Hawking radiation of mini black holes at colliders: Determination of BH evolution

2007 ◽  
Author(s):  
Daisuke Ida ◽  
Kin-ya Oda ◽  
Seong Chan Park
Keyword(s):  
Black Holes ◽  
Hawking Radiation ◽  
Mini Black Holes

Thermal relativity, modified Hawking radiation, and the generalized uncertainty principle

2019 ◽  
Vol 16 (10) ◽  
pp. 1950156
Author(s):  
Carlos Castro Perelman
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Uncertainty Relation ◽  
Generalized Uncertainty Principle ◽  
Black Hole Entropy ◽  
The Novel ◽  
Black Hole Information ◽  
The One ◽  
Mini Black Holes

After a brief review of the thermal relativistic corrections to the Schwarzschild black hole entropy, it is shown how the Stefan–Boltzman law furnishes large modifications to the evaporation times of Planck-size mini-black holes, and which might furnish important clues to the nature of dark matter and dark energy since one of the novel consequences of thermal relativity is that black holes do not completely evaporate but leave a Planck size remnant. Equating the expression for the modified entropy (due to thermal relativity corrections) with Wald’s entropy should, in principle, determine the functional form of the modified gravitational Lagrangian [Formula: see text]. We proceed to derive the generalized uncertainty relation which corresponds to the effective temperature [Formula: see text] associated with thermal relativity and given in terms of the Hawking ([Formula: see text]) and Planck ([Formula: see text]) temperature, respectively. Such modified uncertainty relation agrees with the one provided by string theory up to first order in the expansion in powers of [Formula: see text]. Both lead to a minimal length (Planck size) uncertainty. Finally, an explicit analytical expression is found for the modifications to the purely thermal spectrum of Hawking radiation which could cast some light into the resolution of the black hole information paradox.

scholarly journals VALIDITY OF EMPARAN–HOROWITZ-MYERS ARGUMENT IN HAWKING RADIATION INTO MASSLESS SPIN-2 FIELDS

2007 ◽  
Vol 22 (22) ◽  
pp. 1635-1642 ◽  
Author(s):  
EYLEE JUNG ◽  
D. K. PARK
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Master Equation ◽  
Hawking Radiation ◽  
Emission Rates ◽  
Total Emission ◽  
Schwarzschild Black Hole ◽  
Radial Equation ◽  
Massless Spin ◽  
Mini Black Holes

The Hawking radiation for massless spin-2 fields is numerically studied when the spacetime background is (4+n)-dimensional Schwarzschild black hole phase. In order to check the validity of the Emparan–Horowitz–Myers argument, black holes radiate mainly on the brane, we assume that the radial equation for the massless spin-2 fields propagating on the brane obeys the master equation approximately. The transmission coefficient is computed explicitly by making use of the Hawking–Hartle theorem. It is shown that the total emission rates into the bulk are dominant compared to the rates on the visible brane when n ≥ 3. However, the bulk-to-brane relative emissivities per degree of freedom always remain O(1) roughly. The experimental significance of these results in the production of mini-black holes in future colliders is briefly discussed.

scholarly journals Islands and stretched horizon

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Yoshinori Matsuo
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Entanglement Entropy ◽  
Total System ◽  
Island Rule ◽  
Asymptotically Flat ◽  
Flat Spacetime ◽  
Ads Spacetime ◽  
Hole Geometry

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.

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

2010 ◽  
Vol 25 (38) ◽  
pp. 3229-3240 ◽  
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.

scholarly journals Islands and Page curves of Reissner-Nordström black holes

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.

scholarly journals On the Hawking radiation as tunneling for a class of dynamical black holes

2007 ◽  
Vol 657 (1-3) ◽  
pp. 107-111 ◽  
Author(s):  
R. Di Criscienzo ◽  
M. Nadalini ◽  
L. Vanzo ◽  
S. Zerbini ◽  
G. Zoccatelli
Keyword(s):  
Black Holes ◽  
Hawking Radiation

Upper limits on micro-mini black holes

1981 ◽  
Vol 75 (2) ◽  
pp. 229-236 ◽  
Author(s):  
Tony Rothman ◽  
Richard Matzner
Keyword(s):  
Black Holes ◽  
Upper Limits ◽  
Mini Black Holes
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