scholarly journals Massive gravity with Lorentz symmetry breaking: Black holes as heat engines

2018 ◽  
Vol 33 (31) ◽  
pp. 1850177 ◽  
Author(s):  
Sharmanthie Fernando
Keyword(s):  
Black Hole ◽  
Symmetry Breaking ◽  
Heat Engine ◽  
Massive Gravity ◽  
Lorentz Symmetry ◽  
Extended Phase ◽  
Heat Engines ◽  
Static Black Hole ◽  
Lorentz Symmetry Breaking ◽  
Two Parameters

In extended phase space, a static black hole in massive gravity is studied as a holographic heat engine. In the massive gravity theory considered, the graviton gains a mass due to Lorentz symmetry breaking. Exact efficiency formula is obtained for a rectangle engine cycle for the black hole considered. The efficiency is computed by varying two parameters in the theory, the scalar charge Q and [Formula: see text]. The efficiency is compared with the Carnot efficiency for the heat engine. It is observed that when Q and [Formula: see text] are increased that the efficiency for the rectangle cycle increases. When compared to the Schwarzschild–AdS black hole, the efficiency for the rectangle cycle is larger for the massive gravity black hole.

scholarly journals Thermodynamics and heat engines of black holes with Born–Infeld-type electrodynamics

2021 ◽  
pp. 2150102
Author(s):  
Leonardo Balart ◽  
Sharmanthie Fernando
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Phase Transitions ◽  
Heat Engine ◽  
Nonlinear Electrodynamics ◽  
Extended Phase ◽  
Charged Black Holes ◽  
Heat Engines ◽  
Two Parameters ◽  
Electrically Charged

In this paper, we have studied electrically charged black holes in a new model of nonlinear electrodynamics introduced by Kruglov in Mod. Phys. Lett. A 32, 1750201 (2017). There are two parameters for the theory and the black hole could have up to two horizons. Thermodynamics is studied in the extended phase space where the pressure is proportional to the cosmological constant. First law and the Smarr formula are derived. There are phase transitions similar to the Van der Waals liquid-gas phase transitions. Black hole is also studied as a heat engine and we have discussed how the parameters in the nonlinear electrodynamics theory affect the efficiency of the heat engine.

scholarly journals Quasinormal modes and van der Waals-like phase transition of charged AdS black holes in Lorentz symmetry breaking massive gravity

2019 ◽  
Vol 28 (09) ◽  
pp. 1950113 ◽  
Author(s):  
Bin Liang ◽  
Shao-Wen Wei ◽  
Yu-Xiao Liu
Keyword(s):  
Phase Transition ◽  
Black Holes ◽  
Black Hole ◽  
Symmetry Breaking ◽  
Quasinormal Modes ◽  
Massive Gravity ◽  
Quasinormal Mode ◽  
Large Black Hole ◽  
Sign Change ◽  
Lorentz Symmetry Breaking

Using the quasinormal modes of a massless scalar perturbation, we investigate the small/large black hole phase transition in the Lorentz symmetry breaking massive gravity. We mainly focus on two issues: (i) the sign change of slope of the quasinormal mode frequencies in the complex-[Formula: see text] diagram; (ii) the behaviors of the imaginary part of the quasinormal mode frequencies along the isobaric or isothermal processes. For the first issue, our result shows that, at low fixed temperature or pressure, the phase transition can be probed by the sign change of slope. While increasing the temperature or pressure to certain values near the critical point, there will appear the deflection point, which indicates that such method may not be appropriate to test the phase transition. In particular, the behavior of the quasinormal mode frequencies for the small and large black holes tend to be the same at the critical point. For the second issue, it is shown that the nonmonotonic behavior is observed only when the small/large black hole phase transition occurs. Therefore, this property can provide us with an additional method to probe the phase transition through the quasinormal modes.

scholarly journals Holographic heat engines and static black holes: A general efficiency formula

2019 ◽  
Vol 28 (02) ◽  
pp. 1950030 ◽  
Author(s):  
Felipe Rosso
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Upper Bound ◽  
Heat Engine ◽  
Thermodynamic System ◽  
Ideal Gas ◽  
Heat Flows ◽  
Heat Engines ◽  
Static Black Hole

Starting from simple observations regarding heat flows for static black holes (or any thermodynamic system with [Formula: see text]), we get inequalities which restrict their change in energy and adiabatic curves in the [Formula: see text] plane. From these observations, we then derive an exact efficiency formula for virtually any holographic heat engine defined by a cycle in the [Formula: see text] plane, whose working substance is a static black hole. Moreover, we get an upper bound for its efficiency and show that for a certain class of black holes, this bound is universal and achieved by an “ideal gas” hole. Finally, we compute exact efficiencies for some particular and new engines.

scholarly journals Greybody radiation and quasinormal modes of Kerr-like black hole in Bumblebee gravity model

2021 ◽  
Vol 81 (6) ◽  
Author(s):  
Sara Kanzi ◽  
İzzet Sakallı
Keyword(s):  
Black Hole ◽  
Symmetry Breaking ◽  
Gravity Model ◽  
Time Domain ◽  
Quasinormal Modes ◽  
Lorentz Symmetry ◽  
Wkb Method ◽  
Black Hole Spacetime ◽  
Lorentz Symmetry Breaking ◽  
The Time Domain

AbstractIn the framework of the Lorentz symmetry breaking (LSB), we investigate the quasinormal modes (QNMs) and the greybody factors (GFs) of the Kerr-like black hole spacetime obtained from the bumblebee gravity model. In particular, we analyze the scalar and fermionic perturbations of the black hole within the framework of both semi-analytic WKB method and the time domain approach. The impacts of the LSB on the bosonic/fermionic QNMs and GFs of the Kerr-like black hole are investigated in detail. The obtained results are graphically depicted and discussed.

scholarly journals Schwarzschild Like Solution with Global Monopole in Bumblebee Gravity

2020 ◽  
Author(s):  
İbrahim Güllü ◽  
Ali Övgün
Keyword(s):  
Black Hole ◽  
Symmetry Breaking ◽  
Deflection Angle ◽  
Lorentz Symmetry ◽  
Global Monopole ◽  
Black Hole Spacetime ◽  
Lorentz Symmetry Breaking ◽  
Spacetime Metric ◽  
Bonnet Theorem

In this paper, by considering Einstein-Hilbert-Bumblebee (EHB) gravity around global monopole field, we derive exactly a black hole spacetime metric. To test the effect of global monopole field and bumblebee field, which causes the spontaneous Lorentz symmetry breaking, we calculate the weak deflection angle using the Gauss-Bonnet theorem.

Black hole solution of Gauss–Bonnet-massive gravity coupled to nonlinear Maxwell and Yang–Mills fields in higher dimensions

2019 ◽  
Vol 34 (16) ◽  
pp. 1950121
Author(s):  
Jun Li ◽  
Kun Meng
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Higher Dimensions ◽  
Massive Gravity ◽  
Black Hole Thermodynamics ◽  
Thermodynamic Quantities ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Yang Mills ◽  
Static Black Hole

We construct a static black hole solution of Gauss–Bonnet-massive gravity coupled to nonlinear Maxwell and Yang–Mills fields in higher dimensions. Then we calculate related thermodynamic quantities, check the validity of the first law of black hole thermodynamics and analyze the phase transition behaviors of the black hole in extended phase space.

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