scholarly journals Conformal invariance of black hole temperature

1993 ◽  
Vol 10 (11) ◽  
pp. L201-L206 ◽  
Author(s):  
T Jacobson ◽  
G Kang
Keyword(s):  
Black Hole ◽  
Conformal Invariance ◽  
Black Hole Temperature

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 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

WORLD-SHEET INSTANTONS IN THE 2D BLACK HOLE

1994 ◽  
Vol 09 (04) ◽  
pp. 591-604 ◽  
Author(s):  
A.V. YUNG
Keyword(s):  
Black Hole ◽  
Partition Function ◽  
Nonperturbative Effects ◽  
Conformal Invariance ◽  
Target Space ◽  
World Sheet ◽  
Space Geometry ◽  
Nonzero Contribution ◽  
Topological Term

Nonperturbative effects in the gauged SL (2, R)/ U (1) WZW model, which has the black hold target space geometry, are considered. It is shown that the model has world-sheet instantons which give a nonzero contribution to the partition function. The question of the breakdown of the conformal invariance by instantons is studied. The answer depends on whether the topological term is introduced into the model or not.

scholarly journals Black hole temperature: Minimal coupling vs conformal coupling

2014 ◽  
Vol 344 ◽  
pp. 232-252 ◽  
Author(s):  
Mohamadreza Fazel ◽  
Behrouz Mirza ◽  
Seyed Ali Hosseini Mansoori
Keyword(s):  
Black Hole ◽  
Minimal Coupling ◽  
Black Hole Temperature

scholarly journals ON HAWKING RADIATION AS TUNNELING WITH BACK-REACTION

2005 ◽  
Vol 20 (32) ◽  
pp. 2449-2453 ◽  
Author(s):  
A. J. M. MEDVED ◽  
ELIAS C. VAGENAS
Keyword(s):  
Black Hole ◽  
Hawking Radiation ◽  
Higher Order ◽  
Tree Level ◽  
Order Effects ◽  
Back Reaction ◽  
Refined Method ◽  
Higher Order Effects ◽  
Black Hole Temperature

Recently, Angheben et al.1 have presented a refined method for calculating the (tree-level) black hole temperature by way of the tunneling paradigm. Here, we demonstrate how their formalism can be suitably adapted to accommodate the (higher-order) effects of the gravitational back-reaction.

scholarly journals THERMODYNAMICS OF NONSPHERICAL BLACK HOLES FROM LIOUVILLE THEORY

2012 ◽  
Vol 27 (20) ◽  
pp. 1250111 ◽  
Author(s):  
FANG-FANG YUAN ◽  
YONG-CHANG HUANG
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Central Charge ◽  
Black Hole Entropy ◽  
Liouville Theory ◽  
Two Dimensional ◽  
Hamiltonian Approach ◽  
Black Rings ◽  
Dimensional Black Hole ◽  
Black Hole Temperature

A Liouville formalism was proposed many years ago to account for the black hole entropy. It was recently updated to connect thermodynamics of general black holes, in particular the Hawking temperature, to two-dimensional Liouville theory. This relies on the dimensional reduction to two-dimensional black hole metric. The relevant dilaton gravity model can be rewritten as a Liouville-like theory. We refine the method and give general formulas for the corresponding scalar and energy–momentum tensors in Liouville theory. This enables us to read off the black hole temperature using a relation which was found about three decades ago. Then the range of application is extended to include nonspherical black holes such as neutral and charged black rings, topological black hole and the case coupled to a scalar field. As for the entropy, following previous authors, we invoke the Lagrangian approach to central charge by Cadoni and then use the Cardy formula. The general relevant parameters are also given. This approach is more advantageous than the usual Hamiltonian approach which was used by the old Liouville formalism for black hole entropy.

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