scholarly journals Nonlinearly charged AdS black hole solutions in three-dimensional massive gravity's rainbow

2020 ◽  
Vol 803 ◽  
pp. 135335 ◽  
Author(s):  
M. Dehghani
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Black Hole Solutions

scholarly journals Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity’s rainbow

2021 ◽  
pp. 2150158
Author(s):  
M. Dehghani ◽  
B. Pourhassan
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Black Hole Entropy ◽  
Nonlinear Electrodynamics ◽  
Logarithmic Term ◽  
Geometrical Properties ◽  
First Order ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Logarithmic Corrections

In this paper, we consider three-dimensional massive gravity’s rainbow and obtain black hole solutions in three different cases of Born–Infeld, logarithmic, and exponential theories of nonlinear electrodynamics. We discuss the horizon structure and geometrical properties. Then, we study thermodynamics of these models by considering the first-order quantum correction effects, which appear as a logarithmic term in the black hole entropy. We discuss such effects on the black hole stability and phase transitions. We find that due to the quantum corrections, the second-order phase transition happens in Born–Infeld and logarithmic models. We obtain the modified first law of black hole thermodynamics in the presence of logarithmic corrections.

scholarly journals Black holes thermodynamics in a new kind of noncommutative geometry

2018 ◽  
Vol 27 (05) ◽  
pp. 1850053 ◽  
Author(s):  
Mir Faizal ◽  
R. G. G. Amorim ◽  
S. C. Ulhoa
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Noncommutative Geometry ◽  
Star Product ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow ◽  
Corrected Entropy ◽  
New Energy ◽  
Energy Dependent ◽  
Black Hole Solutions

Motivated by the energy-dependent metric in gravity’s rainbow, we will propose a new kind of energy-dependent noncommutative geometry. It will be demonstrated that like gravity’s rainbow, this new noncommutative geometry is described by an energy-dependent metric. We will analyze the effect of this noncommutative deformation on the Schwarzschild black holes and Kerr black holes. We will perform our analysis by relating the commutative and this new energy-dependent noncommutative metrics using an energy-dependent Moyal star product. We will also analyze the thermodynamics of these new noncommutative black hole solutions. We will explicitly derive expression for the corrected entropy and temperature for these black hole solutions. It will be demonstrated that, for these deformed solutions, black remnants cannot form. This is because these corrections increase rather than reduce the temperature of the black holes.

scholarly journals Three-dimensional dilatonic gravity's rainbow: Exact solutions

2016 ◽  
Vol 2016 (10) ◽  
pp. 103A02 ◽  
Author(s):  
Seyed Hossein Hendi ◽  
Behzad Eslam Panah ◽  
Shahram Panahiyan
Keyword(s):  
Exact Solutions ◽  
Three Dimensional ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow

scholarly journals Free-fall frame black hole in gravity’s rainbow

2016 ◽  
Vol 94 (6) ◽  
Author(s):  
Jun Tao ◽  
Peng Wang ◽  
Haitang Yang
Keyword(s):  
Black Hole ◽  
Free Fall ◽  
Gravity’S Rainbow ◽  
Gravity's Rainbow

scholarly journals Hairy black hole solutions in a three-dimensional Galileon model

2018 ◽  
Vol 35 (18) ◽  
pp. 185010 ◽  
Author(s):  
Gérard Clément ◽  
Khireddine Nouicer
Keyword(s):  
Black Hole ◽  
Three Dimensional ◽  
Black Hole Solutions ◽  
Hairy Black Hole

scholarly journals Spatially homogeneous black hole solutions in $$z=4$$ Hořava–Lifshitz gravity in $$(4+1)$$ dimensions with Nil geometry and $$H^2\times R$$ horizons

2021 ◽  
Vol 81 (10) ◽  
Author(s):  
F. Naderi ◽  
A. Rezaei-Aghdam ◽  
Z. Mahvelati-Shamsabadi
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Three Dimensional ◽  
Hamiltonian Formalism ◽  
Coupling Constant ◽  
Especial Case ◽  
Gravity Equations ◽  
Spatially Homogeneous ◽  
Black Hole Solutions ◽  
Bianchi Types

AbstractIn this paper, we present two new families of spatially homogeneous black hole solution for $$z=4$$ z = 4 Hořava–Lifshitz Gravity equations in $$(4+1)$$ ( 4 + 1 ) dimensions with general coupling constant $$\lambda $$ λ and the especial case $$\lambda =1$$ λ = 1 , considering $$\beta =-1/3$$ β = - 1 / 3 . The three-dimensional horizons are considered to have Bianchi types II and III symmetries, and hence the horizons are modeled on two types of Thurston 3-geometries, namely the Nil geometry and $$H^2\times R$$ H 2 × R . Being foliated by compact 3-manifolds, the horizons are neither spherical, hyperbolic, nor toroidal, and therefore are not of the previously studied topological black hole solutions in Hořava–Lifshitz gravity. Using the Hamiltonian formalism, we establish the conventional thermodynamics of the solutions defining the mass and entropy of the black hole solutions for several classes of solutions. It turned out that for both horizon geometries the area term in the entropy receives two non-logarithmic negative corrections proportional to Hořava–Lifshitz parameters. Also, we show that choosing some proper set of parameters the solutions can exhibit locally stable or unstable behavior.

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