Area Spectrum of Black Holes with Quantum Corrections via Periodicity

2013 ◽  
Vol 53 (4) ◽  
pp. 1308-1321 ◽  
Author(s):  
Xiao-Xiong Zeng ◽  
Qiang Li ◽  
Xian-Ming Liu
Keyword(s):  
Black Holes ◽  
Quantum Corrections ◽  
Area Spectrum

Can quantum black holes be (q, p)-fermions?

2017 ◽  
Vol 32 (15) ◽  
pp. 1750080 ◽  
Author(s):  
Emre Dil
Keyword(s):  
Black Holes ◽  
Gravitational Field ◽  
Fermi Gas ◽  
Einstein Equations ◽  
Quantum Corrections ◽  
Field Equations ◽  
Gravitational Field Equations ◽  
Entropic Gravity ◽  
Two Parameter

In this study, to investigate the very nature of quantum black holes, we try to relate three independent studies: (q, p)-deformed Fermi gas model, Verlinde’s entropic gravity proposal and Strominger’s quantum black holes obeying the deformed statistics. After summarizing Strominger’s extremal quantum black holes, we represent the thermostatistics of (q, p)-fermions to reach the deformed entropy of the (q, p)-deformed Fermi gas model. Since Strominger’s proposal claims that the quantum black holes obey deformed statistics, this motivates us to describe the statistics of quantum black holes with the (q, p)-deformed fermions. We then apply the Verlinde’s entropic gravity proposal to the entropy of the (q, p)-deformed Fermi gas model which gives the two-parameter deformed Einstein equations describing the gravitational field equations of the extremal quantum black holes obeying the deformed statistics. We finally relate the obtained results with the recent study on other modification of Einstein equations obtained from entropic quantum corrections in the literature.

scholarly journals One-loop quantum corrections to the thermodynamics of charged black holes

1996 ◽  
Vol 54 (4) ◽  
pp. 2732-2745 ◽  
Author(s):  
Valeri P. Frolov ◽  
Werner Israel ◽  
Sergey N. Solodukhin
Keyword(s):  
Black Holes ◽  
Quantum Corrections ◽  
Charged Black Holes

scholarly journals Universal area spectrum in single-horizon black holes

2004 ◽  
Vol 70 (4) ◽  
Author(s):  
Takashi Tamaki ◽  
Hidefumi Nomura
Keyword(s):  
Black Holes ◽  
Area Spectrum

Universality of spectra of black holes

2014 ◽  
Vol 29 (36) ◽  
pp. 1450191 ◽  
Author(s):  
Xiao-Xiong Zeng ◽  
Qiang Li ◽  
Yi-Wen Han
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Area Spectrum ◽  
Spherically Symmetric ◽  
Action Variable ◽  
Intrinsic Properties ◽  
Entropy Spectrum ◽  
Symmetric Black Hole

Using exclusively an action variable, we quantize a static, spherically symmetric black hole. The spacings of the quantized entropy spectrum and area spectrum are found to be equal to the values given by Bekenstein. Interestingly, we find the spectra are independent of the hairs of the black holes and the mode of motion of a particle outside the spacetime, which depends only on the intrinsic properties of the gravity. Our result shows that the spectra are universal provided the spacetime owns a horizon.

scholarly journals AREA SPECTRUM OF KERR AND EXTREMAL KERR BLACK HOLES FROM QUASINORMAL MODES

2005 ◽  
Vol 20 (25) ◽  
pp. 1923-1932 ◽  
Author(s):  
MOHAMMAD R. SETARE ◽  
ELIAS C. VAGENAS
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Quasinormal Modes ◽  
Kerr Black Hole ◽  
Area Spectrum ◽  
The Real ◽  
Hole Area ◽  
Newman Black Hole ◽  
Discrete Area ◽  
Kerr Black Holes

Motivated by the recent interest in quantization of black hole area spectrum, we consider the area spectrum of Kerr and extremal Kerr black holes. Based on the proposal by Bekenstein and others that the black hole area spectrum is discrete and equally spaced, we implement Kunstatter's method to derive the area spectrum for the Kerr and extremal Kerr black holes. The real part of the quasinormal frequencies of Kerr black hole used for this computation is of the form mΩ where Ω is the angular velocity of the black hole horizon. The resulting spectrum is discrete but not as expected uniformly spaced. Thus, we infer that the function describing the real part of quasinormal frequencies of Kerr black hole is not the correct one. This conclusion is in agreement with the numerical results for the highly damped quasinormal modes of Kerr black hole recently presented by Berti, Cardoso and Yoshida. On the contrary, extremal Kerr black hole is shown to have a discrete area spectrum which in addition is evenly spaced. The area spacing derived in our analysis for the extremal Kerr black hole area spectrum is not proportional to ln 3. Therefore, it does not give support to Hod's statement that the area spectrum [Formula: see text] should be valid for a generic Kerr–Newman black hole.

scholarly journals UNIFIED APPROACH TO STUDY QUANTUM PROPERTIES OF PRIMORDIAL BLACK HOLES, WORMHOLES AND OF QUANTUM COSMOLOGY

1999 ◽  
Vol 14 (20) ◽  
pp. 1309-1316 ◽  
Author(s):  
S. NOJIRI ◽  
O. OBREGON ◽  
S. D. ODINTSOV
Keyword(s):  
Black Holes ◽  
Quantum Cosmology ◽  
Quantum Corrections ◽  
Primordial Black Holes ◽  
Unified Approach ◽  
S Wave ◽  
Singularity Problem ◽  
Wave Approximation ◽  
Quantum Properties ◽  
Large N

We review the anomaly induced effective action for dilaton coupled spinors and scalars in large-N and s-wave approximation. It may be applied to study the following fundamental problems: construction of quantum corrected black holes (BHs), inducing of primordial wormholes in the early Universe (this effect is confirmed) and the solution of initial singularity problem. The recently discovered anti-evaporation of multiple horizon BHs is discussed. The existence of such primordial BHs may be interpreted as SUSY manifestation. Quantum corrections to BHs thermodynamics may also be discussed within such scheme.

scholarly journals Aspects of Semiclassical Black Holes: Development and Open Problems

2021 ◽  
Vol 2021 ◽  
pp. 1-13
Author(s):  
Alexander Y. Yosifov
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Information Loss ◽  
Quantum Corrections ◽  
Open Problems ◽  
Naked Singularities ◽  
Geometrical Properties ◽  
Energy Quantum ◽  
Information Loss Problem ◽  
Black Hole Solutions

The current work is a review, dedicated to the study of semiclassical aspects of black holes. We begin by briefly looking at the main statements of general relativity. We then consider the Schwarzschild, Kerr, and Reissner-Nordstrom black hole solutions and discuss their geometrical properties. Later, the thermodynamic nature of black holes is established. In light of this, we formulate the information loss problem and present the most promising approaches for addressing it with emphasis on introducing low-energy quantum corrections to the classical general relativity picture. Finally, in the context of multimessenger astronomy, we look at naked singularities as possible gravitational collapse endstates and their role in the unitarity of quantum mechanics and discuss their observational prospects.

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.

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