scholarly journals The first law and Wald entropy formula of heterotic stringy black holes at first order in α′

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Zachary Elgood ◽  
Tomás Ortín ◽  
David Pereñíguez
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Effective Action ◽  
Differential Forms ◽  
Momentum Maps ◽  
First Order ◽  
Entropy Formula ◽  
Lie Derivatives

Abstract We derive the first law of black hole mechanics in the context of the Heterotic Superstring effective action to first order in α′ using Wald’s formalism. We carefully take into account all the symmetries of the theory and, as a result, we obtain a manifestly gauge- and Lorentz-invariant entropy formula in which all the terms can be computed explicitly. An entropy formula with these properties allows unambiguous calculations of macroscopic black-hole entropies to first order in α′ that can be reliably used in a comparison with the microscopic ones. Such a formula was still lacking in the literature.In the proof we use momentum maps to define covariant variations and Lie derivatives and restricted generalized zeroth laws which state the closedness of certain differential forms on the bifurcation sphere and imply the constancy of the associated potentials on it.We study the relation between our entropy formula and other formulae that have been used in the literature.

scholarly journals T duality and Wald entropy formula in the Heterotic Superstring effective action at first-order in α′

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
Zachary Elgood ◽  
Tomás Ortín
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Effective Action ◽  
Extremal Black Hole ◽  
Slope Parameter ◽  
First Order ◽  
Duality Transformations ◽  
Entropy Formula ◽  
Reduced Action ◽  
Black Hole Solutions

Abstract We consider the compactification on a circle of the Heterotic Superstring effective action to first order in the Regge slope parameter α′ and re-derive the α′-corrected Buscher rules first found in ref. [42], proving the T duality invariance of the dimensionally-reduced action to that order in α′. We use Iyer and Wald’s prescription to derive an entropy formula that can be applied to black-hole solutions which can be obtained by a single non-trivial compactification on a circle and discuss its invariance under the α′-corrected T duality transformations. This formula has been successfully applied to α′-corrected 4-dimensional non-extremal Reissner-Nordström black holes in ref. [21] and we apply it here to a heterotic version of the Strominger-Vafa 5-dimensional extremal black hole.

scholarly journals O(n, n) invariance and Wald entropy formula in the Heterotic Superstring effective action at first order in α′

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Tomás Ortín
Keyword(s):  
Black Holes ◽  
Effective Action ◽  
Invariant Form ◽  
First Order ◽  
Entropy Formula ◽  
Reduced Action

Abstract We perform the toroidal compactification of the full Bergshoeff-de Roo version of the Heterotic Superstring effective action to first order in α′. The dimensionally-reduced action is given in a manifestly-O(n, n)-invariant form which we use to derive a manifestly-O(n, n)-invariant Wald entropy formula which we then use to compute the entropy of α′-corrected, 4-dimensional, 4-charge, static, extremal, supersymmetric black holes.

scholarly journals SEMICLASSICAL CORRECTIONS TO THE CARDY–VERLINDE FORMULA OF KERR BLACK HOLES

2008 ◽  
Vol 23 (13) ◽  
pp. 2047-2053 ◽  
Author(s):  
M. R. SETARE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Central Charge ◽  
Kerr Black Hole ◽  
Gravitational Effect ◽  
The Self ◽  
Entropy Formula ◽  
Verlinde Formula ◽  
Kerr Black Holes

In this paper, we compute the corrections to the Cardy–Verlinde formula of four-dimensional Kerr black hole. These corrections are considered within the context of KKW analysis and arise as a result of the self-gravitational effect. Then we show that one can take into account the semiclassical corrections of the Cardy–Verlinde entropy formula by only redefining the Virasoro operator L0 and the central charge c.

scholarly journals THE CARDY–VERLINDE FORMULA AND ENTROPY OF TOPOLOGICAL REISSNER–NORDSTRÖM BLACK HOLES IN DE SITTER SPACES

2002 ◽  
Vol 17 (32) ◽  
pp. 2089-2094 ◽  
Author(s):  
M. R. SETARE
Keyword(s):  
Field Theory ◽  
Black Holes ◽  
Black Hole ◽  
Conformal Field Theory ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Conformal Field ◽  
Entropy Formula ◽  
Verlinde Formula ◽  
Entropy Of Black Hole

In this paper we discuss the question of whether the entropy of cosmological horizon in topological Reissner–Nordström–de Sitter spaces can be described by the Cardy–Verlinde formula, which is supposed to be an entropy formula of conformal field theory in any dimension. Furthermore, we find that the entropy of black hole horizon can also be rewritten in terms of the Cardy–Verlinde formula for these black holes in de Sitter spaces, if we use the definition due to Abbott and Deser for conserved charges in asymptotically de Sitter spaces. Our result is in favour of the dS/CFT correspondence.

scholarly journals EFFECTIVE ACTION FOR CONFORMAL SCALARS AND ANTIEVAPORATION OF BLACK HOLES

1999 ◽  
Vol 14 (08) ◽  
pp. 1293-1304 ◽  
Author(s):  
SHIN'ICHI NOJIRI ◽  
SERGEI D. ODINTSOV
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Effective Action ◽  
Quantum Evolution ◽  
Conformal Anomaly ◽  
General Effect ◽  
De Sitter ◽  
Conformally Invariant ◽  
Hole Radius ◽  
Maximal Mass

We study the one-loop effective action for N 4D conformally invariant scalars on the spherically symmetric background. The main part of the effective action is given by integration of the 4D conformal anomaly. This effective action (in large N approximation and partial curvature expansion) is applied to investigate the quantum evolution of Schwarzschild–de Sitter (SdS) black holes of maximal mass. We find that the effect (recently discovered by Bousso and Hawking for N minimal scalars and another approximate effective action) of antievaporation of nearly maximal SdS (Nariai) black holes also occurs in the model under consideration. Careful treatment of quantum corrections and perturbations modes of Nariai black holes is given, being quite complicated. It is shown that exists also perturbation where the black hole radius shrinks, i.e. the black hole evaporates. We point out that our result holds for a wide class of models, including conformal scalars, spinors and vectors. Hence, antievaporation of SdS black holes is a rather general effect which should be taken into account in quantum gravity considerations.

scholarly journals BLACK HOLE ENTROPY BY THE BRICK-WALL METHOD IN FOUR AND FIVE DIMENSIONS WITH U(1) CHARGES

2001 ◽  
Vol 16 (39) ◽  
pp. 2495-2503 ◽  
Author(s):  
ELCIO ABDALLA ◽  
L. ALEJANDRO CORREA-BORBONET
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Scalar Field ◽  
Black Hole Entropy ◽  
Brick Wall ◽  
Statistical Entropy ◽  
Five Dimensions ◽  
Entropy Formula ◽  
Wall Method

Using the brick-wall method we compute the statistical entropy of a scalar field in a nontrivial background, in two different cases. These backgrounds are generated by four- and five-dimensional black holes with four and three U(1) charges respectively. The Bekenstein entropy formula is generally obeyed, but corrections are discussed in the latter case.

scholarly journals Holographic complexity of the electromagnetic black hole

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
Jie Jiang ◽  
Ming Zhang
Keyword(s):  
Growth Rate ◽  
Black Holes ◽  
Black Hole ◽  
Electromagnetic Field ◽  
Gravitational Theory ◽  
Lagrangian Function ◽  
Boundary Term ◽  
Late Time ◽  
First Order ◽  
Boundary Terms

Abstract In this paper, we use the “complexity equals action” (CA) conjecture to evaluate the holographic complexity in some multiple-horzion black holes for the gravitational theory coupled to a first-order source-free electrodynamics. Motivated by the vanishing result of the purely magnetic black hole founded by Goto et al., we investigate the complexity in a static charged black hole with source-free electrodynamics and find that this vanishing feature of the late-time rate is universal for a purely static magnetic black hole. But this result shows some unexpected features of the late-time growth rate. We show how the inclusion of a boundary term for the first-order electromagnetic field to the total action can make the holographic complexity be well-defined and obtain a general expression of the late-time complexity growth rate with these boundary terms. However, the choice of these additional boundary terms is dependent on the specific gravitational theory as well as the black hole geometries. To show this, we apply our late-time result to some explicit cases and show how to choose the proportional constant of the additional boundary term to make the complexity be well-defined in the zero-charge limit. Typically, we investigate the static magnetic black holes in Einstein gravity coupled to a first-order electrodynamics and find that there is a general relationship between the proper proportional constant and the Lagrangian function $$h(\mathcal {F})$$h(F) of the electromagnetic field: if $$h(\mathcal {F})$$h(F) is a convergent function, the choice of the proportional constant is independent on explicit expressions of $$h(\mathcal {F})$$h(F) and it should be chosen as 4/3; if $$h(\mathcal {F})$$h(F) is a divergent function, the proportional constant is dependent on the asymptotic index of the Lagrangian function.

scholarly journals Effects of global monopole on critical behaviors and microstructure of charged AdS black holes

2021 ◽  
Vol 36 (26) ◽  
pp. 2150191
Author(s):  
Gao-Ming Deng ◽  
Jinbo Fan ◽  
Xinfei Li
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Topological Defect ◽  
Global Monopole ◽  
De Sitter ◽  
First Order ◽  
Ads Black Holes ◽  
First Order Phase Transition ◽  
The Rich ◽  
First Order Phase

As an intriguing topological defect, global monopole’s influence on behaviors of black holes has always been anticipated but still remains obscure. Analyzing the thermodynamics of charged Anti-de Sitter (AdS) black hole incorporating a global monopole manifests that the black hole undergoes a Van der Waals-like first-order phase transition near the critical point. This paper concentrates on further investigating the transition, aiming at clarifying how the global monopole affects the criticality and microstructure of the charged AdS black holes. As a highlight, this research is implemented by employing new state parameters other than (T, P, V) description and contributes to deeper understanding the rich critical phenomena and phase structure of black holes.

Thermodynamic properties of modified hairy and BTZ black holes

2021 ◽  
pp. 2150068
Author(s):  
Muhammad Yasir ◽  
Kazuharu Bamba ◽  
Abdul Jawad
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Equations Of State ◽  
Massive Gravity ◽  
Black Hole Thermodynamics ◽  
Thermodynamic Quantities ◽  
Btz Black Hole ◽  
Yang Mills ◽  
First Order

We consider the Hairy black hole of dimensionally continued gravity with power-Yang–Mills magnetic source and Lorentz symmetry violating Bañados, Teitelboim and Zanelli (BTZ) black hole in massive gravity. We utilize the general form of first law of black hole thermodynamics and compute different thermodynamic quantities. Keeping in mind the importance of negative cosmological constant [Formula: see text], we derive corresponding equations of state and discuss the phase transitions which is comparable with chemical Van der Waals fluid. We also find out the critical points and observe that system exhibits first-order small as well as large black holes phase transitions.

scholarly journals BLACK HOLES AND STRINGS: THE POLYMER LINK

1998 ◽  
Vol 13 (17) ◽  
pp. 1407-1411 ◽  
Author(s):  
RAMZI R. KHURI
Keyword(s):  
Black Holes ◽  
General Relativity ◽  
Black Hole ◽  
Quantum Mechanics ◽  
Quantum Gravity ◽  
Soft Matter ◽  
Black Hole Entropy ◽  
Entropy Formula ◽  
Recent Success ◽  
Thermodynamics And Statistical Mechanics

Quantum aspects of black holes represent an important testing ground for a theory of quantum gravity. The recent success of string theory in reproducing the Bekenstein–Hawking black hole entropy formula provides a link between general relativity and quantum mechanics via thermodynamics and statistical mechanics. Here we speculate on the existence of new and unexpected links between black holes and polymers and other soft-matter systems.

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