Hawking radiation in different coordinate settings: complex paths approach

Shankaranarayanan, S.; Padmanabhan, Τ.; Srinivasan, Karthik K.

doi:10.1088/0264-9381/19/10/310

Cited by 304 publications

(234 citation statements)

References 22 publications

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“…with the surface gravity (31). Therefore the proper distance method gives the same result as the Rindler coordinate.…”

Section: Connection With Other Coordinatesmentioning

confidence: 95%

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Hawking radiation as quantum tunneling in Rindler coordinate

Kim

2007

J. High Energy Phys.

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We substantiate the Hawking radiation as quantum tunneling of fields or particles crossing the horizon by using the Rindler coordinate. The thermal spectrum detected by an accelerated particle is interpreted as quantum tunneling in the Rindler spacetime. Representing the spacetime near the horizon locally as a Rindler spacetime, we find the emission rate by tunneling, which is expressed as a contour integral and gives the correct Boltzmann factor. We apply the method to non-extremal black holes such as a Schwarzschild black hole, a non-extremal Reissner-Nordström black hole, a charged Kerr black hole, de Sitter space, and a Schwarzschild-anti de Sitter black hole.

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“…with the surface gravity (31). Therefore the proper distance method gives the same result as the Rindler coordinate.…”

Section: Connection With Other Coordinatesmentioning

confidence: 95%

“…[29], the ratio of emission to absorption was used to get the correct Boltzmann factor. Also the isotropic coordinate and the proper distance from the horizon was used [35], [36], and different coordinates were tested [31]. In refs.…”

Section: Introductionmentioning

confidence: 99%

Hawking radiation as quantum tunneling in Rindler coordinate

Kim

2007

J. High Energy Phys.

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“…The authors [1,2] derived the Hawking temperatures for the Vaidya black hole and the Reissner-NordstromVaidya black hole by two different methods, the radial null method [3] and the complex path method [4,5]. In the radial null method, the Hawking temperature is defined to be proportional to the inverse of the imaginary part of the outgoing particle's action.…”

Section: Introductionmentioning

confidence: 99%

Hawking temperatures for the Vaidya and the Reissner-Nordstrom-Vaidya black holes

Triyanta¹,

Siahaan²,

Bowaire³

2016

AIP Conference Proceedings

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Abstract. We derive the Hawking temperature for both the Vaidya and the Reissner-Nordstrom-Vaidya black holes in two methods, the radial null geodesic method and the complex path method. Both black holes differ in some ways including the charge content and the number of horizons: the Vaidya black hole is charge-less and it has a single horizon while the Reissner-Nordstrom-Vaidya black hole is charged and it has two horizons. We obtain that the Hawking temperature for both black holes depends on their masses and on the radial change of their masses. Black hole with greater mass has a lesser Hawking temperature. We also obtain that there is a condition that should be fulfilled in order to guaranty positive values of the Hawking temperature. Some special cases for the Reissner-Nordstrom-Vaidya black hole are also discussed.

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“…is recovered in the Painlevé coordinate by using the complex path technique [34] [35]. We now try to find an expression of the statistical-mechanical entropy due to the quantum scalar field in thermal equilibrium at temperature 1/β in the Painlevé coordinate by suing the BWM.…”

Section: Statistical-mechanical Entropy In the Painlevé Coordinatementioning

confidence: 99%

Can the “brick wall” model present the same results in different coordinate representations?

Jing

2004

Phys. Rev. D

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By using the 't Hooft's "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropies arising from the quantum scalar field in different coordinate settings, such as the Painlevé and Lemaitre coordinates. At first glance, it seems that the entropies would be different from that in the standard Schwarzschild coordinate since the metrics in both the Painlevé and Lemaitre coordinates do not possess the singularity at the event horizon as that in the Schwarzschild-like coordinate. However, after an exact calculation we find that, up to the subleading correction, the statistical-mechanical entropies in these coordinates are equivalent to that in the Schwarzschild-like coordinate. The result is not only valid for black holes and de Sitter spaces, but also for the case that the quantum field exerts back reaction on the gravitational field provided that the back reaction does not alter the symmetry of the spacetime.

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Hawking radiation in different coordinate settings: complex paths approach

Cited by 304 publications

References 22 publications

Hawking radiation as quantum tunneling in Rindler coordinate

Hawking radiation as quantum tunneling in Rindler coordinate

Hawking temperatures for the Vaidya and the Reissner-Nordstrom-Vaidya black holes

Can the “brick wall” model present the same results in different coordinate representations?

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