Wigner Rotation of a Spin 1/2 Particle near the Event Horizon of a Schwarzschild Black Hole

2007 ◽  
Vol 51 (2) ◽  
pp. 470-474
Author(s):  
D. Ahn
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Schwarzschild Black Hole ◽  
Wigner Rotation

scholarly journals THE MILNE SPACETIME AND THE HADRONIC RINDLER HORIZON

2010 ◽  
Vol 19 (08n10) ◽  
pp. 1379-1384 ◽  
Author(s):  
H. CULETU
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Time Dependent ◽  
Anisotropic Fluid ◽  
Direct Relation ◽  
Schwarzschild Black Hole ◽  
Black Hole Interior ◽  
Flat Metric ◽  
Shear Tensor ◽  
Hadronic Rindler Horizon

A direct relation between the time-dependent Milne geometry and the Rindler spacetime is shown. Milne's metric corresponds to the region beyond Rindler's event horizon (in the wedge t ≻ |x|). We point out that inside a Schwarzschild black hole and near its horizon, the metric may be Milne's flat metric. It was found that the shear tensor associated to a congruence of fluid particles of the RHIC expanding fireball has the same structure as that corresponding to the anisotropic fluid from the black hole interior, even though the latter geometry is curved.

scholarly journals The (A)symmetry between the Exterior and Interior of a Schwarzschild Black Hole

2018 ◽  
Author(s):  
Pawel Gusin ◽  
Andy Augousti ◽  
Filip Formalik ◽  
Andrzej Radosz
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Equations Of Motion ◽  
Coordinate Systems ◽  
Schwarzschild Black Hole ◽  
Schwarzschild Spacetime ◽  
The Relationship

A black hole in a Schwarzschild spacetime is considered. A transformation is proposed that describes the relationship between the coordinate systems exterior and interior to an event horizon. Application of this transformation permits considerations of the (a)symmetry of a range of phenomena taking place on both sides of the event horizon. The paper investigates two distinct problems of a uniformly accelerated particle. In one of these, although the equations of motion are the same in the regions on both sides, the solutions turn out to be very different. This manifests the differences of the properties of these two ranges.

scholarly journals Statistical Approach to the Bekenstein-Hawking Entropy

2021 ◽  
Author(s):  
José Hernández Ramírez
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Statistical Approach ◽  
Canonical Ensemble ◽  
Schwarzschild Black Hole

Abstract We consider a Schwarzschild black hole type in this work whose particles, only those that lies on its surface, the event horizon (r+), contributes to the entropy and we found it by using the canonical ensemble. We don’t consider any interaction between this particles, but the inner energy.

scholarly journals Local free-fall temperature of modified Schwarzschild black hole in rainbow spacetime

2016 ◽  
Vol 31 (17) ◽  
pp. 1650106 ◽  
Author(s):  
Yong-Wan Kim ◽  
Young-Jai Park
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Test Particle ◽  
Free Fall ◽  
Local Temperature ◽  
Schwarzschild Black Hole ◽  
Energy Formula ◽  
Fall Temperature ◽  
Flat Embedding

We obtain a (5+1)-dimensional global flat embedding of modified Schwarzschild black hole in rainbow gravity. We show that local free-fall temperature in rainbow gravity, which depends on different energy [Formula: see text] of a test particle, is finite at the event horizon for a freely falling observer, while local temperature is divergent at the event horizon for a fiducial observer. Moreover, these temperatures in rainbow gravity satisfy similar relations to those of the Schwarzschild black hole except the overall factor [Formula: see text], which plays a key role of rainbow functions in this embedding approach.

scholarly journals THE EVENT HORIZON OF THE SCHWARZSCHILD BLACK HOLE IN NONCOMMUTATIVE SPACES

2006 ◽  
Vol 15 (07) ◽  
pp. 1113-1117 ◽  
Author(s):  
FOROUGH NASSERI
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Lower Limit ◽  
Second Order ◽  
Schwarzschild Black Hole ◽  
Perturbative Calculations ◽  
First Order ◽  
Noncommutative Spaces

The event horizon of the Schwarzschild black hole is obtained in noncommutative spaces up to the second order of perturbative calculations. Because this type of black hole is non-rotating, to the first order there is no effect on the event horizon due to the noncommutativity of space. A lower limit for the noncommutativity parameter is also obtained. As a result, the event horizon in noncommutative spaces is less than the event horizon in commutative spaces.

scholarly journals Wave properties of plasma surrounding the event horizon of a nonrotating black hole

2008 ◽  
Vol 86 (11) ◽  
pp. 1265-1285 ◽  
Author(s):  
M Sharif ◽  
G Mustafa
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Schwarzschild Black Hole ◽  
Magnetohydrodynamics Equations ◽  
Normal Dispersion ◽  
Isothermal Plasma ◽  
General Relativistic ◽  
Relativistic Magnetohydrodynamics ◽  
Wave Properties ◽  
Complex Dispersion

We study the wave properties of a cold isothermal plasma in the vicinity of a Schwarzschild black-hole event horizon. The Fourier-analyzed perturbed 3+1 general relativistic magnetohydrodynamics equations are examined such that the complex dispersion relations are obtained for nonrotating, rotating nonmagnetized, and rotating magnetized backgrounds. The propagation and attenuation vectors along with the refractive index are obtained (shown graphically) to study the dispersive properties of the medium near the event horizon. The results show that no information can be obtained from the Schwarzschild magnetosphere. Further, the pressure stops the existence of normal dispersion of waves.PACS Nos.: 95.30.Sf, 95.30.Qd, 04.30.Nk

scholarly journals Interior volume of (1 + D)-dimensional Schwarzschild black hole

2018 ◽  
Vol 33 (02) ◽  
pp. 1850011 ◽  
Author(s):  
Nilanjandev Bhaumik ◽  
Bibhas Ranjan Majhi
Keyword(s):  
Black Hole ◽  
Event Horizon ◽  
Hawking Radiation ◽  
Mass Change ◽  
Dimensional Case ◽  
Schwarzschild Black Hole ◽  
Interesting Point ◽  
Increase Rate ◽  
Spatial Dimensions ◽  
Interior Volume

We calculate the maximum interior volume, enclosed by the event horizon, of a [Formula: see text]-dimensional Schwarzschild black hole. Taking into account the mass change due to Hawking radiation, we show that the volume increases towards the end of the evaporation. This fact is not new as it has been observed earlier for four-dimensional case. The interesting point we observe is that this increase rate decreases towards the higher value of space dimensions [Formula: see text]; i.e. it is a decelerated expansion of volume with the increase of spatial dimensions. This implies that for a sufficiently large [Formula: see text], the maximum interior volume does not change. The possible implications of these results are also discussed.

scholarly journals The Schwarzschild black hole in f(R) can exist superradiation phenomenon

2021 ◽  
Author(s):  
Wen-Xiang Chen
Keyword(s):  
Black Hole ◽  
Boundary Conditions ◽  
Event Horizon ◽  
Potential Barrier ◽  
Coordinate Transformation ◽  
Black Hole Thermodynamics ◽  
Incident Particle ◽  
Schwarzschild Black Hole ◽  
Relationship Of ◽  
The Relationship

For the relationship of the limit $y$ of the incident particle under the superradiance of the preset boundary (${\mu} = {y}{\omega}$),we find the relationship between black hole thermodynamics and superradiation, and use boundary conditions to establish the relationship between y and R. One of the modes under f(R) gravity,there is a possible solution.When r tends to infinity, as a coordinate transformation, y tends to 0. At that time, there is a potential barrier near the event horizon, that is, the Schwarzschild black hole under f(R) gravitation has superradiation at that time.

Fermion tunneling, Instability and First Law of Rindler Modified Schwarzschild Black Hole as a Thermodynamic system

2020 ◽  
Author(s):  
S. Fatemeh Mirekhtiary ◽  
I. Sakalli ◽  
V. Bashiry
Keyword(s):  
Thermal Stability ◽  
Black Hole ◽  
Cosmological Constant ◽  
Event Horizon ◽  
Quantum Tunneling ◽  
Thermodynamic System ◽  
Unstable System ◽  
Schwarzschild Black Hole ◽  
Rindler Acceleration ◽  
Thermal Stability Of

This study investigated quantum tunneling of spin half particles through the event horizon of Rindler modified Schwarzschild black hole (RMSBH) in the presence of quintessence matter. We analyzed the thermodynamics of RMSBH in the Kiselev coordinates. Particularly, exploring RMSBH's entropy and the thermal stability of the RMSBH. We showed that RMSBH serves an unstable system causing fluctuations. The integral formulation of the first law of RMSBH in the absence of cosmological constant was also represented. By using the first law, we finally studied the Ruppeiner geometry for Rindler acceleration and pressure with fixed ensembles .

Sign in / Sign up

Export Citation Format

Share Document