Absence of log correction in entropy of large black holes

Ghosh, Amit; Mitra, P.

doi:10.1016/j.physletb.2014.05.030

Cited by 8 publications

(7 citation statements)

References 16 publications

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“…In our case, we face similar situation where for some particular value of Q, C Q , given by equation (19), changes sign through an infinite discontinuity. These unstable to stable phase transitions classify as the second order phase transitions, quite ubiquitous in nature.…”

Section: Exponential Correctionsmentioning

confidence: 79%

“…Numerous studies have elucidated the way one accounts for these modifications via different approaches, and interestingly these corrections enter the scenario either through a perturbative or a non-perturbative framework. Perturbative methods include the microstate counting in string theory and loop quantum gravity [13][14][15][16][17], generally manifesting as logarithmic corrections, while non-perturbative methods feature as exponential corrections [18][19][20][21]. A prominent method to incorporate non-perturbative terms is by employing AdS/CFT correspondence [22] and using Kloosterman sums for massless supergravity fields near the horizon [20,23,24].…”

Section: Introductionmentioning

confidence: 99%

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On the microstructure of higher-dimensional Reissner–Nordström black holes in quantum regime

Masood A S Bukhari,

Pourhassan,

Aounallah

et al. 2023

Class. Quantum Grav.

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Thermodynamic Riemannian geometry provides great insights into the microscopic structure of black holes (BHs). One such example is the Ruppeiner geometry which is the metric space comprising the second derivatives of entropy with respect to other extensive variables of the system. Reissner–Nordström black holes (RNBHs) are known to be endowed with a flat Ruppeiner geometry for all higher spacetime dimensions. However this holds true if one invokes classical gravity where the semi-classical Bekenstein–Hawking entropy best describes the thermodynamics of the system. If the much deeper quantum gravity and string theories entail modifications to BH entropy, this prompts the question whether the Ruppeiner flatness associated with higher dimensional RNBHs still persists. We investigate this problem by considering non-perturbative (exponential) and perturbative (logarithmic) modifications to BH entropy of a 5D RNBH. We find that while the case is so for larger (classical) geometries, the situation is radically altered for smaller (quantum) geometries. Namely, we show surprising emergence of multiple phase transitions that depend on the choice of extent of corrections to BH entropy and charge. Our consideration involves differentiated extremal and non-extremal geometric scales corresponding to the validity regime of corrections to entropy. More emphasis is laid on the exponential case as the contributions become highly non-trivial on small scales. An essential critical mass scale arises in this case that marks the onset of these phase transitions while the BH diminishes in size via Hawking evaporation. We contend that this critical value of mass perhaps best translates as the epoch of a classical to quantum BH phase transition.

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Section: Exponential Correctionsmentioning

confidence: 79%

Section: Introductionmentioning

confidence: 99%

On the microstructure of higher-dimensional Reissner–Nordström black holes in quantum regime

Masood A S Bukhari,

Pourhassan,

Aounallah

et al. 2023

Class. Quantum Grav.

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“…implying that the entropy is a sum of a finite number of exponentials and thus has no scope for a logarithmic correction in A [8], though there is a correction k log involving the classical area k. This is exponential in the area, but does the correction violate the requirements?…”

Section: U(1) Loop Quantum Gravity à La Meissnermentioning

confidence: 99%

Quantum and classical areas of black hole thermodynamics

Ghosh¹,

Mitra²

2015

Class. Quantum Grav.

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Most calculations of black hole entropy in loop quantum gravity indicate a term proportional to the area eigenvalue A with a correction involving the logarithm of A. This violates the additivity of the entropy. An entropy proportional to A, with a correction term involving the logarithm of the classical area k, which is consistent with the additivity of entropy, is derived in both U(1) and SU(2) formulations. * amit.ghosh@saha.ac.in † parthasarathi.mitra@saha.ac.in

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“…The reason we divert our attention to exponential corrections is that they have been shown to be of immediate importance when a quantum black hole system is considered. On the other hand, there are instances where the logarithmic corrections don't even appear for large area values [25]. This makes the exponential term much more interesting and reliable when it comes to very high energy scales.…”

mentioning

confidence: 99%

Quantum fluctuations of a regular charged black hole in massive gravity

Desai¹,

Sharma²,

Ganai³

2022

Preprint

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We examine the thermodynamics of a regular charged black hole (RCB) added with corrections due to massive gravity and thermal fluctuations at quantum level. We then derive the expressions for all the relevant thermodynamic quantities such as entropy, Hawking's temperature, internal energy, Gibbs free energy, corrected to first-order. We also briefly discuss the stability of such a system with the help of quantities like specific heat and thermodynamic pressure, along with this we present their comparative study with the corresponding original values.

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Absence of log correction in entropy of large black holes

Cited by 8 publications

References 16 publications

On the microstructure of higher-dimensional Reissner–Nordström black holes in quantum regime

On the microstructure of higher-dimensional Reissner–Nordström black holes in quantum regime

Quantum and classical areas of black hole thermodynamics

Quantum fluctuations of a regular charged black hole in massive gravity

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