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 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 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 AdS black hole solutions in the extended new massive gravity

2010 ◽  
Vol 2010 (7) ◽  
Author(s):  
Soonkeon Nam ◽  
Jong-Dae Park ◽  
Sang-Heon Yi
Keyword(s):  
Black Hole ◽  
Massive Gravity ◽  
Black Hole Solutions

scholarly journals Note on the Charged Black Hole Solutions in a Static Quantum Inspired Spacetime: Massive Gravity as Background

2021 ◽  
Author(s):  
Houcine Aounallah ◽  
Hayade Zarei ◽  
Prabir Rudra ◽  
Barun Majumder
Keyword(s):  
Black Hole ◽  
Thermodynamic System ◽  
Massive Gravity ◽  
Nonlinear Electrodynamics ◽  
Exponential Form ◽  
Gravitational Effects ◽  
First Law Of Thermodynamics ◽  
Central Singularity ◽  
Metric Function ◽  
Black Hole Solutions

In this paper, we explore the black hole solutions with rainbow deformed metric in the presence of exponential form of nonlinear electrodynamics with asymptotic Reissner-Nordstrom properties. We calculate the exact solution of metric function and explore the geometrical prop- erties in the background of massive gravity. From the obtained solution, the existence of the singularity is confirmed in proper limits. Using the solutions we also investigate the thermody- namic properties of the solutions by checking the validity of the first law of thermodynamics. Continuing the thermodynamic study, we investigate the conditions under which the system is thermally stable from the heat capacity and the Gibbs free energy. We also discuss the possible phase transition and the criticality of the system. It was found that the quantum gravitational effects of gravity’s rainbow render the thermodynamic system stable in the vicinity of the singu- larity. From the equation of state it was found that after diverging at the singularity, the system evolves asymptotically into pressure-less dust as one moves away from the central singularity.

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