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.

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 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 Black hole solutions in gravity with nonminimal derivative coupling and nonlinear material fields

2020 ◽  
Vol 29 (03) ◽  
pp. 2050025 ◽  
Author(s):  
Mykola M. Stetsko
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Electromagnetic Field ◽  
Nonlinear Material ◽  
Derivative Coupling ◽  
First Law Of Thermodynamics ◽  
Tensor Theory ◽  
Static Black Hole ◽  
Nonlinear Lagrangians ◽  
Black Hole Solutions

Scalar–tensor theory of gravity with nonlinear electromagnetic field, minimally coupled to gravity is considered and static black hole solutions are obtained. Namely, power-law and Born–Infeld nonlinear Lagrangians for the electromagnetic field are examined. Since the cosmological constant is taken into account, it allowed us to investigate the so-called topological black holes. Black hole thermodynamics is studied, in particular temperature of the black holes is calculated and examined and the first law of thermodynamics is obtained with help of Wald’s approach.

Slowly rotating black holes with nonlinear electrodynamics in five dimensions

2014 ◽  
Vol 23 (11) ◽  
pp. 1450095 ◽  
Author(s):  
S. H. Hendi ◽  
M. Sepehri Rad
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Einstein Gravity ◽  
Rotation Parameter ◽  
Nonlinear Electrodynamics ◽  
Five Dimensions ◽  
Angular Momenta ◽  
Static Black Hole ◽  
Rotating Black Holes ◽  
Black Hole Solutions

Employing linear order perturbation theory with the rotation parameter as the perturbative parameter, we obtain asymptotically AdS slowly rotating black hole solutions in the Einstein gravity with Born–Infeld (BI) type nonlinear electrodynamics (NED). We start from asymptotically AdS static black hole solutions coupled to BI type NED in five dimensions. Then, we consider the effect of adding a small amount of angular momenta to the seed solutions. Finally, we investigate the geometry and thermodynamic properties of the solutions.

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 Joule-Thomson Expansion of the Quasitopological Black Holes

2021 ◽  
Vol 9 ◽  
Author(s):  
Fatemeh Naeimipour ◽  
Masoumeh Tavakoli
Keyword(s):  
Thermal Stability ◽  
Black Holes ◽  
Black Hole ◽  
Nonlinear Electrodynamics ◽  
Negative Slope ◽  
Heating Process ◽  
Thermodynamic Quantities ◽  
Stable Range ◽  
Yang Mills ◽  
Black Hole Solutions

In this paper, we investigate the thermal stability and Joule-Thomson expansion of some new quasitopological black hole solutions. We first study the higher-dimensional static quasitopological black hole solutions in the presence of Born-Infeld, exponential, and logarithmic nonlinear electrodynamics. The stable regions of these solutions are independent of the types of the nonlinear electrodynamics. The solutions with horizons relating to the positive constant curvature, k=+1, have a larger region in thermal stability, if we choose positive quasitopological coefficients, μi>0. We also review the power Maxwell quasitopological black hole. We then obtain the five-dimensional Yang-Mills quasitopological black hole solution and compare it with the quasitopological Maxwell solution. For large values of the electric charge, q, and the Yang-Mills charge, e, we showed that the stable range of the Maxwell quasitopological black hole is larger than the Yang-Mills one. This is while thermal stability for small charges has the same behavior for these black holes. Thereafter, we obtain the thermodynamic quantities for these solutions and then study the Joule-Thomson expansion. We consider the temperature changes in an isenthalpic process during this expansion. The obtained results show that the inversion curves can divide the isenthalpic ones into two parts in the inversion pressure, Pi. For P<Pi, a cooling phenomenon with positive slope happens in T−P diagram, while there is a heating process with a negative slope for P>Pi. As the values of the nonlinear parameter, β, the electric and Yang-Mills charges decrease, the temperature goes to zero with a small slope and so the heating phenomena happens slowly.

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 Hawking evaporation of black holes in massive gravity

2020 ◽  
Vol 80 (11) ◽  
Author(s):  
Meng-Shi Hou ◽  
Hao Xu ◽  
Yen Chin Ong
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Null Geodesic ◽  
Massive Gravity ◽  
Late Time ◽  
De Sitter ◽  
Emission Surface ◽  
Metric Function ◽  
The Impact ◽  
Hawking Evaporation

AbstractWe study the Hawking evaporation of a class of black hole solutions in dRGT massive gravity, in which the graviton mass gives rise to an effective negative cosmological constant. We found that the effective emission surface can be either proportional to the square of the effective AdS length scale, or corresponds to the square of the impact parameter of the null geodesic that falls onto the photon orbit of the black hole. Furthermore, depending on the black hole parameters, the emission surface could switch from one to another as the black hole loses mass during the evaporation process. Furthermore, the black holes can either evaporate completely or become a remnant at late time. Our result is more generally applicable to any asymptotically anti-de Sitter-like black hole solution in any theory whose metric function has a term linear in the coordinate radius, with massive gravity being only a concrete example.

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