scholarly journals Einstein-Born-Infeld-massive gravity: adS-black hole solutions and their thermodynamical properties

2015 ◽  
Vol 2015 (11) ◽  
Author(s):  
S.H. Hendi ◽  
B. Eslam Panah ◽  
S. Panahiyan
2016 ◽  
Vol 2016 (10) ◽  
pp. 103E02 ◽  
Author(s):  
Tsutomu Kobayashi ◽  
Masaru Siino ◽  
Masahide Yamaguchi ◽  
Daisuke Yoshida

2020 ◽  
Vol 29 (12) ◽  
pp. 2050081
Author(s):  
S. Rajaee Chaloshtary ◽  
M. Kord Zangeneh ◽  
S. Hajkhalili ◽  
A. Sheykhi ◽  
S. M. Zebarjad

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.


2009 ◽  
Vol 2009 (04) ◽  
pp. 100-100 ◽  
Author(s):  
Michael V Bebronne ◽  
Peter G Tinyakov

2018 ◽  
Vol 66 (3) ◽  
pp. 1800005 ◽  
Author(s):  
S. H. Hendi ◽  
B. Eslam Panah ◽  
S. Panahiyan

2018 ◽  
Vol 27 (12) ◽  
pp. 1850108 ◽  
Author(s):  
Dharm Veer Singh ◽  
Md Sabir Ali ◽  
Sushant G. Ghosh

Noncommutativity is an idea dating back to that early times of quantum mechanics and the string theory induced noncommutative (NC) geometry provided an effective framework to study the short distance spacetime dynamics. Also, string theory, a candidate for a consistent quantum theory of gravity, admits a variety of classical black hole solutions including black strings. In this paper, we study a NC geometry inspired rotating black string to cylindrical spacetime with a source given by a smeared distribution of mass. The resulting metric is a regular everywhere, i.e. curvature-singularity free rotating black string, that in large [Formula: see text] limit interpolates Lemos black string. Thermodynamical properties of the black strings are also investigated and exact expressions for the temperature, the entropy and the heat capacity are obtained. Owing to the NC correction in the solution, the thermodynamic quantities have also been modified and that the NC geometry inspired black string is always thermodynamically stable.


2011 ◽  
Vol 2011 (6) ◽  
Author(s):  
Michael V. Bebronne ◽  
Peter G. Tinyakov

2010 ◽  
Vol 2010 (7) ◽  
Author(s):  
Soonkeon Nam ◽  
Jong-Dae Park ◽  
Sang-Heon Yi

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