Hawking Radiation via Damour-Ruffini Method in Squashed Charged Rotating Kaluza-Klein Black Holes

Abstract Recently it was proposed that the entanglement entropy of the Hawking radiation contains the information of a region including the interior of the event horizon, which is called “island.” In studies of the entanglement entropy of the Hawking radiation, the total system in the black hole geometry is separated into the Hawking radiation and black hole. In this paper, we study the entanglement entropy of the black hole in the asymptotically flat Schwarzschild spacetime. Consistency with the island rule for the Hawking radiation implies that the information of the black hole is located in a different region than the island. We found an instability of the island in the calculation of the entanglement entropy of the region outside a surface near the horizon. This implies that the region contains all the information of the total system and the information of the black hole is localized on the surface. Thus the surface would be interpreted as the stretched horizon. This structure also resembles black holes in the AdS spacetime with an auxiliary flat spacetime, where the information of the black hole is localized at the interface between the AdS spacetime and the flat spacetime.

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Direct Detection of Hawking Radiation from Asteroid-Mass Primordial Black Holes

Physical Review Letters ◽

10.1103/physrevlett.126.171101 ◽

2021 ◽

Vol 126 (17) ◽

Author(s):

Adam Coogan ◽

Logan Morrison ◽

Stefano Profumo

Keyword(s):

Black Holes ◽

Hawking Radiation ◽

Direct Detection ◽

Primordial Black Holes

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HAWKING RADIATION VIA TUNNELING OF MASSIVE PARTICLES FROM A GRAVITY'S RAINBOW

Modern Physics Letters A ◽

10.1142/s0217732310034341 ◽

2010 ◽

Vol 25 (38) ◽

pp. 3229-3240 ◽

Cited By ~ 5

Author(s):

CHENG-ZHOU LIU

Keyword(s):

Black Holes ◽

Hawking Radiation ◽

Quantum Effect ◽

Massive Particle ◽

Planck Scale ◽

Gravity’S Rainbow ◽

Gravity's Rainbow ◽

Corrected Entropy ◽

Massive Particles ◽

Massive Particle Tunneling

In the tunneling framework of Hawking radiation, the quantum tunneling of massive particles in the modified Schwarzschild black holes from gravity's rainbow is investigated. While the massive particle tunneling from the event horizon, the metric fluctuation is taken into account, not only due to energy conservation but also to the Planck scale effect of spacetime. The obtained results show that, the emission rate is related to changes of the black hole's quantum corrected entropies before and after the emission. This implies that, considering the quantum effect of spacetime, information conservation of black holes is probable. Meanwhile, the quantum corrected entropy of the modified black hole is obtained and the leading correction behave as log-area type. And that, the emission spectrum with Planck scale correction is obtained and it deviates from the thermal spectrum.

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Islands and Page curves of Reissner-Nordström black holes

Journal of High Energy Physics ◽

10.1007/jhep04(2021)103 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

Xuanhua Wang ◽

Ran Li ◽

Jin Wang

Keyword(s):

Black Holes ◽

Black Hole ◽

Hawking Radiation ◽

Entanglement Entropy ◽

Additional Term ◽

Current Case ◽

Information Paradox ◽

Extremal Surface ◽

Four Dimensions ◽

Black Hole Information

Abstract We apply the recently proposed quantum extremal surface construction to calculate the Page curve of the eternal Reissner-Nordström black holes in four dimensions ignoring the backreaction and the greybody factor. Without the island, the entropy of Hawking radiation grows linearly with time, which results in the information paradox for the eternal black holes. By extremizing the generalized entropy that allows the contributions from the island, we find that the island extends to the outside the horizon of the Reissner-Nordström black hole. When taking the effect of the islands into account, it is shown that the entanglement entropy of Hawking radiation at late times for a given region far from the black hole horizon reproduces the Bekenstein-Hawking entropy of the Reissner-Nordström black hole with an additional term representing the effect of the matter fields. The result is consistent with the finiteness of the entanglement entropy for the radiation from an eternal black hole. This facilitates to address the black hole information paradox issue in the current case under the above-mentioned approximations.

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