scholarly journals Quantum work and information geometry of a quantum Myers-Perry black hole

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Behnam Pourhassan ◽  
Salman Sajad Wani ◽  
Saheb Soroushfar ◽  
Mir Faizal
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Information Geometry ◽  
Quantum Corrections ◽  
Small Quantum ◽  
Jarzynski Equality ◽  
Perturbative Quantum ◽  
The Stability ◽  
Information Metrics ◽  
Perturbative Corrections

Abstract In this paper, we will obtain quantum work for a quantum scale five dimensional Myers-Perry black hole. Unlike heat represented by Hawking radiation, the quantum work is represented by a unitary information preserving process, and becomes important for black holes only at small quantum scales. It will be observed that at such short distances, the quantum work will be corrected by non-perturbative quantum gravitational corrections. We will use the Jarzynski equality to obtain this quantum work modified by non-perturbative quantum gravitational corrections. These non-perturbative corrections will also modify the stability of a quantum Myers-Perry black hole. We will define a quantum corrected information geometry by incorporating the non-perturbative quantum corrections in the information geometry of a Myers-Perry black hole. We will use several different quantum corrected effective information metrics to analyze the stability of a quantum Myers-Perry black hole.

scholarly journals Quantum corrections to the thermodynamics of black branes

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Behnam Pourhassan ◽  
Mir Faizal
Keyword(s):  
Specific Heat ◽  
Quantum Corrections ◽  
Thermodynamic Quantities ◽  
Perturbative Quantum ◽  
The Stability ◽  
Perturbative Corrections

Abstract In this paper we study the thermodynamics of black branes at quantum scales. We analyze both perturbative and non-perturbative corrections to the thermodynamics of such black branes. It will be observed that these corrections will modify the relation between the entropy and area of these black branes. This will in turn modify their specific heat, and thus their stability. So, such corrections can have important consequences for the stability of black branes at quantum scales. We also analyze the effect of these perturbative and non-perturbative quantum corrections on various other thermodynamic quantities. Then, we obtain the metric for the quantum corrected geometry for black branes.

scholarly journals Superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
Jia-Hui Huang ◽  
Tian-Tian Cao ◽  
Mu-Zi Zhang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Numerical Methods ◽  
Effective Potential ◽  
Scalar Perturbation ◽  
Polynomial Equations ◽  
Potential Well ◽  
Massive Scalar ◽  
Higher Dimensional ◽  
The Stability

AbstractWe revisit the superradiant stability of five and six-dimensional extremal Reissner–Nordstrom black holes under charged massive scalar perturbation with a new analytical method. In each case, it is analytically proved that the effective potential experienced by the scalar perturbation has only one maximum outside the black hole horizon and no potential well exists for the superradiance modes. So the five and six-dimensional extremal Reissner–Nordstrom black holes are superradiantly stable. The new method we developed is based on the Descartes’ rule of signs for the polynomial equations. Our result provides a complementary support of previous studies on the stability of higher dimensional extremal Reissner–Nordstrom black holes based on numerical methods.

Phase transition in decaying black holes

2020 ◽  
Vol 35 (31) ◽  
pp. 2050258
Author(s):  
Aloke Kumar Sinha
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Quantum Black Hole ◽  
Dimensional Spacetime ◽  
The Stability ◽  
Derivatives Of ◽  
Physical Quantities ◽  
Thermal Stability Of

We had earlier derived the most general criteria for thermal stability of a quantum black hole, with arbitrary number of parameters, in any dimensional spacetime. These conditions appeared in form of a series of inequalities connecting second order derivatives of black hole mass with respect to its parameters. Some black holes like asymptotically flat rotating charged black holes do not satisfy all the stability criteria simultaneously, but do satisfy some of them in certain region of parameter space. They are known as “Quasi Stable” black holes. In this paper, we will show that quasi stable black holes although ultimately decay under Hawking radiation undergo phase transitions. These phase transitions are different from phase transition in ADS Schwarzschild black hole. These are marked by sign changes in certain physical quantities apart from specific heat of the black hole. We will also discuss the changes in the nature of fluctuations of the parameters of these quasi stable black holes with different phases.

Leading order of quantum corrections to black hole entropy sum relations

2019 ◽  
Vol 34 (32) ◽  
pp. 1950216
Author(s):  
Tairan Liang ◽  
Wei Xu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quantum Physics ◽  
Black Hole Entropy ◽  
Flat Space ◽  
Quantum Corrections ◽  
Leading Order ◽  
Physics Of Black Holes ◽  
Mass Dependent ◽  
Modified Entropy

It has been found recently that the entropy relations of horizons have the universality of black hole mass-independence for many black holes. These universal entropy relations have some geometric and CFT understanding, which may provide further insight into the quantum physics of black holes. In this paper, we present the leading order of black hole entropy sum relations under the quantum corrections. It is found that the modified entropy sum becomes mass-dependent for some black holes in asymptotical (A)dS and flat space–times. We also give an example that the modified entropy sum of regular Bardeen AdS black holes is mass-independent, which may be quantized in the form of the electric charge and the cosmological constant.

Thermodynamics of black holes with higher order corrected entropy

2019 ◽  
Vol 97 (7) ◽  
pp. 742-751 ◽  
Author(s):  
M. Umair Shahzad ◽  
Abdul Jawad
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Higher Order ◽  
De Sitter ◽  
Free Energies ◽  
Corrected Entropy ◽  
The Stability ◽  
Canonical Ensembles ◽  
Thermodynamical Behavior ◽  
Correction Terms

For analyzing the thermodynamical behavior of two well-known black holes, such as Reissner–Nordström – anti-de Sitter (RN-AdS) black hole with global monopole and f(R) black hole, we consider the higher order logarithmic corrected entropy. We develop various thermodynamical properties, such as entropy, specific heat, pressure, and Gibbs and Helmhotz free energies for both black holes in the presence of corrected entropy. A versatile study on the stability of black holes is made by using various frameworks, such as the ratio of heat capacities (γ), grand canonical and canonical ensembles, and phase transition in view of higher order logarithmic corrected entropy. It is observed that both black holes exhibit more stability (locally as well as globally) for growing values of cosmological constant and higher order correction terms.

BLACK HOLE ENTROPY IN STRING THEORY: GOING BEYOND BEKENSTEIN AND HAWKING

2006 ◽  
Vol 15 (10) ◽  
pp. 1561-1572 ◽  
Author(s):  
ATISH DABHOLKAR
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Recent Progress ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Corrected Entropy

In this talk I summarize some recent progress in string theory in understanding the entropy of a class of black holes including corrections to the Bekenstein–Hawking formula. The quantum corrected entropy is in precise numerical agreement with the logarithm of the number of microstates once quantum corrections are correctly taken into account.

THE QUANTUM CORRECTIONS TO THE ENTROPY OF ROTATING U(1) ⊗ U(1)-DILATON BLACK HOLES

1999 ◽  
Vol 14 (04) ◽  
pp. 239-246 ◽  
Author(s):  
YOU-GEN SHEN ◽  
DA-MING CHEN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Quantum Corrections ◽  
Brick Wall ◽  
Wall Model ◽  
Brick Wall Model ◽  
Dilaton Black Hole ◽  
Massless Quantum ◽  
Dilaton Black Holes

By using 't Hooft's brick wall model, the corrections for a massless quantum scalar field to the black hole entropy are studied in rotating U (1) ⊗ U (1)-dilaton black hole space–time. The free energy and entropy for this case are calculated, and in Hartle–Hawking states, the derived quantum entropy is composed of the geometric part and the non-geometric part which is logrithmically divergent. It turns out that the logrithmic part is related to the characteristic quantities of a black hole.

scholarly journals ON ATTRACTOR FLOW AND SMALL BLACK HOLES

2011 ◽  
Vol 26 (13) ◽  
pp. 967-974 ◽  
Author(s):  
SANJAY SIWACH ◽  
BHUPENDRA NATH TIWARI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Fixed Points ◽  
Entropy Function ◽  
Stability Conditions ◽  
Heterotic String Theory ◽  
The Stability ◽  
Horizon Geometry ◽  
Black Hole Solutions

We study the attractor flow and near horizon geometry of two-charge small black holes in heterotic string theory. The Hessian of Sen's entropy function with respect to the moduli fields has standard attractor properties and shows the interesting factorization at the attractor fixed points. We notice that the stability conditions are preserved under arbitrary α′-corrections to the black hole solutions.

scholarly journals NONLINEAR CHARGED BLACK HOLES IN AdS QUASI-TOPOLOGICAL GRAVITY

2013 ◽  
Vol 22 (13) ◽  
pp. 1350076 ◽  
Author(s):  
MOHAMMAD GHANAATIAN ◽  
AFSANEH BAZRAFSHAN
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Electromagnetic Field ◽  
Fourth Order ◽  
Naked Singularity ◽  
Charged Black Holes ◽  
Topological Parameters ◽  
Mass Temperature ◽  
Topological Gravity ◽  
The Stability

In this paper, we present the static charged solutions of quartic quasi-topological gravity in the presence of a nonlinear electromagnetic field. Two branches of these solutions present black holes with one or two horizons or a naked singularity depending on the charge and mass of the black hole. The entropy of the charged black holes of fourth-order quasi-topological gravity through the use of Wald formula is computed and the mass, temperature and the charge of these black holes are found as well. We show that black holes with spherical, flat and hyperbolical horizon in quasi-topological gravity are stable for any allowed quasi-topological parameters. We also investigate the stability of nonlinear charged black holes.

Superradiant stability of the Kerr black hole

2020 ◽  
Vol 29 (01) ◽  
pp. 2050009 ◽  
Author(s):  
Wen-Xiang Chen ◽  
Zi-Yang Huang
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Kerr Black Hole ◽  
Algebraic Methods ◽  
Stability Conditions ◽  
Parameter Region ◽  
Kerr Black Holes ◽  
The Stability ◽  
Scalar Perturbations

We know that Kerr black holes are stable for specific conditions. In this paper, we use algebraic methods to prove the stability of the Kerr black hole against certain scalar perturbations. This provides new results for the previously obtained superradiant stability conditions of Kerr black hole. Hod proved that Kerr black holes are stable to massive perturbations in the regime [Formula: see text]. In this paper, we consider some other situations of the stability of the black hole in the complementary parameter region[Formula: see text]

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