

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The Hawking effect and the bounds on greybody factor for higher dimensional Schwarzschild black holes

Barman

2020

Eur. Phys. J. C

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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. Second, it is known that the spectrum of the Hawking effect as seen at asymptotic future does not correspond to a perfect black body and it is properly represented by a greybody distribution. We have calculated the bounds on this greybody factor for the scalar field in both bulk and 3−brane. Furthermore, we have shown that these bounds predict a decrease in the greybody factor as the spacetime dimensionality n increases and suggest that for a large number of extra dimensions the Hawking quanta is mostly emitted in the brane.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

The Hawking effect and the bounds on greybody factor for higher dimensional Schwarzschild black holes

Barman

2020

Eur. Phys. J. C

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“…Creek et al [21,22] studied the scalar emission rate for rotating BH and derived both numerical as well as analytical solutions for the greybody factor. Boonserm et al [23] computed some rigorous bounds on the greybody factors associated with scalar field excitations for the Myers-Perry BH. Jorge et al [24] explored the greybody factors in low frequency regime for higher dimensional rotating BHs with the cosmological constant being zero, positive or negative.…”

Section: Introductionmentioning

confidence: 99%

Greybody factor for a rotating Bardeen black hole

Sharif

Ama-Tul-Mughani

2019

Eur. Phys. J. Plus

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In this paper, we formulate an analytical expression of greybody factor in the context of rotating Bardeen black hole which is valid in low energy and low angular momentum region. Primarily, we analyze the profile of effective potential which originates the absorption probability. We then derive two asymptotic solutions by solving the radial part of Klein-Gordon equation in two different regions, namely, black hole and far-field horizons. We match these solutions smoothly to an intermediate regime to extend our results over the whole radial coordinate. In order to elaborate the significance of analytical solution, we compute the energy emission rate and absorption cross-section for the massless scalar field. It is found that the rotation parameter increases the emission rate of scalar field particles while the orbital angular momentum minimizes the emission process.

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“…These bounds were first developed in [9]. Their further developments can be found in [10]- [13] and their applications can be found in [14]- [19]. For the radial Teukolsky equation in (9), the rigorous bounds on the greybody factors are given by …”

Section: Rigorous Bounds On Greybody Factorsmentioning

confidence: 99%

Rigorous Bounds on Greybody Factors: Scalar Emission of Negative Angular Momentum Modes from Myers-Perry Black Holes

Ngampitipan¹

2016

IJET

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Abstract-When taking into account the quantum effects, a black hole can emit the so-called Hawking radiation. This Hawking radiation propagates in a curved spacetime due to the presence of a black hole. In this paper, the Myers-Perry black hole is considered, which is an uncharged, rotating black hole occurring in higher dimensions. Scalar Hawking radiation emitted from the Myers-Perry black hole is studied. The rigorous bounds on the greybody factors for massless scalar field of negative-angular-momentum modes are also derived.Index Terms-Greybody factor, hawking radiation, myers-perry black hole, rigorous bound. I. INTRODUCTIONThe existence of black holes has been predicted by Einstein's general theory of relativity. The first solutions of the Einstein's field equation were discovered by Karl Schwarzschild. His solutions predicted the presence of Schwarzschild black holes, which are the uncharged, non-rotating black holes. The second type of black hole was obtained by solving the Einstein's field equation in conjunction with Maxwell's equation. This was done by Hans Reissner and Gunnar Nordstrom . Their solutions represented the Reissner-Nordstrom black holes, which are the charged, non-rotating black holes. The third set of solutions of the Einstein's field equation was discovered by Roy Kerr [1]. His solutions described the Kerr black holes, which are the uncharged, rotating black holes. The Kerr solutions were generalized to higher dimensions by Myers and Perry [2], [3]. Their results led to the prediction of Myers-Perry black holes, which are the uncharged, rotating black holes in higher dimensions.When studying the quantum effects of black holes, Stephen Hawking showed that black holes can emit thermal radiation which became known as Hawking radiation [4]. The curvature of spacetime due to the presence of a black hole acts as the gravitational potential barrier. one-dimensional scattering problem in quantum mechanics. The term 'greybody factor' can be defined as the transmission probability.In this paper, the rigorous bounds on the greybody factors for massless scalar field of negative-angular-momentum modes emitted from a Myers-Perry black hole will be derived. II. MYERS-PERRY SPACETIMEThe Myers-Perry spacetime can be described by the metric Here 2 n d is the metric on the unit n-sphere n S which is given byThe solutions of ( ) 0 r  provide the location of the black hole event horizons. In this paper, we focus on massless scalar field emitted from the Myers-Perry black hole. The equation of motion of this scalar field can be described by the Klein-Gordon equationwhere Engineering and Technology, Vol. 8, No. 4, August 2016 sin cos sin sin cos sinwhile the hyper-spherical harmonics satisfywhere  n S is the Laplacian. Then, the radial Teukolskywhere the tortoise coordinate * r is defined byThe relationship between the tortoise coordinate and the ordinary coordinate is plotted as shown in Fig. 1. where 2 2 a raThis Teukolsky potential can be expressed in another form as The potentialVr is plotted as...

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Greybody factors for Myers–Perry black holes

Cited by 43 publications

References 44 publications

The Hawking effect and the bounds on greybody factor for higher dimensional Schwarzschild black holes

The Hawking effect and the bounds on greybody factor for higher dimensional Schwarzschild black holes

Greybody factor for a rotating Bardeen black hole

Rigorous Bounds on Greybody Factors: Scalar Emission of Negative Angular Momentum Modes from Myers-Perry Black Holes

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