scholarly journals Constant curvature black holes

1998 ◽  
Vol 57 (2) ◽  
pp. 1068-1072 ◽  
Author(s):  
Máximo Bañados
Keyword(s):  
Black Holes ◽  
Constant Curvature

scholarly journals THERMODYNAMICS OF CONSTANT CURVATURE BLACK HOLES THROUGH SEMICLASSICAL TUNNELING

2011 ◽  
Vol 26 (13) ◽  
pp. 937-947 ◽  
Author(s):  
ALEXANDRE YALE
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Constant Curvature ◽  
Hawking Radiation ◽  
Emission Rate ◽  
Yang Mills ◽  
Fermion Fields ◽  
Tunneling Method ◽  
Semiclassical Tunneling ◽  
Algorithmic Procedure

We study the semiclassical tunneling of scalar and fermion fields from the horizon of a Constant Curvature Black Hole, which is locally AdS and whose five-dimensional analogue is dual to [Formula: see text] super-Yang–Mills. In particular, we highlight the strong reliance of the tunneling method for Hawking radiation on near-horizon symmetries, a fact often hidden behind the algorithmic procedure with which the tunneling approach tends to be used. We ultimately calculate the emission rate of scalars and fermions, and hence the black hole's Hawking temperature.

scholarly journals Exact charged black hole solutions in D-dimensions in f(R) gravity

2021 ◽  
Vol 81 (4) ◽  
Author(s):  
Zi-Yu Tang ◽  
Bin Wang ◽  
Eleftherios Papantonopoulos
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
General Solution ◽  
Constant Curvature ◽  
Black Hole Solution ◽  
Einstein Gravity ◽  
Charged Black Hole ◽  
Spherically Symmetric ◽  
Spherically Symmetric Metric ◽  
Black Hole Solutions

AbstractWe consider Maxwell-f(R) gravity and obtain an exact charged black hole solution with dynamic curvature in D-dimensions. Considering a spherically symmetric metric ansatz and without specifying the form of f(R) we find a general black hole solution in D-dimensions. This general black hole solution can reduce to the Reissner–Nordström (RN) black hole in D-dimensions in Einstein gravity and to the known charged black hole solutions with constant curvature in f(R) gravity. Restricting the parameters of the general solution we get polynomial solutions which reveal novel properties when compared to RN black holes. Specifically we study the solution in $$(3+1)$$ ( 3 + 1 ) -dimensions in which the form of f(R) can be solved explicitly giving a dynamic curvature and compare it with the RN black hole. We also carry out a detailed study of its thermodynamics.

scholarly journals Constant curvature black holes in Einstein-AdS gravity: Conserved quantities

2017 ◽  
Vol 95 (12) ◽  
Author(s):  
Pablo Guilleminot ◽  
Rodrigo Olea ◽  
Alexander N. Petrov
Keyword(s):  
Black Holes ◽  
Constant Curvature ◽  
Conserved Quantities

scholarly journals Constant curvature black holes in Einstein AdS gravity: Euclidean action and thermodynamics

2018 ◽  
Vol 97 (6) ◽  
Author(s):  
Pablo Guilleminot ◽  
Rodrigo Olea ◽  
Alexander N. Petrov
Keyword(s):  
Black Holes ◽  
Constant Curvature ◽  
Euclidean Action

scholarly journals New solutions of exotic charged black holes and their stability

2016 ◽  
Vol 25 (03) ◽  
pp. 1650030 ◽  
Author(s):  
N. Farhangkhah
Keyword(s):  
Black Holes ◽  
Constant Curvature ◽  
Electric Charge ◽  
Weyl Tensor ◽  
Stable Phase ◽  
Thermodynamic Quantities ◽  
Third Order ◽  
Horizon Radius ◽  
Central Singularity ◽  
The Stability

We find a class of charged black hole solutions in third-order Lovelock Gravity. To obtain this class of solutions, we are not confined to the usual assumption of maximal symmetry on the horizon and will consider the solution whose boundary is Einstein space with supplementary conditions on its Weyl tensor. The Weyl tensor of such exotic horizons exposes two chargelike parameter to the solution. These parameters in addition with the electric charge, cause different features in comparison with the charged solution with constant-curvature horizon. For this class of asymptotically (A)dS solutions, the electric charge dominates the behavior of the metric as [Formula: see text] goes to zero, and thus the central singularity is always timelike. We also compute the thermodynamic quantities for these solutions and will show that the first law of thermodynamics is satisfied. We also show that the extreme black holes with nonconstant-curvature horizons whose Ricci scalar are zero or a positive constant could exist depending on the value of the electric charge and chargelike parameters. Finally, we investigate the stability of the black holes by analyzing the behavior of free energy and heat capacity specially in the limits of small and large horizon radius. We will show that in contrast with charged solution with constant-curvature horizon, a phase transition occurs between very small and small black holes from a stable phase to an unstable one, while the large black holes show stability to both perturbative and nonperturbative fluctuations.

scholarly journals STATIC SPHERICALLY SYMMETRIC SOLUTIONS FOR CONFORMAL GRAVITY IN THREE DIMENSIONS

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1588-1592 ◽  
Author(s):  
JULIO OLIVA ◽  
DAVID TEMPO ◽  
RICARDO TRONCOSO
Keyword(s):  
Black Holes ◽  
Constant Curvature ◽  
Conformal Transformation ◽  
Three Dimensions ◽  
Spherically Symmetric ◽  
Conformal Gravity ◽  
Spatial Curvature ◽  
Static Universe ◽  
Spherically Symmetric Solutions ◽  
Static Spherically Symmetric Solutions

Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they are conformally related to the matching of different solutions of constant curvature by means of an improper conformal transformation. The wormholes can be constructed from suitable identifications of a static universe of negative spatial curvature, and it is shown that they correspond to the conformal matching of two black hole solutions with the same mass.

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