scholarly journals Thermodynamics of BTZ black holes in gravity’s rainbow

2017 ◽  
Vol 32 (15) ◽  
pp. 1750076 ◽  
Author(s):  
Salwa Alsaleh
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Free Energy ◽  
Quantum Gravity ◽  
Critical Behavior ◽  
Loop Quantum Gravity ◽  
Temperature Deformation ◽  
Btz Black Hole ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow

In this paper, we deform the thermodynamics of a BTZ black hole from rainbow functions in gravity’s rainbow. The rainbow functions will be motivated from the results in loop quantum gravity and noncommutative geometry. It will be observed that the thermodynamics gets deformed due to these rainbow functions, indicating the existence of a remnant. However, the Gibbs free energy does not get deformed due to these rainbow functions, and so the critical behavior from Gibbs does not change by this deformation. This is because the deformation in the entropy cancels out the temperature deformation.

scholarly journals Logarithmic correction of the BTZ black hole and adaptive model of graphene

2018 ◽  
Vol 27 (12) ◽  
pp. 1850118 ◽  
Author(s):  
Behnam Pourhassan ◽  
Mir Faizal ◽  
S. Ahmad Ketabi
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Correction Term ◽  
Thermal Fluctuations ◽  
Logarithmic Correction ◽  
Adaptive Model ◽  
Btz Black Hole ◽  
The Real ◽  
Almost All

It is known that almost all approaches to quantum gravity produce a logarithmic correction term to the entropy of a black hole, but the exact coefficient of such a term varies between the different approach to quantum gravity. Such logarithmic terms can also occur due to thermal fluctuations in both analogous and real black holes so that we will analyze the effects of logarithmic corrections term with variable coefficient on properties of analogous black hole. As these properties can be experimentally tested, they can be used to obtain the correct coefficient for such terms for an analogous black hole. We will argue that as even the real black holes can be considered as thermodynamical objects in Jacobson formalism, so such analogous black holes can be used to obtain the correct coefficient for the real black holes, and this in turn can be used to select the correct approach to quantum gravity. In that case, we use an adaptive model of graphene, which is still far from real graphene, to investigate some thermodynamics quantities of BTZ black hole.

Entropy relations and bounds of BTZ black hole in gravity's rainbow

2019 ◽  
Vol 28 (08) ◽  
pp. 1950109
Author(s):  
Tairan Liang ◽  
Wei Tang ◽  
Wei Xu
Keyword(s):  
Black Hole ◽  
Black Hole Entropy ◽  
Cauchy Horizon ◽  
Btz Black Hole ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Entropy Product ◽  
Entropy Bound ◽  
Entropy Bounds ◽  
Mass Dependent

In this paper, we present the entropy relations and bounds of Banados–Teitelboim–Zanelli (BTZ) black hole in two models of gravity's rainbow. Because of the effect of gravity's rainbow, one can find that the entropy product and sum both lost their universality and become mass-dependent. On the other hand, comparing the entropy bound of event horizon to the BTZ case, it is shown that the angular momentum [Formula: see text] enlarges the entropy bound while the gravity's rainbow parameter [Formula: see text] diminishes it. For the entropy bound of Cauchy horizon, the gravity's rainbow parameter [Formula: see text] enlarges it at the large [Formula: see text] limit, while [Formula: see text] diminishes it at the small [Formula: see text] limit. These suggest some clues on the geometrical origin of black hole entropy bounds.

Quantum gravity effects on spectroscopy of Kerr-Newman black hole in gravity’s rainbow

2021 ◽  
Author(s):  
Chengzhou Liu ◽  
Jin-Jun Tao
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Event Horizon ◽  
Planck Scale ◽  
Area Spectrum ◽  
Entropy Spectrum ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Gravity Effects ◽  
Newman Black Hole

Abstract Quantum gravity effects on spectroscopy for the charged rotating gravity’s rainbow are investigated. By utilizing an action invariant obtained from particles tunneling through the event horizon, the entropy and area spectrum for the modified Kerr-Newman black hole are derived. The equally spaced entropy spectrum characteristic of Bekenstein’s original derivation is recovered. And, the entropy spectrum is independent of the energy of the test particles, although the gravity’s rainbow itself is the energy dependent. Such, the quantum gravity effects of gravity’s rainbow has no influence on the entropy spectrum. On the other hand, due to the spacetime quantum effects, the obtained area spectrum is different from the original Bekenstein spectrum. It is not equidistant and has the dependence on the horizon area. And that, by analyzing the area spectrum from a specific rainbow functions, a minimum area with Planck scale is derived for the event horizon. At this, the area quantum is zero and the black hole radiation stops. Thus, the black hole remnant for the gravity’s rainbow is obtained from the area quantization. In addition, the entropy for the modified Kerr-Newman black hole is calculated and the quantum correction to the area law is obtained and discussed.

scholarly journals Statistical entropy of a BTZ black hole from loop quantum gravity

2013 ◽  
Vol 2013 (5) ◽  
Author(s):  
Ernesto Frodden ◽  
Marc Geiller ◽  
Karim Noui ◽  
Alejandro Perez
Keyword(s):  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Statistical Entropy ◽  
Btz Black Hole

scholarly journals Black holes thermodynamics in a new kind of noncommutative geometry

2018 ◽  
Vol 27 (05) ◽  
pp. 1850053 ◽  
Author(s):  
Mir Faizal ◽  
R. G. G. Amorim ◽  
S. C. Ulhoa
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Noncommutative Geometry ◽  
Star Product ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Corrected Entropy ◽  
New Energy ◽  
Energy Dependent ◽  
Black Hole Solutions

Motivated by the energy-dependent metric in gravity’s rainbow, we will propose a new kind of energy-dependent noncommutative geometry. It will be demonstrated that like gravity’s rainbow, this new noncommutative geometry is described by an energy-dependent metric. We will analyze the effect of this noncommutative deformation on the Schwarzschild black holes and Kerr black holes. We will perform our analysis by relating the commutative and this new energy-dependent noncommutative metrics using an energy-dependent Moyal star product. We will also analyze the thermodynamics of these new noncommutative black hole solutions. We will explicitly derive expression for the corrected entropy and temperature for these black hole solutions. It will be demonstrated that, for these deformed solutions, black remnants cannot form. This is because these corrections increase rather than reduce the temperature of the black holes.

scholarly journals BLACK HOLE STATE COUNTING IN LOOP QUANTUM GRAVITY

2011 ◽  
Vol 26 (24) ◽  
pp. 1817-1823 ◽  
Author(s):  
A. GHOSH ◽  
P. MITRA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
The Other ◽  
Hole State ◽  
Flux Quantum ◽  
Spin Network ◽  
Quantum Numbers

The two ways of counting microscopic states of black holes in the U(1) formulation of loop quantum gravity: one counting all allowed spin network labels j, m and the other only m labels, are discussed in some detail. The constraints on m are clarified and the map between the flux quantum numbers and m discussed. Configurations with |m|=j, which are sometimes sought after, are shown to be important only when large areas are involved. The discussion is extended to the SU(2) formulation.

INFORMATION-THEORETIC CORRECTIONS TO BLACK HOLE AREA QUANTISATION

2009 ◽  
Vol 24 (18n19) ◽  
pp. 3561-3563
Author(s):  
RAJESH R. PARWANI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Fine Structure ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Area Spectrum ◽  
Information Theoretic ◽  
Hole Area

Nonlinear corrections are proposed to the discrete equispaced area spectrum of quantum black holes obtained previously in some quantisation schemes. It is speculated that such a modified spectrum might be related to the fine structure found using the loop quantum gravity approach.

Quantum corrections to thermodynamics of BTZ black hole

2019 ◽  
Vol 34 (11) ◽  
pp. 1950063 ◽  
Author(s):  
Nadeem-ul-islam ◽  
Prince A. Ganai
Keyword(s):  
Black Hole ◽  
Comparative Analysis ◽  
String Theory ◽  
Quantum Gravity ◽  
Loop Quantum Gravity ◽  
Quantum Corrections ◽  
Leading Order ◽  
Btz Black Hole ◽  
Thermodynamic Variables

The motivation behind this study is to enumerate the leading order corrections to the thermodynamics of BTZ black hole (named after three scientists; Banados, Teitelboim, and Zanelli). We first analyze the effect of quantum corrections (motivated from string theory and loop quantum gravity) on various thermodynamic variables for uncharged and stationary BTZ black hole. We, later on, endow charges and rotations to the same black hole and rederive all the expressions once again. The comparative analysis is done between the corrected and uncorrected thermodynamics via plots.

scholarly journals Critical behavior of charged black holes in Gauss-Bonnet gravity’s rainbow

2016 ◽  
Vol 94 (2) ◽  
Author(s):  
Seyed Hossein Hendi ◽  
Shahram Panahiyan ◽  
Behzad Eslam Panah ◽  
Mir Faizal ◽  
Mehrab Momennia
Keyword(s):  
Black Holes ◽  
Critical Behavior ◽  
Charged Black Holes ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow
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