scholarly journals Exact solutions of Lifshitz black hole coupled with nonlinear electrodynamics Journal of Physics: Conference Series

2021 ◽  
Vol 1947 (1) ◽  
pp. 012038
Author(s):  
R P Singh ◽  
B K Singh ◽  
L K Sharma
Keyword(s):  
Black Hole ◽  
Exact Solutions ◽  
Nonlinear Electrodynamics ◽  
Conference Series ◽  
Lifshitz Black Hole

scholarly journals Exponential nonlinear electrodynamics and backreaction effects on holographic superconductor in the Lifshitz black hole background

2017 ◽  
Vol 27 (01) ◽  
pp. 1750175 ◽  
Author(s):  
Z. Sherkatghanad ◽  
B. Mirza ◽  
F. Lalehgani Dezaki
Keyword(s):  
Black Hole ◽  
Critical Temperature ◽  
Critical Magnetic Field ◽  
Nonlinear Electrodynamics ◽  
Holographic Superconductor ◽  
Dynamical Exponent ◽  
Black Hole Background ◽  
Sturm Liouville ◽  
Lifshitz Black Hole ◽  
Exponential Nonlinear Electrodynamics

We analytically describe the properties of the s-wave holographic superconductor with the exponential nonlinear electrodynamics in the Lifshitz black hole background in four-dimensions. Employing an assumption the scalar and gauge fields backreact on the background geometry, we calculate the critical temperature as well as the condensation operator. Based on Sturm–Liouville method, we show that the critical temperature decreases with increasing exponential nonlinear electrodynamics and Lifshitz dynamical exponent, [Formula: see text], indicating that condensation becomes difficult. Also we find that the effects of backreaction has a more important role on the critical temperature and condensation operator in small values of Lifshitz dynamical exponent, while [Formula: see text] is around one. In addition, the properties of the upper critical magnetic field in Lifshitz black hole background using Sturm–Liouville approach is investigated to describe the phase diagram of the corresponding holographic superconductor in the probe limit. We observe that the critical magnetic field decreases with increasing Lifshitz dynamical exponent, [Formula: see text], and it goes to zero at critical temperature, independent of the Lifshitz dynamical exponent, [Formula: see text].

scholarly journals Exact solutions of three-dimensional black holes: Einstein gravity versus F(R) gravity

2014 ◽  
Vol 23 (11) ◽  
pp. 1450088 ◽  
Author(s):  
S. H. Hendi ◽  
B. Eslam Panah ◽  
R. Saffari
Keyword(s):  
Black Hole ◽  
Exact Solutions ◽  
Three Dimensional ◽  
Einstein Gravity ◽  
Nonlinear Electrodynamics ◽  
Thermodynamic Quantities ◽  
Field Equations ◽  
First Law Of Thermodynamics ◽  
Conformally Invariant ◽  
Dimensional Spacetime

In this paper, we consider Einstein gravity in the presence of a class of nonlinear electrodynamics, called power Maxwell invariant (PMI). We take into account (2 + 1)-dimensional spacetime in Einstein-PMI gravity and obtain its black hole solutions. Then, we regard pure F(R) gravity as well as F(R)-conformally invariant Maxwell (CIM) theory to obtain exact solutions of the field equations with black hole interpretation. Finally, we investigate the conserved and thermodynamic quantities and discuss about the first law of thermodynamics for the mentioned gravitational models.

Three dimensional Lifshitz black hole and the Korteweg–de Vries equation

2012 ◽  
Vol 709 (3) ◽  
pp. 276-279 ◽  
Author(s):  
E. Abdalla ◽  
Jeferson de Oliveira ◽  
A. Lima-Santos ◽  
A.B. Pavan
Keyword(s):  
Black Hole ◽  
Vries Equation ◽  
Three Dimensional ◽  
De Vries ◽  
Lifshitz Black Hole

Extended GUP corrected thermodynamics, shadow radius and quasinormal modes of charged AdS black holes in Gauss–Bonnet gravity

2021 ◽  
pp. 2150137
Author(s):  
Shahid Chaudhary ◽  
Abdul Jawad ◽  
Kimet Jusufi ◽  
Muhammad Yasir
Keyword(s):  
Black Hole ◽  
Generalized Uncertainty Principle ◽  
Quasinormal Modes ◽  
Nonlinear Electrodynamics ◽  
Horizon Radius ◽  
Bonnet Gravity ◽  
Ads Black Holes ◽  
Dimensional Black Hole ◽  
Relationship Of ◽  
The Relationship

This paper explores the influence of special type of higher order generalized uncertainty principle on the thermodynamics of five-dimensional black hole in Einstein–Gauss–Bonnet gravity coupled to nonlinear electrodynamics. We examine the corrected thermodynamical properties of the black hole with some interesting limiting cases [Formula: see text] and [Formula: see text] and compared our results with usual thermodynamical relations. We observe that the influence of GUP correction stabilizes the BH and BH solution remains physical throughout the region of horizon radius. In this framework, we also uncover the relationship of shadow radius and quasinormal modes of the mentioned black hole. We conclude that shadow radius of our considered black hole is a perfect circle and it decreases with increasing values of charge and Gauss–Bonnet parameter. We also verify the inverse relation between the quasinormal modes frequencies and shadow radius, i.e. quasinormal modes should increase with increasing values of Gauss–Bonnet parameter and electric charge.

scholarly journals Exact solutions for extreme black hole magnetospheres

2015 ◽  
Vol 2015 (7) ◽  
Author(s):  
Alexandru Lupsasca ◽  
Maria J. Rodriguez
Keyword(s):  
Black Hole ◽  
Exact Solutions ◽  
Extreme Black Hole

Quasinormal modes and greybody factors of a four-dimensional Lifshitz black hole with z = 0 $z=0$

2016 ◽  
Vol 361 (6) ◽  
Author(s):  
Marcela Catalán ◽  
Eduardo Cisternas ◽  
P. A. González ◽  
Yerko Vásquez
Keyword(s):  
Black Hole ◽  
Quasinormal Modes ◽  
Lifshitz Black Hole

scholarly journals Revisit on the thermodynamic stability of Hořava–Lifshitz black hole

2018 ◽  
Vol 27 (04) ◽  
pp. 1850048
Author(s):  
Xudong Meng ◽  
Ruihong Wang
Keyword(s):  
Black Hole ◽  
Thermodynamic Properties ◽  
Thermodynamic Stability ◽  
Detailed Balance ◽  
De Sitter ◽  
Thermodynamic Variable ◽  
Detailed Balance Condition ◽  
First Law Of Thermodynamics ◽  
Balance Condition ◽  
Lifshitz Black Hole

We study the thermodynamic properties of the black hole derived in Hořava–Lifshitz (HL) gravity without the detailed-balance condition. The parameter [Formula: see text] in the HL black hole plays the same role as that of the electric charge in the Reissner–Nordström-anti-de Sitter (RN-AdS) black hole. By analogy, we treat the parameter [Formula: see text] as the thermodynamic variable and obtain the first law of thermodynamics for the HL black hole. Although the HL black hole and the RN-AdS black hole have the similar mass and temperature, due to their very different entropy, the two black holes have very different thermodynamic properties. By calculating the heat capacity and the free energy, we analyze the thermodynamic stability of the HL black hole.

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