scholarly journals Logarithmic corrections to the entropy of non-extremal black holes in $$ \mathcal{N} $$ = 1 Einstein-Maxwell supergravity

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Gourav Banerjee ◽  
Binata Panda
Keyword(s):  
Black Holes ◽  
Four Dimensions ◽  
The Third ◽  
Link Type ◽  
Logarithmic Corrections ◽  
Extremal Black Holes ◽  
Field Redefinition

Abstract We reviewed the field redefinition approach of Seeley-DeWitt expansion for the determination of Seeley-DeWitt coefficients from arXiv:1505.01156. We apply this approach to compute the first three Seeley-DeWitt coefficients for “non-minimal” $$ \mathcal{N} $$ N = 1 Einstein-Maxwell supergravity in four dimensions. Finally, we use the third coefficient for the computation of the logarithmic corrections to the Bekenstein-Hawking entropy of non-extremal black holes following arXiv:1205.0971. We determine the logarithmic corrections for non-extremal Kerr-Newman, Kerr, Reissner-Nordström and Schwarzschild black holes in “non-minimal” $$ \mathcal{N} $$ N = 1, d = 4 Einstein-Maxwell supergravity.

scholarly journals BLACK HOLES AND THE THIRD LAW OF THERMODYNAMICS

2004 ◽  
Vol 13 (04) ◽  
pp. 739-770 ◽  
Author(s):  
F. BELGIORNO ◽  
M. MARTELLINI
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Second Law Of Thermodynamics ◽  
Temperature Limit ◽  
Black Hole Thermodynamics ◽  
Zero Temperature ◽  
The Third ◽  
Third Law Of Thermodynamics ◽  
Third Law ◽  
Extremal Black Holes

We discuss in the framework of black hole thermodynamics some aspects relative to the third law in the case of black holes of the Kerr–Newman family. In the light of the standard proof of the equivalence between the unattainability of the zero temperature and the entropic version of the third law it is remarked that the unattainability has a special character in black hole thermodynamics. Also the zero temperature limit which obtained in the case of very massive black holes is discussed and it is shown that a violation of the entropic version in the charged case occurs. The violation of the Bekenstein–Hawking law in favour of zero entropy SE=0 in the case of extremal black holes is suggested as a natural solution for a possible violation of the second law of thermodynamics. Thermostatic arguments in support of the unattainability are explored, and SE=0 for extremal black holes is shown to be again a viable solution. The third law of black hole dynamics by W. Israel is then interpreted as a further strong corroboration to the picture of a discontinuity between extremal states and non-extremal ones.

scholarly journals String analog of Reissner–Nordström black holes cannot be overcharged

2019 ◽  
Vol 34 (30) ◽  
pp. 1950248 ◽  
Author(s):  
Koray Düztaş ◽  
Mubasher Jamil
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Black Hole Thermodynamics ◽  
Drop Out ◽  
Charged Black Holes ◽  
The Third ◽  
Test Particles ◽  
Third Law ◽  
Extremal Black Holes

In this work, we attempt to overcharge extremal and nearly extremal charged black holes in string theory, known as the Garfinkle–Horowitz–Strominger solution. We first show that extremal black holes cannot be overcharged analogous to the case of Reissner–Nordström (RN) black holes. Contrary to their analog in general relativity, nearly extremal black holes can neither be overcharged beyond extremality, nor can they be driven to extremality by the interaction with test particles. Therefore, the analysis in this work also implies that the third law of black hole thermodynamics holds for the relevant charged black holes in string theory perturbed by test particles. This can be interpreted as a stronger version of the third law since one can drop out the continuity proviso for the relevant process.

scholarly journals EXTREMAL BLACK HOLES AND THE LIMITS OF THE THIRD LAW

2001 ◽  
Vol 10 (01) ◽  
pp. 33-39 ◽  
Author(s):  
STEFANO LIBERATI ◽  
TONY ROTHMAN ◽  
SEBASTIANO SONEGO
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Thermodynamics ◽  
Quantum Field ◽  
Semiclassical Theory ◽  
Zero Temperature ◽  
The Third ◽  
The Status ◽  
Third Law ◽  
Extremal Black Holes

Recent results of quantum field theory on a curved spacetime suggest that extremal black holes are not thermal objects and that the notion of zero temperature is ill-defined for them. If this is correct, one may have to go to a full semiclassical theory of gravity, including backreaction, in order to make sense of the third law of black hole thermodynamics. Alternatively it is possible that we shall have to drastically revise the status of extremality in black hole thermodynamics.

scholarly journals Logarithmic corrections to black hole entropy in matter coupled $$ \mathcal{N} $$ ≥ 1 Einstein-Maxwell supergravity

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Sudip Karan ◽  
Binata Panda
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Black Hole Entropy ◽  
Logarithmic Correction ◽  
Supergravity Theory ◽  
Entropy Correction ◽  
Logarithmic Corrections ◽  
Entropy Corrections ◽  
Massless Fields ◽  
Extremal Black Holes

Abstract We calculate the first three Seeley-DeWitt coefficients for fluctuation of the massless fields of a $$ \mathcal{N} $$ N = 2 Einstein-Maxwell supergravity theory (EMSGT) distributed into different multiplets in d = 4 space-time dimensions. By utilizing the Seeley-DeWitt data in the quantum entropy function formalism, we then obtain the logarithmic correction contribution of individual multiplets to the entropy of extremal Kerr-Newman family of black holes. Our results allow us to find the logarithmic entropy corrections for the extremal black holes in a fully matter coupled $$ \mathcal{N} $$ N = 2, d = 4 EMSGT, in a particular class of $$ \mathcal{N} $$ N = 1, d = 4 EMSGT as consistent decomposition of $$ \mathcal{N} $$ N = 2 multiplets ($$ \mathcal{N} $$ N = 2 → $$ \mathcal{N} $$ N = 1) and in $$ \mathcal{N} $$ N ≥ 3, d = 4 EMSGTs by decomposing them into $$ \mathcal{N} $$ N = 2 multiplets ($$ \mathcal{N} $$ N ≥ 3 → $$ \mathcal{N} $$ N = 2). For completeness, we also obtain logarithmic entropy correction results for the non-extremal Kerr-Newman black holes in the matter coupled $$ \mathcal{N} $$ N ≥ 1, d = 4 EMSGTs by employing the same Seeley-DeWitt data into a different Euclidean gravity approach developed in [17].

scholarly journals Effects of the external string cloud on the Van der Waals-like behavior and efficiency of AdS-Schwarzschild black holes in massive gravity

2020 ◽  
Vol 35 (24) ◽  
pp. 2050203
Author(s):  
M. Ghanaatian ◽  
Mehdi Sadeghi ◽  
Hadi Ranjbari ◽  
Gh. Forozani
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Van Der Waals ◽  
Black Hole Entropy ◽  
Five Dimensions ◽  
Four Dimensions ◽  
Heat Engines ◽  
Cloud Parameter ◽  
Extremal Black Holes

In this paper, we study AdS-Schwarzschild black holes in four and five dimensions in dRGT minimally coupled to a cloud of strings. It is observed that the entropy of the string cloud and massive terms does not affect the black hole entropy. The observations about four dimensions indicate that the massive term in the presence of external string cloud cannot exhibit Van der Waals-like behavior for AdS-Schwarzschild black holes and, therefore there is only the Hawking–Page phase transition. In contrast, in five dimensions, the graviton mass modifies this behavior through the third massive term, so that a critical behavior and second-order phase transition is deduced. Also, the Joule–Thomson effect is not observed. The black hole stability conditions are also studied in four and five dimensions and a critical value for the string cloud parameter is presented. In five dimensions a degeneracy between states for extremal black holes is investigated. After studying black holes as thermodynamic systems, we consider such systems as heat engines, and finally the efficiency of them is calculated.

scholarly journals Overcharging dilaton black holes in (2 + 1) dimensions to extremality and beyond

2020 ◽  
Vol 17 (14) ◽  
pp. 2050207
Author(s):  
Koray Düztaş ◽  
Mubasher Jamil
Keyword(s):  
Black Holes ◽  
Weak Form ◽  
Cosmic Censorship ◽  
Black Hole Thermodynamics ◽  
Naked Singularities ◽  
The Third ◽  
Test Particles ◽  
Third Law ◽  
Dilaton Black Holes ◽  
Extremal Black Holes

We test whether static charged dilaton black holes in [Formula: see text] dimensions can be turned into naked singularities by sending in test particles from infinity. We derive that overcharging is possible and generic for both extremal and nearly extremal black holes. Our analysis also implies that nearly extremal charged dilaton black holes can be continuously driven to extremality and beyond, unlike nearly extremal Ban̆ados–Teitelboim–Zanelli, Kerr and Reissner–Nordström black holes which are overspun or overcharged by a discrete jump. Thus, the weak form of the cosmic censorship conjecture and the third law of black hole thermodynamics are both violated in the interaction of charged dilaton black holes in [Formula: see text] dimensions, with test particles. We also derive that there exist no points, where the heat capacity vanishes or diverges in the transition from black holes to naked singularities. The phase transitions that could potentially prevent the formation of naked singularities do not occur.

scholarly journals Gedanken experiments on nearly extremal black holes and the third law

2010 ◽  
Vol 82 (10) ◽  
Author(s):  
Goffredo Chirco ◽  
Stefano Liberati ◽  
Thomas P. Sotiriou
Keyword(s):  
Black Holes ◽  
The Third ◽  
Third Law ◽  
Extremal Black Holes

scholarly journals GAUSS-BONNET CONTRIBUTIONS TO THE ENTROPY OF EXTREMAL BLACK HOLES IN THE GAUGE-GRAVITY SECTOR

2011 ◽  
Vol 20 (supp01) ◽  
pp. 73-78
Author(s):  
ALAIN ULACIA REY
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Maxwell Theory ◽  
Four Dimensions ◽  
Higher Derivative ◽  
Static Black Hole ◽  
Gauge Gravity ◽  
Extremal Black Holes

Using the Sen's mechanism we calculate the entropy for an AdS2 × Sd-2 extremal and static black hole in four dimensions, with higher derivative terms that comes from a three parameter non-minimal Einstein-Maxwell theory. The explicit results for Gauss-Bonnet in the gauge-gravity sector are shown.

scholarly journals Gravitational footprints of black holes and their microstate geometries

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Ibrahima Bah ◽  
Iosif Bena ◽  
Pierre Heidmann ◽  
Yixuan Li ◽  
Daniel R. Mayerson
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Angular Momentum ◽  
Mass Ratio ◽  
Four Dimensions ◽  
Kerr Black Holes ◽  
Arbitrary Charge ◽  
Extremal Black Holes

Abstract We construct a family of non-supersymmetric extremal black holes and their horizonless microstate geometries in four dimensions. The black holes can have finite angular momentum and an arbitrary charge-to-mass ratio, unlike their supersymmetric cousins. These features make them and their microstate geometries astrophysically relevant. Thus, they provide interesting prototypes to study deviations from Kerr solutions caused by new horizon-scale physics. In this paper, we compute the gravitational multipole structure of these solutions and compare them to Kerr black holes. The multipoles of the black hole differ significantly from Kerr as they depend non-trivially on the charge-to-mass ratio. The horizonless microstate geometries (that are comparable in size to a black hole) have a similar multipole structure as their corresponding black hole, with deviations to the black hole multipole values set by the scale of their microstructure.

Investigations on skeletal growth zones via bone scans as base of determination of optimal time for surgery in mandibular asymmetry

2000 ◽  
Vol 39 (05) ◽  
pp. 121-126 ◽  
Author(s):  
R. Werz ◽  
P. Reuland
Keyword(s):  
Bone Growth ◽  
Region Of Interest ◽  
Tracer Uptake ◽  
Optimal Time ◽  
Mandibular Bone ◽  
The Third ◽  
Mandibular Asymmetry ◽  
Bone Scans ◽  
Epiphyseal Plates

Summary Aim of the study was to find out wether there is a common stop of growth of mandibular bone, so that no individual determination of the optimal time for surgery in patients with asymmetric mandibular bone growth is needed. As there are no epiphyseal plates in the mandibular bone, stop of growth cannot be determined on X-ray films. Methods: Bone scans of 731 patients [687 patients (324 male, 363 female) under 39 y for exact determination of end of growth and 44 (21 male, 23 female) patients over 40 y for evaluation of nongrowth dependant differences in tracer uptake] were reviewed for the study. All the patients were examined 3 hours after injection of 99mTc-DPD. Tracer uptake was measured by region of interest technique in different points of the mandibular bone and in several epiphyseal plates of extremities. Results: Tracer uptake in different epiphyseal plates of the extremities shows strong variation with age and good correlation with reported data of bone growth and closure of the epiphyseal plates. The relative maximum of bone activity is smaller in mandibular bone than in epiphyseal plates, which show well defined peaks, ending at 15-18 years in females and at 18-21 years in males. In contrast, mandibular bone shows no well defined end of growing but a gradually reduction of bone activity which remains higher than bone activity in epiphyseal plates over several years. Conclusion: No well defined end of growth of mandibular bone exists. The optimal age for surgery of asymmetric mandibular bone growth is not before the middle of the third decade of life, bone scans performed earlier for determination of bone growth can be omitted. Bone scans performed at the middle of the third decade of life help to optimize the time of surgical intervention.

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