scholarly journals Oscillating Apparent Horizons in Numerically Generated Spacetimes

1995 ◽  
Vol 48 (6) ◽  
pp. 1027 ◽  
Author(s):  
Peter Anninos ◽  
David Bemstein ◽  
Steve Brandt ◽  
David Hobill ◽  
Ed Seidel ◽  
...  
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Gravitational Radiation ◽  
Total Angular Momentum ◽  
Apparent Horizon ◽  
Mode Frequency ◽  
Quasinormal Mode ◽  
Coordinate Time ◽  
Apparent Horizons ◽  
Black Hole Spacetime

We investigate the evolution of the apparent horizon in three families of numerically generated spacetimes: the 'black hole plus Brill wave' spacetimes of Bernstein et al., the non-time symmetric generalisation of this by Brandt, and the Misner two black hole spacetime. Various measures of the curvature and shape of the horizon are shown as a function of coordinate time at infinity and it is found that the horizon oscillates at the lowest quasinormal mode frequency of the hole. In addition, in the spacetimes with angular momentum the total angular momentum of the final hole can be read off from the oscillations of the horizon directly without having to extract it from the gravitational radiation emitted by the hole.

scholarly journals Quantum gravity effect on the Hawking radiation of spinning dilaton black hole

2019 ◽  
Vol 79 (10) ◽  
Author(s):  
Ganim Gecim ◽  
Yusuf Sucu
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Quantum Gravity ◽  
Total Angular Momentum ◽  
Vector Boson ◽  
Scalar Particle ◽  
Dirac Particle ◽  
Hawking Temperature ◽  
Quantum Gravity Effect ◽  
Dilaton Black Hole

Abstract The quantum gravity correction to the Hawking temperature of the 2+1 dimensional spinning dilaton black hole is studied by using the Hamilton-Jacobi approach in the context of the Generalized Uncertainty Principle (GUP). It is observed that the modified Hawking temperature of the black hole depends on both black hole and the tunnelling particle properties. Moreover, it is observed that the mass and the angular momentum of the scalar particle have the same effect on the Hawking temperature of the black hole, while the mass and total angular momentum (orbital+spin) of Dirac particle have different effect. Furthermore, the mass and total angular momentum (orbital+spin) of vector boson particle have a similar effect that of Dirac particle. Also, thermodynamical stability and phase transition of the black hole are discussed for scalar, Dirac and vector boson in the context of GUP, respectively. And, it is observed that the scalar particle probes the black hole as stable whereas, as for Dirac and vector boson particles, it might undergoes second-type phase transition to become stable while in the absence of the quantum gravity effect all of these particle probes the black hole as stable.

scholarly journals The GUP Effect on Tunneling of Massive Vector Bosons from The 2+1 Dimensional Black Hole

2018 ◽  
Vol 2018 ◽  
pp. 1-8
Author(s):  
Ganim Gecim ◽  
Yusuf Sucu
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Total Angular Momentum ◽  
Vector Boson ◽  
Generalized Uncertainty Principle ◽  
Hawking Temperature ◽  
Massive Vector ◽  
Vector Bosons ◽  
Dimensional Black Hole ◽  
The Stability

In this study, the Generalized Uncertainty Principle (GUP) effect on the Hawking radiation formed by tunneling of a massive vector boson particle from the 2+1 dimensional new-type black hole was investigated. We used modified massive vector boson equation based on the GUP. Then, the Hamilton-Jacobi quantum tunneling approach was used to work out the tunneling probability of the massive vector boson particle and Hawking temperature of the black hole. Due to the GUP effect, the modified Hawking temperature was found to depend on the black hole properties, on the AdS3 radius, and on the energy, mass, and total angular momentum of the tunneling massive vector boson. In the light of these results, we also observed that modified Hawking temperature increases by the total angular momentum of the particle while it decreases by the energy and mass of the particle and the graviton mass. Also, in the context of the GUP, we see that the Hawking temperature due to the tunneling massive vector boson is completely different from both that of the spin-0 scalar and that of the spin-1/2 Dirac particles obtained in the previous study. We also calculate the heat capacity of the black hole using the modified Hawking temperature and then discuss influence of the GUP on the stability of the black hole.

Cosmic Censorship!: Thermal Transport in a ‘Naked’ Black Hole

2011 ◽  
Vol 312-315 ◽  
pp. 27-32
Author(s):  
R. Leticia Corral Bustamante ◽  
Aarón Raúl Rodríguez-Corral ◽  
T.J Amador-Parra ◽  
E.A. Vázquez-Tapia
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Event Horizon ◽  
Naked Singularity ◽  
Major Axis ◽  
Cosmic Censorship ◽  
Einstein Equations ◽  
Semi Major Axis ◽  
High Entropy ◽  
Apparent Horizons

Cosmic censorship!: black hole wrapped up by its entropy and hidden by its event horizon. In this paper, we postulate a metric to solve the Einstein equations of general relativity, which predicts the thermodynamic behavior of a gigantic mass that collapses to a black hole; taking into account the third law of thermodynamics that states that neither physical process can produce a naked singularity. However, under certain conditions, the model allows to evident violation to the cosmic censorship, exposing the hole nakedness. During the collapse of the hole, quantum effects appear: the area decrease and radiation produced has a high entropy, so that increases total entropy and expose the presence of the hole, while the appearance of the event horizon hide the singularity of the exterior gazes. It is verified that in certain circumstances, the model predicts that the hole mass is bigger than its angular momentum; and in all circumstances, this predicts an hole with enormous superficial graveness that satisfy a relationship of the three parameters that describe the hole (mass, charge and angular momentum); factors all indicative that the singularity is not naked. Then, there are no apparent horizons in accord with cosmic censorship conjecture. Even though the surface gravity of the hole prevents destroying its horizon wrapping singularity, there exists evidence of this singularity by the results of the spin-mass relationship and the escape velocity obtained. The lost information and the slow rate of rotation of the semi-major axis of the mass (dragging space and time around itself as it rotates), agree with Einstein's prediction, show the transport of energy through heat and mass transfer, which were measured by entropy of the hole by means of coordinated semi-spherical that include the different types of intrinsic energy to the process of radiation of the hole event horizon.

scholarly journals Decline of the Current Quadrupole Moment during the Merger Phase of Binary Black Hole Coalescence

Universe ◽  
2019 ◽  
Vol 6 (1) ◽  
pp. 3
Author(s):  
Fan Zhang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Quadrupole Moment ◽  
Total Angular Momentum ◽  
Quasinormal Modes ◽  
Binary Black Hole ◽  
Mass Quadrupole

Utilizing the tools of tendex and vortex, we study the highly dynamic plunge and merger phases of several π -symmetric binary black hole coalescences. In particular, we observe a decline of the strength of the current quadrupole moment compared to that of the mass quadrupole moment during the merger phase, contrary to a naive estimate according to the dependence of these moments on the separation between the black holes. We further show that this decline of the current quadrupole moment is achieved through the remnants of the two individual spins becoming nearly aligned or anti-aligned with the total angular momentum. We also speculate on the ability to achieve a consistency between the electric and magnetic parity quasinormal modes.

scholarly journals Low energy greybody factors for fermions emitted by a Schwarzschild-de Sitter black hole

2016 ◽  
Vol 25 (04) ◽  
pp. 1650043 ◽  
Author(s):  
Ciprian A. Sporea ◽  
Andrzej Borowiec
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Energy Spectrum ◽  
Analytical Methods ◽  
Total Angular Momentum ◽  
Low Energy ◽  
De Sitter ◽  
Scalar Particles ◽  
Low Energies ◽  
Sds Black Hole

In this paper, we are discussing the problem of low energy greybody factors for fermions emitted by a Schwarzschild-de Sitter (SdS) black hole. In our study, we are using the analytical methods proposed by Unruh some time ago for determining the greybody factors. We have found that at low energies the greybody factors are constant for a given total angular momentum (similar to what happens in the case of scalar particles reported before in the literature). Also, our results are indicating an enhancement in the energy spectrum if one is increasing the value of the cosmological constant. These results are consistent with numerical calculations performed by S. F. Wu et al., Phys. Rev. D 78 (1998) 084010.

Bekenstein–Hawking entropy by energy quantization from Reissner–Nordström black hole

2016 ◽  
Vol 25 (03) ◽  
pp. 1650034 ◽  
Author(s):  
M. Jakir Hossain ◽  
M. Atiqur Rahman ◽  
M. Ilias Hossain
Keyword(s):  
Black Hole ◽  
Angular Momentum ◽  
Test Particle ◽  
Effective Potential ◽  
Circular Orbits ◽  
Energy Quantization ◽  
Quantum Numbers ◽  
Black Hole Spacetime ◽  
Complete Set ◽  
Large Quantum

We consider the motion of a test particle orbiting around Reissner–Nordström (RN) black hole spacetime. The complete set of equations for radial motion and effective potential is derived. We also derive the radius of the different stable circular orbits of this particle corresponding to different label indexes like the Bohr atomic model. We also quantized the energy of this particle from the quantization of angular momentum and calculated the Bekenstein–Hawking entropy of RN black hole. We also investigate the change of entropy between two nearby states approaches to zero for large quantum numbers.

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