Tunnelling Methods and Hawking's radiation: achievements and prospects

Vanzo, L.; Acquaviva, G.; Di Criscienzo, R.

doi:10.48550/arxiv.1106.4153

Cited by 26 publications

(53 citation statements)

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“…Using the Hamilton-Jacobi tunnelling method for the extremal Reissner-Nordstrm (RN) black hole, one can sees that the Hawking radiation is different zero (T H = h 4πM ) in the charged case, but the Hawking radiation vanish in the neutral case. As shown in this study, the rotating extremal black holes have Hawking radiation as in the charged extremal black holes [54,55].…”

Section: Discussionmentioning

confidence: 57%

“…The common idea in the literature is that the Hawking temperature of an extremal black hole vanishes because the surface gravity is zero according to the classical method. However, extremal black holes make radiation when they have charge [54,55]. On the other hand, the third law of black-hole dynamics, the analogy between the thermodynamics and the Black hole dynamics laws, point out that the surface gravity of a black hole can not reach to zero [53].…”

Section: Tunnelling Of Dirac Particles From the Warped-ads 3 Black Holementioning

confidence: 99%

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Hawking Radiation of Topological Massive Warped-AdS3 Black Hole Families

Gecim,

Sucu

2014

Preprint

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We investigate the Dirac particles tunnelling as a radiation of Warped AdS 3 black hole family in Topological Massive Gravity. Using the Hamilton-Jacobi method, we discuss tunnelling probability and Hawking temperature of the spin-1/2 particles for the black hole and its extremal cases. We observe that the Hawking temperature of the non-extremal black hole higher than the extremal black hole when ω < 2 r0 3 , because the non-extremal black hole become unstable in this case.

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Section: Discussionmentioning

confidence: 57%

Section: Tunnelling Of Dirac Particles From the Warped-ads 3 Black Holementioning

confidence: 99%

Hawking Radiation of Topological Massive Warped-AdS3 Black Hole Families

Gecim,

Sucu

2014

Preprint

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“…In spite of some conceptual issues [24,38], the null geodesic tunnelling method has captured some essential features of the Hawking radiation, and can still be used to derive the black hole temperature. For recent applications, see [31,32,39,40].…”

Section: Hamilton-jacobi Methods In Fractional Framementioning

confidence: 99%

“…In this research, we investigate the possible multi-fractional effects on the well-known tunnelling approach to Hawking radiation [23,24]. As an elementary step, we concentrate on the Schwarzschild black hole in multi-fractional theory with q-derivatives [21].…”

Section: Introductionmentioning

confidence: 99%

Hawking radiation of a multi-fractional Schwarzschild black hole

Huang¹,

Yuan²

2020

Preprint

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Following the initial work of Calcagni et al. on the black holes in multi-fractional theories, we focus on the Schwarzschild black hole in multi-fractional theory with q-derivatives. After presenting its Hawking and Hayward temperatures in detail, we verify these results by appealing to the wellknown Hamilton-Jacobi and null geodesic methods of the tunnelling approach to Hawking radiation.A special emphasis is placed on the difference between the geometric and fractional frames.

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“…One encounters one of such cases while dealing with an extremal black hole. In this regard, it is known that the extremal black holes do not Hawking radiate, which is noticed by taking the extremal limit from the nonextremal case and also using procedures like the tunneling formulation, Euclidean path integral formalism [2][3][4][5][6][7][8][9][10]. However, in the Bogoliubov transformation method, starting from an extremal black hole, the coefficients do not satisfy the necessary consistency condition emerging from the commutator of the ladder operators of the field modes [11].…”

Section: Introductionmentioning

confidence: 99%

Hawking effect in an extremal Kerr black hole spacetime

Ghosh,

Barman

2021

Preprint

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It is well known that extremal black holes do not Hawking radiate, which is usually realized by taking an extremal limit from the nonextremal case. However, one cannot perceive the same phenomenon using the Bogoliubov transformation method starting from an extremal black hole itself, i.e., without the limiting case consideration. In that case, the Bogoliubov coefficients do not satisfy the required normalization condition. In canonical formulation, which closely mimics the Bogoliubov transformation method, one can consistently reproduce the vanishing number density of Hawking quanta for an extremal Kerr black hole. In this method, the relation between the spatial near-null coordinates, imperative in understanding the Hawking effect, was approximated into a sum of linear and inverse terms only. In the present work, we first show that one can reach the same conclusion in canonical formulation even with the complete relationship between the nearnull coordinates, which contains an additional logarithmic term. It is worth mentioning that in the nonextremal case, a similar logarithmic term alone leads to the thermal Hawking radiation. Secondly, we study the case with only the inverse term in the relation to understand whether it is the main contributing term in vanishing number density. Third, for a qualitative realization, we consider a simple thought experiment to understand the corresponding Hawking temperature and conclude that the inverse term indeed plays a crucial role in the vanishing number density.

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Tunnelling Methods and Hawking's radiation: achievements and prospects

Cited by 26 publications

References 0 publications

Hawking Radiation of Topological Massive Warped-AdS3 Black Hole Families

Hawking Radiation of Topological Massive Warped-AdS3 Black Hole Families

Hawking radiation of a multi-fractional Schwarzschild black hole

Hawking effect in an extremal Kerr black hole spacetime

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