scholarly journals A SECRET TUNNEL THROUGH THE HORIZON

2004 ◽  
Vol 13 (10) ◽  
pp. 2351-2354 ◽  
Author(s):  
MAULIK PARIKH
Keyword(s):  
Black Hole ◽  
Quantum Theory ◽  
Energy Conservation ◽  
Hawking Radiation ◽  
Radiation Spectrum ◽  
Direct Consequence ◽  
Thermal Spectrum ◽  
Black Hole Information

Hawking radiation is often intuitively visualized as particles that have tunneled across the horizon. Yet, at first sight, it is not apparent where the barrier is. Here I show that the barrier depends on the tunneling particle itself. The key is to implement energy conservation, so that the black hole contracts during the process of radiation. A direct consequence is that the radiation spectrum cannot be strictly thermal. The correction to the thermal spectrum is of precisely the form that one would expect from an underlying unitary quantum theory. This may have profound implications for the black hole information puzzle.

scholarly journals Corrected Hawking Radiation of Dirac Particles from a General Static Riemann Black Hole

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Ge-Rui Chen ◽  
Yong-Chang Huang
Keyword(s):  
Black Hole ◽  
Quantum Theory ◽  
Hawking Radiation ◽  
Radiation Spectrum ◽  
Direct Consequence ◽  
Information Loss ◽  
Back Reaction ◽  
Information Loss Paradox ◽  
Dirac Particles ◽  
Black Hole Information

Considering energy conservation and the back reaction of radiating particles to the spacetime, we investigate the massive Dirac particles' Hawking radiation from a general static Riemann black hole using improved Damour-Ruffini method. A direct consequence is that the radiation spectrum is not strictly thermal. The correction to the thermal spectrum is consistent with an underlying unitary quantum theory and this may have profound implications for the black hole information loss paradox.

scholarly journals Dark Information in Black Hole with λφ Fluid

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 118
Author(s):  
Yu-Xiao Liu ◽  
Yu-Han Ma ◽  
Yong-Qiang Wang ◽  
Shao-Wen Wei ◽  
Chang-Pu Sun
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Radiation Spectrum ◽  
Fluid Model ◽  
Horizon Radius ◽  
Nonthermal Radiation ◽  
Spacetime Structure ◽  
Symmetric Black Hole ◽  
Statistical Mechanical ◽  
Black Hole Information

It has been shown that the nonthermal spectrum of Hawking radiation will lead to information-carrying correlations between emitted particles in the radiation. The mutual information carried by such correlations can not be locally observed and hence is dark. With dark information, the black hole information is conserved. In this paper, we look for the spherically symmetric black hole solution in a λφ fluid model and investigate the radiation spectrum and dark information of the black hole. The spacetime structure of this black hole is similar to that of the Schwarzschild one, while its horizon radius is decreased by the λφ fluid. By using the statistical mechanical method, the nonthermal radiation spectrum is calculated. This radiation spectrum is very different from the Schwarzschild case at its last stage because of the effect of the λφ fluid. The λφ fluid reduces the lifetime of the black hole, but increases the dark information of the Hawking radiation.

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 Hawking radiation via tunneling from Born–Infeld AdS black hole

2016 ◽  
Vol 94 (12) ◽  
pp. 1369-1371 ◽  
Author(s):  
Gu-Qiang Li
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Emission Spectrum ◽  
Hawking Radiation ◽  
Emission Rate ◽  
De Sitter ◽  
Tunneling Radiation ◽  
Unitary Theory ◽  
Thermal Spectrum

The tunneling radiation of particles from Born–Infeld anti-de Sitter black holes is studied by using the Parikh–Wilczek method and the emission rate of a particle is calculated. It is shown that the emission rate is related to the change of the Bekenstein–Hawking entropy of the black hole and the emission spectrum deviates from the purely thermal spectrum but is consistent with an underlying unitary theory.

Black-hole Information Loss Problem: Past, Present, and Future

2020 ◽  
Vol 29 (11) ◽  
pp. 17-25
Author(s):  
Sang-Heon YI ◽  
Dong-han YEOM
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Quantum Information ◽  
Hawking Radiation ◽  
Recent Progress ◽  
Information Loss ◽  
Future Perspectives ◽  
Black Hole Information ◽  
Information Loss Problem

In this article, we discuss the information loss problem of black holes and critically review candidate resolutions of the problem. As a black hole evaporates via Hawking radiation, it seems to lose original quantum information; this indicates that the unitarity of time evolution in quantum mechanics and the fundamental predictability of physics are lost. We categorized candidate resolutions by asking (1) where information is and (2) which principle of physics is changed. We also briefly comment on the recent progress in the string theory community. Finally, we present several remarks for future perspectives.

Hawking Radiation of Charged Particles as Tunneling from Kim Black Hole

2012 ◽  
Vol 538-541 ◽  
pp. 2169-2174
Author(s):  
Qing Quan Jiang
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Quantum Tunneling ◽  
Radiation Spectrum ◽  
Charged Particles ◽  
Information Loss ◽  
Unitary Theory ◽  
Conservation Of Energy ◽  
Black Hole Evaporation ◽  
Tunneling Method

In this paper, when considering the conservation of energy, electric charge and angular momentum, we develop the Parikh-Wilczek’s quantum tunneling method to study the Hawking radiation of charged particles via tunneling from the event horizon of Kim black hole. The result shows the exact radiation spectrum deviates from the precisely thermal one, but satisfies an underlying unitary theory, which provides a possible solution to the information loss during the black hole evaporation.

scholarly journals THERMAL RADIATION OF VARIOUS GRAVITATIONAL BACKGROUNDS

2007 ◽  
Vol 22 (08n09) ◽  
pp. 1705-1715 ◽  
Author(s):  
EMIL T. AKHMEDOV ◽  
VALERIA AKHMEDOVA ◽  
DOUGLAS SINGLETON ◽  
TERRY PILLING
Keyword(s):  
Black Hole ◽  
Thermal Radiation ◽  
Hawking Radiation ◽  
General Procedure ◽  
Storage Rings ◽  
Thermal Spectrum ◽  
Experimental Detection ◽  
Physical Picture

We present a simple and general procedure for calculating the thermal radiation coming from any stationary metric. The physical picture is that the radiation arises as the quasiclassical tunneling of particles through a gravitational barrier. We study three cases in detail: the linear accelerating observer (Unruh radiation), the nonrotating black hole (Hawking radiation), and the rotating/orbiting observer (circular Unruh radiation). For the linear accelerating observer we obtain a thermal spectrum with the usual Unruh temperature. For the nonrotating black hole we obtain a thermal spectrum, but with a temperature twice that given by the original Hawking calculations. We discuss possible reasons for the discrepancies in temperatures as given by the two different methods. For the rotating/orbiting case the quasiclassical tunneling approach indicates that there is no thermal radiation. This result for the rotating/orbiting case has experimental implications for the experimental detection of this effect via the polarization of particles in storage rings.

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 Maxwell–Boltzmann type Hawking radiation

2017 ◽  
Vol 32 (12) ◽  
pp. 1750071 ◽  
Author(s):  
Youngsub Yoon
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Radiation Spectrum ◽  
Boltzmann Distribution ◽  
Black Hole Horizon ◽  
Not Given ◽  
Horizon Area ◽  
Einstein Distribution ◽  
Bose Einstein

Twenty years ago, Rovelli proposed that the degeneracy of black hole (i.e. the exponential of the Bekenstein–Hawking entropy) is given by the number of ways the black hole horizon area can be expressed as a sum of unit areas. However, when counting the sum, one should treat the area quanta on the black hole horizon as distinguishable. This distinguishability of area quanta is noted in Rovelli’s paper. Building on this idea, we derive that the Hawking radiation spectrum is not given by Planck radiation spectrum (i.e. Bose–Einstein distribution) but given by Maxwell–Boltzmann distribution.

scholarly journals Hawking Radiation-Quasi-Normal Modes Correspondence and Effective States for Nonextremal Reissner-Nordström Black Holes

2014 ◽  
Vol 2014 ◽  
pp. 1-9 ◽  
Author(s):  
C. Corda ◽  
S. H. Hendi ◽  
R. Katebi ◽  
N. O. Schmidt
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Hawking Radiation ◽  
Radiation Spectrum ◽  
Normal Modes ◽  
Particle Emission

It is known that the nonstrictly thermal character of the Hawking radiation spectrum harmonizes Hawking radiation with black hole (BH) quasi-normal modes (QNM). This paramount issue has been recently analyzed in the framework of both Schwarzschild BHs (SBH) and Kerr BHs (KBH). In this assignment, we generalize the analysis to the framework ofnonextremalReissner-Nordström BHs (RNBH). Such a generalization is important because in both Schwarzschild and Kerr BHs an absorbed (emitted) particle has only mass. Instead, in RNBH the particle has charge as well as mass. In doing so, we expose that, for the RNBH, QNMs can be naturally interpreted in terms of quantum levels for both particle emission and absorption. Conjointly, we generalize some concepts concerning the RNBH's “effective states.”

Sign in / Sign up

Export Citation Format

Share Document