Evaporation screening, scattering, and quantum tunnelling near the horizons of Schwarzschild and Reissner–Nordström black holes

Prodanov, Emil M.

doi:10.1088/0264-9381/31/10/105013

Cited by 6 publications

(7 citation statements)

References 18 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Parikh and Wilczek [6] developed this idea as a quantum tunneling process, across a classically forbidden region at the horizon. Prodanov [7] has recently examined the screening of such evaporation in the Schwarschild and Reissner-Nordstrom cases.…”

Section: Introductionmentioning

confidence: 99%

Hawking radiation screening and Penrose process shielding in the Kerr black hole

Caughey¹

2016

Eur. Phys. J. C

View full text Add to dashboard Cite

The radial motion of massive particles in the equatorial plane of a Kerr black hole is considered. Screening of the Hawking radiation and shielding of the Penrose process are examined (both inside and outside the ergosphere) and their effect on the evaporation of the black hole is studied. In particular, the locus and width of a classically forbidden region and their dependance on the particle's angular momentum and energy is analysed. Tunneling of particles between the boundaries of this region is considered and the transmission coefficient determined. keywords: Kerr geometry; black hole decay; quantum tunnelling. arXiv:1603.08774v1 [gr-qc]

show abstract

Section: Introductionmentioning

confidence: 99%

Hawking radiation screening and Penrose process shielding in the Kerr black hole

Caughey¹

2016

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“… 的存在，在流体中不能很好的模拟史瓦西黑洞 [12] 。使用类比方法研究克尔黑洞可能更具有现实意义，因为克尔黑洞更加接近天体黑洞。克尔黑洞即旋转不带电的黑洞，它的旋转能量可以通过彭罗斯效应 [13] 提取出来。设想在旋转黑洞的能层中制造一对拥有正负能量的粒子；具有负能量的粒子坠入旋转黑洞减少了黑洞的能量，另一个具有正能量的粒子得到黑洞减少的能量并逃向无穷远处。模拟旋转黑洞需要得到它们在(2+1)维共形平坦的 slices [14] 。许多旋转黑洞如克尔黑洞和克尔纽曼黑洞都没有共形平坦的 slices [15] ，因此不能得到这些时空的完整类比黑洞 [16] 。如在水流中实现有视界和静界的类比黑洞 [17] ，在光子流体 [18] 中实现只有静界的类比黑洞 [19] 。最近的一篇文章 [20] 在光子流体中给出了具有内部视界，外部视界和能层的类比黑洞结构；并说明了在这个结构里可以实现霍金辐射的共振增强和超辐射。我们改造了他们涡旋光的径向相位，得到了一个与 BTZ 黑洞结构相似的类比黑洞。并利用黑洞的辐射屏蔽效应 [21][22][23]…”

Section: 引言unclassified

Radiation shielding of analog Bañados-Teitelboim-Zanelli black holes

Zhang¹,

Chen²,

Zhang³

2023

Acta Phys. Sin.

View full text Add to dashboard Cite

Although the theory of analog gravity suggests that we can simulate the space-time structure of black holes using laboratory physical systems, it is difficult to find the analogue for rotating black holes in laboratory systems. In this article, we use a new field form for the optical vortex to study the analogous black hole structure close to the <i>Bañados-Teitelboim-Zaneli</i>(BTZ) black hole. We compare the similarities and differences of massless particles and sound waves by calculating their motions in space-time analogous to BTZ black holes and gravitational BTZ black holes. The effective potential energies of massless particles and sound waves in both kinds of black hole spacetime give identical forbidden-zone distributions of energy and angular momentum. The difference is that the classical forbidden area of the BTZ black hole will approach a fixed angular momentum value along the radial direction, while the classical forbidden area of the analogous BTZ black hole will be closed along the radial direction. Fortunately, near the event horizon and the ergosphere, the behavior of massless particles and sound waves is almost the same. From this point of view, we can say that the analogous experimental system can simulate the BTZ black hole very well. In particular, the classically forbidden regions of particles with low energy and high angular momentum are wider in both types of black hole space-time.

show abstract

“…However, the effective potential ( 12) can be negative for some physically allowable values of the energy E and angular momentum L under the real blackhole spacetime background. The region in which the effective potential is negative is called the classically forbidden region [3,4]. Now, we analyze whether the classically forbidden region exists under the analogue spacetime background.…”

Section: Radiation Shieldingmentioning

confidence: 99%

“…To view a copy of this licence, visit http://creativecomm ons.org/licenses/by/4.0/. Funded by SCOAP 3 . SCOAP 3 supports the goals of the International Year of Basic Sciences for Sustainable Development.…”

Section: Data Availability Statementmentioning

confidence: 99%

“…The superradiance can occur for the classical or quantum waves. However, radiation screening [3] for the particles with certain energies and angular momenta exists inside and outside the ergosphere for the Kerr spacetime [4] and Kerr-Newman spacetime [5], which restricts the motion of the classical particles in the ergosphere and so restricts the occurrence of a e-mail: zhangbaocheng@cug.edu.cn (corresponding author) classical Penrose process. For these restricted particles, the Penrose superradiance can occur by the quantum tunneling.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Shielding of Penrose superradiance in optical black holes

Zhang

2023

Eur. Phys. J. C

View full text Add to dashboard Cite

We investigate the effect of superradiance shielding for the analogue rotating black holes simulated by optical vortices by calculating the radial motion of massless particles in such spacetime background. We add the conditions $$E<L\Omega _{r_{e}}$$ E < L Ω r e and $$L>0$$ L > 0 to judge the classically forbidden region of superradiance. It is found that the superradiance forbidden region exists near the static limit inside the ergosphere, which will limit the classical Penrose process for the particles with some specific energies and angular momenta. Once these particles satisfying the superradiance conditions are measured at the outside of the ergosphere, this shows that the Penrose process can be quantum.

show abstract

Evaporation screening, scattering, and quantum tunnelling near the horizons of Schwarzschild and Reissner–Nordström black holes

Cited by 6 publications

References 18 publications

Hawking radiation screening and Penrose process shielding in the Kerr black hole

Hawking radiation screening and Penrose process shielding in the Kerr black hole

Radiation shielding of analog Bañados-Teitelboim-Zanelli black holes

Shielding of Penrose superradiance in optical black holes

Contact Info

Product

Resources

About