scholarly journals Eigen solutions of the Schrӧdinger equation and the thermodynamic stability of the black hole temperature

2018 ◽  
Vol 10 ◽  
pp. 406-410 ◽  
Author(s):  
C.A. Onate ◽  
J.O. Okoro ◽  
O. Adebimpe ◽  
A.F. Lukman
Keyword(s):  
Black Hole ◽  
Thermodynamic Stability ◽  
Eigen Solutions ◽  
Black Hole Temperature

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.

scholarly journals On the black holes in alternative theories of gravity: The case of nonlinear massive gravity

2015 ◽  
Vol 24 (03) ◽  
pp. 1550022 ◽  
Author(s):  
Ivan Arraut
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Degrees Of Freedom ◽  
Massive Gravity ◽  
Alternative Theories Of Gravity ◽  
De Sitter ◽  
Theories Of Gravity ◽  
Bound Orbits ◽  
Black Hole Temperature ◽  
Alternative Theories

I derive general conditions in order to explain the origin of the Vainshtein radius inside dRGT. The set of equations, which I have called "Vainshtein" conditions are extremal conditions of the dynamical metric (gμν) containing all the degrees of freedom of the theory. The Vainshtein conditions are able to explain the coincidence between the Vainshtein radius in dRGT and the scale [Formula: see text], obtained naturally from the Schwarzschild de-Sitter (S-dS) space inside general relativity (GR). In GR, this scale was interpreted as the maximum distance in order to get bound orbits. The same scale corresponds to the static observer position if we want to define the black hole temperature in an asymptotically de-Sitter space. In dRGT, the scale marks a limit after which the extra degrees of freedom of the theory become relevant.

scholarly journals A Topologically Charged Black Hole in thefℛBraneworld

2013 ◽  
Vol 2013 ◽  
pp. 1-8
Author(s):  
Alexis Larrañaga ◽  
Andres Rengifo ◽  
Luis Cabarique
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Charged Black Hole ◽  
Zero Temperature ◽  
Maximum Value ◽  
Topological Parameter ◽  
Small Scales ◽  
Black Hole Temperature

We find a new general black hole solution in the braneworld scenario, considering a modified 5-dimensionalfℛaction in the bulk. We study the horizon structure and find the possibility of two, one, or no horizon depending on the value of the topological parameterβ. On the thermodynamics side, we show that the value of the topological parameter determines the black hole temperature to have a divergent behaviour at small scales or to present a maximum value before cooling down towards a zero temperature remnant.

scholarly journals Black hole induced false vacuum decay from first principles

2021 ◽  
Vol 2021 (11) ◽  
Author(s):  
Andrey Shkerin ◽  
Sergey Sibiryakov
Keyword(s):  
Black Hole ◽  
Decay Rate ◽  
First Principles ◽  
Two Dimensional ◽  
False Vacuum ◽  
Dimensional Model ◽  
Vacuum Decay ◽  
Four Dimensions ◽  
Dilaton Black Hole ◽  
Black Hole Temperature

Abstract We provide a method to calculate the rate of false vacuum decay induced by a black hole. The method uses complex tunneling solutions and consistently takes into account the structure of different quantum vacua in the black hole metric via boundary conditions. The latter are connected to the asymptotic behavior of the time-ordered Green’s function in the corresponding vacua. We illustrate the technique on a two-dimensional toy model of a scalar field with inverted Liouville potential in an external background of a dilaton black hole. We analytically derive the exponential suppression of tunneling from the Boulware, Hartle-Hawking and Unruh vacua and show that they are parametrically different. The Unruh vacuum decay rate is exponentially smaller than the decay rate of the Hartle-Hawking state, though both rates become unsuppressed at high enough black hole temperature. We interpret the vanishing suppression of the Unruh vacuum decay at high temperature as an artifact of the two-dimensional model and discuss why this result can be modified in the realistic case of black holes in four dimensions.

scholarly journals Thermodynamics of non-commutative scalar-tensor-vector gravity black holes

2020 ◽  
pp. 2150024
Author(s):  
Sara Saghafi ◽  
Kourosh Nozari ◽  
Milad Hajebrahimi
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Coherent State ◽  
Thermodynamic Stability ◽  
Modified Gravity ◽  
Final Stage ◽  
Tunneling Mechanism ◽  
Massive Particles

In this paper, we analyze the thermodynamic stability of Schwarzschild Modified Gravity (MOG) black holes in a non-commutative framework. We show that, unlike a commutative MOG black hole, in the coherent state picture of non-commutativity MOG black holes are thermodynamically stable. At the final stage of evaporation a stable remnant with zero temperatures and finite entropy is left in this non-commutative framework. Also, we consider the Parikh–Wilczek tunneling mechanism of massive particles from non-commutative MOG black holes and demonstrate that information leaks out of non-commutative MOG black holes in the form of some non-thermal correlations.

scholarly journals QUANTIZATION OF BLACK HOLES ENTROPY AND ITS COSMOLOGICAL CONSEQUENCES

2013 ◽  
Vol 28 (16) ◽  
pp. 1350066 ◽  
Author(s):  
G. CRISTOFANO ◽  
G. MAIELLA ◽  
C. STORNAIOLO
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Degrees Of Freedom ◽  
Energy Levels ◽  
Hawking Temperature ◽  
Simple Interpretation ◽  
Level Number ◽  
Black Hole Temperature ◽  
Extremal Black Holes

Starting from a quantization relation for primordial extremal black holes with electric and magnetic charges, it is shown that their entropy is quantized. Furthermore, the energy levels spacing for such black holes is derived as a function of the level number n, appearing in the quantization relation. Some interesting cosmological consequences are presented for small values of n. By producing a mismatch between the mass and the charge, the black hole temperature is derived and its behavior investigated. Finally extending the quantum relation to Schwarzschild black holes their temperature is found to be in agreement with the Hawking temperature and a simple interpretation of the microscopic degrees of freedom of the black holes is given.

scholarly journals GUP parameter and black-hole temperature

2017 ◽  
Vol 120 (4) ◽  
pp. 40001 ◽  
Author(s):  
Elias C. Vagenas ◽  
Salwa M. Alsaleh ◽  
Ahmed Farag Ali
Keyword(s):  
Black Hole ◽  
Black Hole Temperature
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