scholarly journals Near horizon symmetries of the non-extremal black hole solutions of Generalized Minimal Massive Gravity

2016 ◽  
Vol 760 ◽  
pp. 411-416 ◽  
Author(s):  
M.R. Setare ◽  
H. Adami
Keyword(s):  
Black Hole ◽  
Massive Gravity ◽  
Extremal Black Hole ◽  
Black Hole Solutions

scholarly journals Perturbations of cosmological and black hole solutions in massive gravity and bi-gravity

2016 ◽  
Vol 2016 (10) ◽  
pp. 103E02 ◽  
Author(s):  
Tsutomu Kobayashi ◽  
Masaru Siino ◽  
Masahide Yamaguchi ◽  
Daisuke Yoshida
Keyword(s):  
Black Hole ◽  
Massive Gravity ◽  
Black Hole Solutions

scholarly journals Thermodynamics and reentrant phase transition for logarithmic nonlinear charged black holes in massive gravity

2020 ◽  
Vol 29 (12) ◽  
pp. 2050081
Author(s):  
S. Rajaee Chaloshtary ◽  
M. Kord Zangeneh ◽  
S. Hajkhalili ◽  
A. Sheykhi ◽  
S. M. Zebarjad
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Quantum Effect ◽  
Massive Gravity ◽  
Nonlinear Electrodynamics ◽  
Model Parameters ◽  
Thermodynamic Quantities ◽  
Field Equations ◽  
Black Hole Solutions

We investigate a new class of [Formula: see text]-dimensional topological black hole solutions in the context of massive gravity and in the presence of logarithmic nonlinear electrodynamics. Exploring higher-dimensional solutions in massive gravity coupled to nonlinear electrodynamics is motivated by holographic hypothesis as well as string theory. We first construct exact solutions of the field equations and then explore the behavior of the metric functions for different values of the model parameters. We observe that our black holes admit the multi-horizons caused by a quantum effect called anti-evaporation. Next, by calculating the conserved and thermodynamic quantities, we obtain a generalized Smarr formula. We find that the first law of black holes thermodynamics is satisfied on the black hole horizon. We study thermal stability of the obtained solutions in both canonical and grand canonical ensembles. We reveal that depending on the model parameters, our solutions exhibit a rich variety of phase structures. Finally, we explore, for the first time without extending thermodynamics phase space, the critical behavior and reentrant phase transition for black hole solutions in massive gravity theory. We realize that there is a zeroth-order phase transition for a specified range of charge value and the system experiences a large/small/large reentrant phase transition due to the presence of nonlinear electrodynamics.

scholarly journals ENTROPY OF EXTREMAL DYONIC BLACK HOLES

1996 ◽  
Vol 11 (37) ◽  
pp. 2933-2939 ◽  
Author(s):  
A. GHOSH ◽  
P. MITRA
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
String Theory ◽  
Extremal Black Hole ◽  
Classical Action ◽  
Charged Black Holes ◽  
Thermodynamic Entropy ◽  
Black Hole Solutions

For extremal charged black holes, the thermodynamic entropy is proportional to the mass or charges but not proportional to the area. This is demonstrated here for dyonic extremal black hole solutions of string theory. It is pointed out that these solutions have zero classical action although the area is nonzero. By combining the general form of the entropy allowed by thermodynamics with recent observations in the literature it is possible to fix the entropy almost completely.

scholarly journals Black hole solutions in massive gravity

2009 ◽  
Vol 2009 (04) ◽  
pp. 100-100 ◽  
Author(s):  
Michael V Bebronne ◽  
Peter G Tinyakov
Keyword(s):  
Black Hole ◽  
Massive Gravity ◽  
Black Hole Solutions

scholarly journals Black Hole Solutions in Gauss-Bonnet-Massive Gravity in the Presence of Power-Maxwell Field

2018 ◽  
Vol 66 (3) ◽  
pp. 1800005 ◽  
Author(s):  
S. H. Hendi ◽  
B. Eslam Panah ◽  
S. Panahiyan
Keyword(s):  
Black Hole ◽  
Massive Gravity ◽  
Maxwell Field ◽  
Black Hole Solutions

scholarly journals Erratum: Black hole solutions in massive gravity

2011 ◽  
Vol 2011 (6) ◽  
Author(s):  
Michael V. Bebronne ◽  
Peter G. Tinyakov
Keyword(s):  
Black Hole ◽  
Massive Gravity ◽  
Black Hole Solutions

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.

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