scholarly journals Quantum Radiation Properties of General Nonstationary Black Hole

2017 ◽  
Vol 2017 ◽  
pp. 1-15
Author(s):  
T. Ibungochouba Singh
Keyword(s):  
Black Hole ◽  
Thermal Radiation ◽  
Radiation Spectrum ◽  
Scalar Particles ◽  
Dirac Equations ◽  
Quantum Radiation ◽  
Radiation Properties ◽  
Tortoise Coordinate ◽  
Generalized Tortoise Coordinate Transformation ◽  
Nonstationary Black Hole

Using the generalized tortoise coordinate transformations the quantum radiation properties of Klein-Gordon scalar particles, Maxwell’s electromagnetic field equations, and Dirac equations are investigated in general nonstationary black hole. The locations of the event horizon and the Hawking temperature depend on both time and angles. A new extra coupling effect is observed in the thermal radiation spectrum of Maxwell’s equations and Dirac equations which is absent in the thermal radiation spectrum of scalar particles. We also observe that the chemical potential derived from scalar particles is equal to the highest energy of the negative-energy state of the scalar particle in the nonthermal radiation in general nonstationary black hole. Applying generalized tortoise coordinate transformation a constant termξis produced in the expression of thermal radiation in general nonstationary black hole. It indicates that generalized tortoise coordinate transformation is more accurate and reliable in the study of thermal radiation of black hole.

Quantum radiation of Maxwell’s electromagnetic field in nonstationary Kerr–de Sitter black hole

2016 ◽  
Vol 25 (05) ◽  
pp. 1650061 ◽  
Author(s):  
T. Ibungochouba Singh ◽  
I. Ablu Meitei ◽  
K. Yugindro Singh
Keyword(s):  
Black Hole ◽  
Thermal Radiation ◽  
Radiation Spectrum ◽  
Scalar Particle ◽  
De Sitter ◽  
Nonthermal Radiation ◽  
Thermal Radiation Spectrum ◽  
Quantum Radiation ◽  
Tortoise Coordinate ◽  
Generalized Tortoise Coordinate Transformation

Quantum radiation properties of nonstationary Kerr–de Sitter (KdS) black hole is investigated using the method of generalized tortoise coordinate transformation. The locations of horizons and the temperature of the thermal radiation as well as the maximum energy of the nonthermal radiation are derived. It is found that the surface gravity and the Hawking temperature depend on both time and different angles. An extra coupling effect is obtained in the thermal radiation spectrum of Maxwell’s electromagnetic field equations which is absent in the thermal radiation spectrum of scalar particles. Further, the chemical potential derived from the thermal radiation spectrum of scalar particle has been found to be equal to the highest energy of the negative energy state of the scalar particle in the nonthermal radiation for KdS black hole. It is also shown that the generalized tortoise coordinate transformation produces a constant term in the expression of the surface gravity and Hawking temperature.

scholarly journals Quantum Radiation Properties of Dirac Particles in General Nonstationary Black Holes

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Jia-Chen Hua ◽  
Yong-Chang Huang
Keyword(s):  
Black Holes ◽  
Thermal Radiation ◽  
Event Horizon ◽  
Radiation Spectrum ◽  
Scalar Particles ◽  
Nonthermal Radiation ◽  
Dirac Particles ◽  
Thermal Radiation Spectrum ◽  
Quantum Radiation ◽  
Radiation Properties

Quantum radiation properties of Dirac particles in general nonstationary black holes in the general case are investigated by both using the method of generalized tortoise coordinate transformation and considering simultaneously the asymptotic behaviors of the first-order and second-order forms of Dirac equation near the event horizon. It is generally shown that the temperature and the shape of the event horizon of this kind of black holes depend on both the time and different angles. Further, we give a general expression of the new extra coupling effect in thermal radiation spectrum of Dirac particles which is absent from the thermal radiation spectrum of scalar particles. Also, we reveal a relationship that is ignored before between thermal radiation and nonthermal radiation in the case of scalar particles, which is that the chemical potential in thermal radiation spectrum is equal to the highest energy of the negative energy state of scalar particles in nonthermal radiation for general nonstationary black holes.

scholarly journals NON-EXISTENCE OF NEW QUANTUM ERGOSPHERE EFFECT OF A VAIDYA-TYPE BLACK HOLE

2001 ◽  
Vol 16 (24) ◽  
pp. 1549-1557 ◽  
Author(s):  
S. Q. WU ◽  
X. CAI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Thermal Radiation ◽  
Radiation Spectrum ◽  
Scalar Fields ◽  
Dirac Particles ◽  
Klein Gordon ◽  
Tortoise Coordinate ◽  
Generalized Tortoise Coordinate Transformation ◽  
Spherically Symmetry

Hawking evaporation of Dirac particles and scalar fields in a Vaidya-type black hole is investigated by the method of generalized tortoise coordinate transformation. It is shown that Hawking radiation of Dirac particles does not exist for P1, Q2 components but for P2, Q1 components in any Vaidya-type black holes. Both the location and the temperature of the event horizon change with time. The thermal radiation spectrum of Dirac particles is the same as that of Klein–Gordon particles. We demonstrate that there is no new quantum ergosphere effect in the thermal radiation of Dirac particles in any spherically symmetry black holes.

QUANTUM ERGOSPHERE AND HAWKING PROCESS

1999 ◽  
Vol 14 (28) ◽  
pp. 1951-1960 ◽  
Author(s):  
ZHONG-HENG LI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Thermal Radiation ◽  
Radiation Spectrum ◽  
Spherically Symmetric ◽  
Field Equations ◽  
Stationary Black Hole ◽  
Symmetric Black Hole ◽  
Hawking Process ◽  
Nonstationary Black Hole

We study both spherically symmetric and rotating (Kerr) nonstationary black holes and discuss the radiation of these black holes via the Hawking process. We find that the thermal radiation spectrum of a nonstationary black hole is obviously dependent on the spin state of a particle and is different from the case of a stationary black hole. This effect originates from the quantum ergosphere. We also find that the field equations of spin s=0,1/2,1 and 2 can combine into a generalized Teukolsky-type master equation with sources for any spherically symmetric black hole.

CHARACTERISTICS OF QUANTUM RADIATION OF SLOWLY VARYING NONSTATIONARY KERR–NEWMAN BLACK HOLES

2009 ◽  
Vol 24 (10) ◽  
pp. 1889-1899 ◽  
Author(s):  
JIA-CHEN HUA ◽  
YONG-CHANG HUANG
Keyword(s):  
Black Holes ◽  
Thermal Radiation ◽  
Chemical Potential ◽  
Energy State ◽  
Negative Energy ◽  
Nonthermal Radiation ◽  
Quantum Radiation ◽  
Tortoise Coordinate ◽  
Generalized Tortoise Coordinate Transformation ◽  
Radiative Characteristics

Quantum radiative characteristics of slowly varying nonstationary Kerr–Newman black holes are investigated by using the method of generalized tortoise coordinate transformation. It is shown that the temperature and the shape of the event horizon of this kind of black holes depend on the time and the angle. Further, we reveal a previously ignored relationship between thermal radiation and nonthermal radiation, which is that the chemical potential in the thermal radiation spectrum is equal to the highest energy of the negative energy state of particles in nonthermal radiation for slowly varying nonstationary Kerr–Newman black holes. Also, we show that the deduced general results can be degenerated to the known conclusion of stationary Kerr–Newman black holes.

Hawking radiation from a dynamical Kerr–Newman black hole

2011 ◽  
Vol 89 (6) ◽  
pp. 667-672 ◽  
Author(s):  
Han Ding ◽  
Xian-Ming Liu ◽  
Wen-Biao Liu
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Coordinate Transformation ◽  
Apparent Horizon ◽  
Schwarzschild Black Hole ◽  
Static Black Hole ◽  
Newman Black Hole ◽  
Tortoise Coordinate ◽  
Tortoise Coordinate Transformation ◽  
Generalized Tortoise Coordinate Transformation

After Hawking radiation from a Schwarzschild black hole is calculated using the Damour–Ruffini method, the tortoise coordinate transformation in a static black hole is extended to a dynamical axisymmetric black hole, such as a dynamical Kerr–Newman black hole. Under the generalized tortoise coordinate transformation, Hawking radiation from a dynamical Kerr–Newman black hole is obtained successfully. Moreover, it also seems to occur on the apparent horizon instead of the event horizon.

Tunneling radiation of fermions with 1/2 and 3/2 spins from a charged axisymmetric nonstationary black hole

2019 ◽  
Vol 34 (29) ◽  
pp. 1950242
Author(s):  
Ding-Qun Chao ◽  
Shu-Zheng Yang ◽  
Zhong-Wen Feng
Keyword(s):  
Black Hole ◽  
Dirac Equation ◽  
Jacobi Equation ◽  
Tunneling Rate ◽  
Tunneling Radiation ◽  
Tortoise Coordinate ◽  
Tortoise Coordinate Transformation ◽  
Hamilton Jacobi Equation ◽  
Nonstationary Black Hole ◽  
Charge Formula

In this paper, we derived Hamilton–Jacobi equation for spin 1/2 and 3/2 fermions from Dirac equation and Rarita–Schwinger equation. Then, by using the Hamilton–Jacobi equation and general tortoise coordinate transformation, the tunneling rate and Hawking temperatures of a nonstationary axisymmetric symmetry black hole are investigated. The result shows that the tunneling rate, temperature and surface gravity are all related to the properties of horizons of the black hole, the cosmological constant [Formula: see text], the charge [Formula: see text], mass of black hole [Formula: see text] and the Eddington time [Formula: see text].

scholarly journals Black hole S-matrix for a scalar field

2021 ◽  
Vol 2021 (7) ◽  
Author(s):  
Panos Betzios ◽  
Nava Gaddam ◽  
Olga Papadoulaki
Keyword(s):  
Black Hole ◽  
Normal Modes ◽  
Massless Scalar ◽  
Scattering Process ◽  
Schwarzschild Black Hole ◽  
Asymptotically Flat ◽  
Scalar Particles ◽  
Black Hole Background ◽  
S Matrix ◽  
Do So

Abstract We describe a unitary scattering process, as observed from spatial infinity, of massless scalar particles on an asymptotically flat Schwarzschild black hole background. In order to do so, we split the problem in two different regimes governing the dynamics of the scattering process. The first describes the evolution of the modes in the region away from the horizon and can be analysed in terms of the effective Regge-Wheeler potential. In the near horizon region, where the Regge-Wheeler potential becomes insignificant, the WKB geometric optics approximation of Hawking’s is replaced by the near-horizon gravitational scattering matrix that captures non-perturbative soft graviton exchanges near the horizon. We perform an appropriate matching for the scattering solutions of these two dynamical problems and compute the resulting Bogoliubov relations, that combines both dynamics. This allows us to formulate an S-matrix for the scattering process that is manifestly unitary. We discuss the analogue of the (quasi)-normal modes in this setup and the emergence of gravitational echoes that follow an original burst of radiation as the excited black hole relaxes to equilibrium.

Radiation spectrum of a high-dimensional rotating black hole

2010 ◽  
Vol 53 (3) ◽  
pp. 504-507 ◽  
Author(s):  
Ren Zhao ◽  
HuaiFan Li ◽  
LiChun Zhang ◽  
YueQin Wu
Keyword(s):  
Black Hole ◽  
Radiation Spectrum ◽  
High Dimensional ◽  
Rotating Black Hole
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