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 LOCAL FREE-FALL TEMPERATURE OF A RN–AdS BLACK HOLE

2010 ◽  
Vol 25 (15) ◽  
pp. 3107-3120 ◽  
Author(s):  
YONG-WAN KIM ◽  
JAEDONG CHOI ◽  
YOUNG-JAI PARK
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Minkowski Space ◽  
Event Horizon ◽  
Free Fall ◽  
Flat Space ◽  
Space Time ◽  
Local Temperature ◽  
Static Black Hole ◽  
Fall Temperature

We use the global embedding Minkowski space geometries of a (3+1)-dimensional curved Reissner–Nordström (RN)–AdS black hole space–time into a (5+2)-dimensional flat space–time to define a proper local temperature, which remains finite at the event horizon, for freely falling observers outside a static black hole. Our extended results include the known limiting cases of the RN, Schwarzschild–AdS and Schwarzschild black holes.

scholarly journals Free-fall energy density and flux in the Schwarzschild black hole

2015 ◽  
Vol 30 (11) ◽  
pp. 1550053 ◽  
Author(s):  
Wontae Kim ◽  
Bibhas Ranjan Majhi
Keyword(s):  
Black Hole ◽  
Energy Density ◽  
Free Fall ◽  
Negative Energy ◽  
Schwarzschild Black Hole ◽  
Spatial Infinity ◽  
Negative Energy Density ◽  
Conformally Invariant ◽  
Trace Anomaly

In the four-dimensional background of Schwarzschild black hole, we investigate the energy densities and fluxes in the freely falling frames for the Boulware, Unruh, and Israel–Hartle–Hawking states. In particular, we study their behaviors near the horizon and asymptotic spatial infinity by using the trace anomaly of a conformally invariant scalar field. In the Boulware state, both the energy density and flux are negative divergent when the observer is dropped at the horizon, and asymptotically vanish. In the Unruh state, the energy density is also negative divergent at the horizon while it is positive finite asymptotically. The flux in the Unruh state is always positive and divergent at the horizon. In the Israel–Hartle–Hawking state, the energy density depends on the angular motion of free fall, and fluxes vanish at the horizon and the spatial infinity. Finally, we discuss the role of the negative energy density near the horizon in the evaporating black hole.

scholarly journals GEODESIC STRUCTURE OF THE SCHWARZSCHILD BLACK HOLE IN RAINBOW GRAVITY

2009 ◽  
Vol 24 (18) ◽  
pp. 1443-1451 ◽  
Author(s):  
CARLOS LEIVA ◽  
JOEL SAAVEDRA ◽  
JOSÉ VILLANUEVA
Keyword(s):  
Black Hole ◽  
Test Particle ◽  
Radial Motion ◽  
Schwarzschild Black Hole ◽  
Geodesic Structure

In this paper we study the geodesic structure of the Schwarzschild black hole in rainbow gravity analyzing the behavior of null and time-like geodesic. We find that the structure of the geodesics essentially does not change when the semiclassical effects are included. However, we can distinguish different scenarios if we take into account the effects of rainbow gravity. Depending on the type of rainbow functions under consideration, inertial and external observers see very different situations in radial and non-radial motion of a test particle.

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.

Polar trajectories around a black hole in a magnetic field

1989 ◽  
Vol 67 (10) ◽  
pp. 971-973
Author(s):  
K. D. Krori ◽  
J. C. Sarmah
Keyword(s):  
Magnetic Field ◽  
Black Hole ◽  
Angular Momentum ◽  
Test Particle ◽  
Field Parameter ◽  
Schwarzschild Black Hole ◽  
Magnetic Field Parameter ◽  
Neutral Test ◽  
Test Particles ◽  
The Magnetic Field

In this paper, we present a study of the stable polar trajectories ([Formula: see text] = constant plane) of neutral test particles around a Schwarzschild black hole embedded in a magnetic field. We also show how the nature of these trajectories changes with the variation in the angular momentum of the test particle and the magnetic field parameter.

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