Leading order of quantum corrections to black hole entropy sum relations

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.

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

International Journal of Modern Physics D ◽

10.1142/s0218271806008954 ◽

2006 ◽

Vol 15 (10) ◽

pp. 1561-1572 ◽

Cited By ~ 1

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.

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

Modern Physics Letters A ◽

10.1142/s0217732399000286 ◽

1999 ◽

Vol 14 (04) ◽

pp. 239-246 ◽

Cited By ~ 13

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.

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QUANTUM CORRECTIONS TO THE ENTROPY OF EXTREME REISSNER–NORDSTRÖM BLACK HOLES

Modern Physics Letters A ◽

10.1142/s0217732301003127 ◽

2001 ◽

Vol 16 (08) ◽

pp. 489-495

Author(s):

WEIGANG QIU ◽

JIANJUN XU ◽

RU-KENG SU ◽

BIN WANG

Keyword(s):

Black Holes ◽

Black Hole ◽

Electromagnetic Field ◽

Scalar Field ◽

Black Hole Entropy ◽

Quantum Corrections ◽

Brick Wall ◽

Wall Model ◽

Brick Wall Model ◽

Extreme Black Holes

Using brick wall model, the first quantum corrections to the extreme Reissner–Nordström black hole entropy due to scalar field as well as electromagnetic field have been calculated. Different quantum entropy values have been obtained for two different kinds of extreme black holes.

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Area Entropy and Quantized Mass of Black Holes from Information Theory

Entropy ◽

10.3390/e23070858 ◽

2021 ◽

Vol 23 (7) ◽

pp. 858

Author(s):

Dongshan He ◽

Qingyu Cai

Keyword(s):

Information Theory ◽

Black Hole ◽

Black Hole Entropy ◽

Quantum Corrections ◽

Compton Wavelength ◽

Information Theoretic ◽

Curved Space ◽

Thermodynamic Entropy ◽

Hole Area ◽

The Relationship

In this paper, we present a derivation of the black hole area entropy with the relationship between entropy and information. The curved space of a black hole allows objects to be imaged in the same way as camera lenses. The maximal information that a black hole can gain is limited by both the Compton wavelength of the object and the diameter of the black hole. When an object falls into a black hole, its information disappears due to the no-hair theorem, and the entropy of the black hole increases correspondingly. The area entropy of a black hole can thus be obtained, which indicates that the Bekenstein–Hawking entropy is information entropy rather than thermodynamic entropy. The quantum corrections of black hole entropy are also obtained according to the limit of Compton wavelength of the captured particles, which makes the mass of a black hole naturally quantized. Our work provides an information-theoretic perspective for understanding the nature of black hole entropy.

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Black hole hair removal for N = 4 CHL models

Journal of High Energy Physics ◽

10.1007/jhep02(2021)125 ◽

2021 ◽

Vol 2021 (2) ◽

Author(s):

Subhroneel Chakrabarti ◽

Suresh Govindarajan ◽

P. Shanmugapriya ◽

Yogesh K. Srivastava ◽

Amitabh Virmani

Keyword(s):

Black Holes ◽

Black Hole ◽

Degrees Of Freedom ◽

Microscopic Analysis ◽

Flat Space ◽

Special Care ◽

Hair Removal ◽

Partition Functions ◽

Rotating Black Holes

Abstract Although BMPV black holes in flat space and in Taub-NUT space have identical near-horizon geometries, they have different indices from the microscopic analysis. For K3 compactification of type IIB theory, Sen et al. in a series of papers identified that the key to resolving this puzzle is the black hole hair modes: smooth, normalisable, bosonic and fermionic degrees of freedom living outside the horizon. In this paper, we extend their study to N = 4 CHL orbifold models. For these models, the puzzle is more challenging due to the presence of the twisted sectors. We identify hair modes in the untwisted as well as twisted sectors. We show that after removing the contributions of the hair modes from the microscopic partition functions, the 4d and 5d horizon partition functions agree. Special care is taken to present details on the smoothness analysis of hair modes for rotating black holes, thereby filling an essential gap in the literature.

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NONCRITICAL BOSONIC STRING CORRECTIONS TO THE BLACK HOLE ENTROPY

Modern Physics Letters A ◽

10.1142/s0217732395001307 ◽

1995 ◽

Vol 10 (17) ◽

pp. 1187-1193 ◽

Cited By ~ 2

Author(s):

E. ELIZALDE ◽

S.D. ODINTSOV

Keyword(s):

Field Theory ◽

Black Hole ◽

Black Hole Entropy ◽

Bosonic String ◽

Quantum Corrections ◽

Modular Invariance ◽

Large Black Hole ◽

String Corrections

We calculate the quantum corrections to the entropy of a very large black hole, coming from the theory of a D-dimensional, noncritical bosonic string. We show that for D>2, as a result of modular invariance the entropy is uv finite though it diverges in the ir (while for D=2 the entropy contains both uv and ir divergences). The issue of modular invariance in field theory, in connection with black hole entropy, is also investigated.

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EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES

Modern Physics Letters A ◽

10.1142/s0217732395002234 ◽

1995 ◽

Vol 10 (28) ◽

pp. 2081-2093 ◽

Cited By ~ 268

Author(s):

ASHOKE SEN

Keyword(s):

Black Holes ◽

Black Hole ◽

Black Hole Entropy ◽

Extremal Black Hole ◽

Coupling Constant ◽

Left Handed ◽

Quantum Numbers ◽

Independent Parameters ◽

Elementary String ◽

Extremal Black Holes

Some of the extremal black hole solutions in string theory have the same quantum numbers as the Bogomol’nyi saturated elementary string states. We explore the possibility that these black holes can be identified with elementary string excitations. It is shown that stringy effects could correct the Bekenstein-Hawking formula for the black hole entropy in such a way that it correctly reproduces the logarithm of the density of elementary string states. In particular, this entropy has the correct dependence on three independent parameters, the mass and the left-handed charge of the black hole, and the string coupling constant.

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Weak Deflection Angle of some Classes of non-linear Electrodynamics Black Holes via Gauss-Bonnet Theorem

10.20944/preprints202008.0370.v1 ◽

2020 ◽

Author(s):

Hasan El Moumni ◽

Karima Masmar ◽

Ali Övgün

Keyword(s):

Black Holes ◽

Black Hole ◽

Gravitational Lensing ◽

Deflection Angle ◽

Weak Field ◽

Leading Order ◽

Plasma Medium ◽

Non Linear ◽

The Deflection Angle ◽

Bonnet Theorem

In this paper, we study the gravitational lensing by some black hole classes within the non-linear electrodynamics in weak field limits. First, we calculate an optical geometry of the non-linear electrodynamics black hole then we use the Gauss-Bonnet theorem for finding deflection angle in weak field limits. The effect of non-linear electrodynamics on the deflection angle in leading order terms is studied. Furthermore, we discuss the effects of the plasma medium on the weak deflection angle.

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