Dimension of quantum channel of radiation in pure Lovelock black holes

Mirza, Behrouz; Oboudiat, Fatemeh; Zare, Somayeh

doi:10.1007/s10714-013-1652-4

Cited by 8 publications

(12 citation statements)

References 40 publications

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“…The strong inequality (12) implies, in particular, that, in the large-D limit, the black-hole emitted quanta are practically unaffected by the curvature potential. Thus, one concludes that, in the large D 1 limit, the evaporating black holes behave as D-dimensional perfect black-body emitters (formally, this last conclusion is exact in the D → ∞ limit), in which case the emission power is given by the geometric-optics (short wavelengths) approximation [10]:…”

Section: Quantum Evaporation Of Higher-dimensional Schwarzschild Blacmentioning

confidence: 99%

“…After this paper was completed, I have been informed that Mirza, Oboudiat, and Zare [12] have also studied the entropy emission rate of higher-dimensional black holes. It is worth emphasizing that the analysis presented in [12] incorrectly assumes that the radiating area of a D-dimensional Schwarzschild black hole is given by its surface area A H = [2π D/2 / (D/2)]r D−1 H .…”

Section: Note Addedmentioning

confidence: 99%

“…It is worth emphasizing that the analysis presented in [12] incorrectly assumes that the radiating area of a D-dimensional Schwarzschild black hole is given by its surface area A H = [2π D/2 / (D/2)]r D−1 H . However, as shown in [10], the correct effective radiating area in the large-D regime is given by the black-hole absorption cross-…”

Section: Note Addedmentioning

confidence: 99%

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Do all D-dimensional Schwarzschild black holes behave as one-dimensional entropy emitters?

Hod

2015

Physics Letters B

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Perfect black-body emitters in a flat three-dimensional space are characterized by the well-known relation Ṡ 3D flat = (32π 2 A P 3 /1215h 3 ) 1/4 , where Ṡ 3D flat and P are respectively the entropy and energy emission rates out of the 3-D hot body, and A is the 2-D surface area of the emitting body. However, Bekenstein and Mayo have pointed out that three-dimensional Schwarzschild black holes are characterized by a qualitatively different relation:BH is a numerically computed proportionality coefficient. Thus, in their entropy emission properties, these three-dimensional black holes effectively behave as one-dimensional entropy emitters: in particular, they respect Pendry's upper bound Ṡ 1D flat = C 1D flat × (P /h) 1/2 on the entropy emission rate out of one-dimensional flat-space thermal bodies, where C 1D flat = (π /3) 1/2 . One naturally wonders whether this intriguing property of the three-dimensional black holes is a generic feature of all D-dimensional Schwarzschild black holes? In this paper we shall show that the answer to this question (and to the question raised in the title) is 'Yes and No'. 'Yes', because we shall prove that all D-dimensional Schwarzschild black holes are characterized by the one-dimensional functional relation Ṡ D BH = C D BH × (P /h) 1/2 . 'No', because we shall show that, in the large-D limit, the analytically calculated coefficients C D BH are larger than C 1D flat = (π /3) 1/2 , implying that higher-dimensional black holes may violate Pendry's upper bound on the entropy emission rate of one-dimensional physical systems.

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Section: Quantum Evaporation Of Higher-dimensional Schwarzschild Blacmentioning

confidence: 99%

Section: Note Addedmentioning

confidence: 99%

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Do all D-dimensional Schwarzschild black holes behave as one-dimensional entropy emitters?

Hod

2015

Physics Letters B

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“…We introduce particle model to a rather interesting area of modified theory of gravity which is called pure Lovelock gravity (pLG). This terminology was used for the first time by Kastor and Mann [1] and has been developed by Cai, et al [2,3], Dadhich, et al [4][5][6][7][8][9][10][11][12][13] and others [14][15][16][17][18]. We recall from the original Lovelock theory that the action of the n + 1−dimensional n 2 -order Lovelock gravity is given by [19]…”

Section: Introductionmentioning

confidence: 99%

Higher Dimensional Particle Model in Pure Lovelock Gravity

Forghani¹,

Mazharimousavi²,

Halilsoy³

2020

Preprint

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In this paper, based on the thin-shell formalism, we introduce a classical model for particles in the framework of n + 1−dimensional n 2 -order pure Lovelock gravity (pLG). In particular we construct a sphericlally symmetric particle of radius a whose inside is a flat minkowski spacetime while its outside is charged pLG solution. Knowing that in n+1−dimensional spherically symmetric Einstein gravity (R-gravity) such a particle model cannot be constructed, provides the main motivation for this study.

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“…Moreover, the analysis is completely new, which once again tells that gravitational anomalies have a leading role to play in the thermodynamics of black holes. Let me finish mentioning existing work [35] which discussed a similar topic for the arbitrary D space dimensional Schwarzschild black hole and the black hole in Lovelock gravity. It was found that the dependence ofṠ on P is not like the Pendry for Lovelock case, which, as pointed out in [3], is due to an improper choice of the radiating area.…”

mentioning

confidence: 99%

Gravitational anomalies and one-dimensional behavior of black holes

Majhi

2015

Eur. Phys. J. C

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It has been pointed out by Bekenstein and Mayo that the behavior of the black hole's entropy or information flow is similar to information flow through one-dimensional channel. Here I analyze the same issue with the use of gravitational anomalies. The rate of the entropy change (Ṡ) and the power (P) of the Hawking emission are calculated from the relevant components of the anomalous stress tensor under the Unruh vacuum condition. I show that the dependence oḟ S on the power isṠ ∝ P 1/2 , which is identical to that for the information flow in a one-dimensional system. This is established by using the (1 + 1)-dimensional gravitational anomalies first. Then the fact is further bolstered by considering the (1 + 3)-dimensional gravitational anomalies. It is found that, in the former case, the proportionality constant is exactly identical to the one-dimensional situation, known as Pendry's formula, while in the latter situation its value decreases.The fact that the black hole has one-dimensional nature as long as the entropy flow is concerned has already been broadcast by Bekenstein and Mayo [1]. This is a complementary statement to the "holographic principle" [2]. The idea was to calculate the rate of entropy change for the emission spectrum from the horizon. In this approach the entropy current was defined by the entropy density multiplied by the group velocity of the emitted particle. It turns out that the rate of entropy flow is proportional to the square root of the energy current or power of the emitted spectrum. The same nature also occurs for an one-dimensional system, except the proportionality constant is different. In this analysis the spacetime was taken to be the (1 + 3)-dimensional Schwarzschild black hole. Recently, the analysis has been extended to arbitrary D-dimensional Schwarzschild spacetime [3] and the conclusion is the same, except that the proportionality constant now depends on the dimension of the spacetime. a e-mail: bibhas.majhi@iitg.ernet.inIn this letter, the one-dimensional behavior of the black hole will be explored in the context of gravitational anomalies. The roles of anomalies have already been explored in different contexts of gravitational physics. It has already been observed that the gravitational anomalies can explain the Hawking effect [4][5][6][7][8][9]. The correct expression for the Hawking flux was derived from the anomalous stress tensor with a suitable choice of the boundary condition (see for details [8]). Recently, the modifications to the constitutive relations for a fluid were found in the presence of anomalies [10][11][12][13]. But so far, no one discussed any connection between the gravitational anomalies and the one-dimensional behavior of the black holes. Here I shall precisely address this issue. I shall show that the existence of anomalies at the quantum level can explain this precise property of the emission from the horizon.The organization of the letter is as follows. We shall begin our discussion with the near horizon effective theory which is (1 + ...

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Dimension of quantum channel of radiation in pure Lovelock black holes

Cited by 8 publications

References 40 publications

Do all D-dimensional Schwarzschild black holes behave as one-dimensional entropy emitters?

Do all D-dimensional Schwarzschild black holes behave as one-dimensional entropy emitters?

Higher Dimensional Particle Model in Pure Lovelock Gravity

Gravitational anomalies and one-dimensional behavior of black holes

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