scholarly journals Quantum gravity of Kerr-Schild spacetimes and the logarithmic correction to Schwarzschild black hole entropy

2016 ◽  
Vol 2016 (5) ◽  
Author(s):  
Basem Kamal El-Menoufi
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Black Hole Entropy ◽  
Logarithmic Correction ◽  
Schwarzschild Black Hole

scholarly journals ENTROPY AND AREA IN LOOP QUANTUM GRAVITY

2005 ◽  
Vol 14 (12) ◽  
pp. 2301-2305
Author(s):  
JOHN SWAIN
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Maximum Entropy ◽  
Degrees Of Freedom ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy ◽  
Black Hole Thermodynamics ◽  
Three Dimensions ◽  
Spin Network

Black hole thermodynamics suggests that the maximum entropy that can be contained in a region of space is proportional to the area enclosing it rather than its volume. We argue that this follows naturally from loop quantum gravity and a result of Kolmogorov and Bardzin' on the the realizability of networks in three dimensions. This represents an alternative to other approaches in which some sort of correlation between field configurations helps limit the degrees of freedom within a region. It also provides an approach to thinking about black hole entropy in terms of states inside rather than on its surface. Intuitively, a spin network complicated enough to imbue a region with volume only lets that volume grow as quickly as the area bounding it.

Effect of post-Newtonian-like self-energy, quantum gravity and exchange correlations on Schwarzschild black hole: Application of uncertainty principle

2020 ◽  
Vol 35 (11) ◽  
pp. 2050081
Author(s):  
Baljeet Kaur Lotte ◽  
Subodha Mishra
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Correlation Energy ◽  
Particle System ◽  
Gravitational Interaction ◽  
Schwarzschild Black Hole ◽  
Loop Contribution ◽  
Exchange Correlation ◽  
Self Energy ◽  
Energy Quantum

The expressions for the corrected radius and the Hawking temperature of a Schwarzschild black hole are derived by calculating the total energy of a self-gravitating system of N fermions when the corrections to gravitational interaction due to post-Newtonian-like self-energy due to two graviton exchange- and one-loop contribution of quantum gravity effect are included. Since the particles are fermions, the exchange-correlation energy is also included consistently. It is found that though the three corrections are small, the correction due to the exchange-correlation is much more than the other two. The configuration of the many-particle system that we study is possible since it has no Buchdahl limit in the post-Newtonian approximation.

Thermal relativity, corrections to black hole entropy, Born’s reciprocal relativity theory, and quantum gravity

2019 ◽  
Vol 97 (12) ◽  
pp. 1309-1316 ◽  
Author(s):  
Carlos Castro Perelman
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Black Hole Entropy ◽  
Relativity Theory ◽  
Yang Mills ◽  
Newman Black Hole ◽  
Maximal Speed ◽  
The Many ◽  
Minimal Mass ◽  
Novel Applications

Starting with a brief description of Born’s reciprocal relativity theory (BRRT), based on a maximal proper force, maximal speed of light, and inertial and non-inertial observers, we derive the exact thermal relativistic corrections to the Schwarzschild, Reissner–Nordstrom, and Kerr–Newman black hole entropies and provide a detailed analysis of the many novel applications and consequences to the physics of black holes, quantum gravity, minimal area, minimal mass, Yang–Mills mass gap, information paradox, arrow of time, dark matter, and dark energy. We finish by outlining our proposal towards a space–time–matter unification program where matter can be converted into spacetime quanta and vice versa.

scholarly journals Black-hole entropy in loop quantum gravity and number theory

2010 ◽  
Vol 88 (3) ◽  
pp. 223-225
Author(s):  
J. Manuel García-Islas
Keyword(s):  
Black Hole ◽  
Number Theory ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy

We show that counting different configurations that give rise to black-hole entropy in loop quantum gravity is related to partitions in number theory.

scholarly journals WILSONIAN BLACK HOLE ENTROPY IN QUANTUM GRAVITY

1996 ◽  
Vol 11 (16) ◽  
pp. 2823-2834
Author(s):  
SERGEI D. ODINTSOV ◽  
YONGSUNG YOON
Keyword(s):  
Black Hole ◽  
Renormalization Group ◽  
Quantum Gravity ◽  
Black Hole Entropy ◽  
Conformal Factor ◽  
Infrared Region ◽  
Coupling Constants ◽  
Effective Theory ◽  
Free Form ◽  
Renormalization Group Equations

Using the Wilsonian procedure (renormalization group improvement) we discuss the finite quantum corrections to black hole entropy in renormalizable theories. In this way, the Wilsonian black hole entropy is found for GUT’s (of asymptotically free form, in particular) and for the effective theory for the conformal factor aiming to describe quantum gravity in the infrared region. The off-critical regime (where the coupling constants are running) for the effective theory for the conformal factor in quantum gravity (with or without torsion) is explicitly constructed. The corresponding renormalization group equations for the effective couplings are found using the Schwinger-DeWitt technique for the calculation of the divergences of the fourth order operator.

scholarly journals BOUND OF NONCOMMUTATIVITY PARAMETER BASED ON BLACK HOLE ENTROPY

2010 ◽  
Vol 25 (38) ◽  
pp. 3213-3218 ◽  
Author(s):  
WONTAE KIM ◽  
DAEHO LEE
Keyword(s):  
Black Hole ◽  
Gauge Group ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Statistical Entropy ◽  
Schwarzschild Black Hole ◽  
Cutoff Parameter ◽  
Entropy Satisfying ◽  
Area Law ◽  
Wall Method

We study the bound of the noncommutativity parameter in the noncommutative Schwarzschild black hole which is a solution of the noncommutative ISO(3, 1) Poincaré gauge group. The statistical entropy satisfying the area law in the brick wall method yields a cutoff relation which depends on the noncommutativity parameter. Requiring both the cutoff parameter and the noncommutativity parameter to be real, the noncommutativity parameter can be shown to be bounded as Θ > 8.4 × 10-2lp.

scholarly journals Loop quantum gravity and Planck-size black hole entropy

2007 ◽  
Vol 68 ◽  
pp. 012031 ◽  
Author(s):  
Alejandro Corichi ◽  
Jacobo Díaz-Polo ◽  
Enrique Fernández-Borja
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Black Hole Entropy

Black Hole Entropy from Non-Commutative Geometry and Spontaneous Localisation

2019 ◽  
Author(s):  
Tejinder P. Singh ◽  
Palemkota Maithresh
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Entangled State ◽  
Schwarzschild Black Hole ◽  
Spectral Action ◽  
Black Hole Evaporation ◽  
Gravitational Action ◽  
Fluctuation Dissipation ◽  
Fluctuation Dissipation Theorem ◽  
Gravitational Entropy

In our recently proposed theory of quantum gravity, a black hole arises from the spontaneous localisation of an entangled state of a large number of atoms of space-time-matter [STM]. Prior to localisation, the non-commutative curvature of an STM atom is described by the spectral action of non-commutative geometry. By using the techniques of statistical thermodynamics from trace dynamics, we show that the gravitational entropy of a Schwarzschild black hole results from the microstates of the entangled STM atoms and is given (subject to certain assumptions) by the classical Euclidean gravitational action. This action, in turn, equals the Bekenstein-Hawking entropy (Area/$4{L_P}^2$) of the black hole. We argue that spontaneous localisation is related to black-hole evaporation through the fluctuation-dissipation theorem.

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