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 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

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

Rotating charged black hole spacetimes in quadratic f(R) gravitational theories

2018 ◽  
Vol 27 (07) ◽  
pp. 1850074 ◽  
Author(s):  
G. G. L. Nashed
Keyword(s):  
Black Holes ◽  
Energy Condition ◽  
Energy Conditions ◽  
Conserved Quantities ◽  
De Sitter ◽  
Black Hole Spacetimes ◽  
Symmetric Spacetimes ◽  
Gravitational Theories ◽  
Sitter Spacetime ◽  
General Vector

Motivated by the substantial modifications of gravitational theories and by the models that come out of [Formula: see text], we apply the field equation of the charged [Formula: see text] as well as a general vector potential containing three unknown functions to two spherically symmetric spacetimes. We solve the output of the differential equations and derive a class of black holes that are electrically and magnetically rotating spacetimes. The asymptotic behavior of these black holes acts as anti-de Sitter spacetime. Moreover, these solutions have asymptotic curvature singularities as those of General Relativity. We investigate this by calculating the invariants of curvature. Also, we address the issue of the energy conditions and show that the strong energy condition is satisfied provided [Formula: see text]. Finally, we compute the conserved quantities like mass and angular momentum.

scholarly journals Light from Schwarzschild black holes in de Sitter expanding universe

2021 ◽  
Vol 81 (1) ◽  
Author(s):  
Ion I. Cotăescu
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Moving Frame ◽  
Conserved Quantities ◽  
Expanding Universe ◽  
De Sitter ◽  
Schwarzschild Black Hole ◽  
Peculiar Velocities ◽  
Algebraic Code ◽  
Maple Code

AbstractA new method is applied for deriving simultaneously the redshift and shadow of a Schwarzschild black hole moving freely in the de Sitter expanding universe as recorded by a remote co-moving observer. This method is mainly algebraic, focusing on the transformation of the conserved quantities under the de Sitter isometry relating the black hole co-moving frame to observer’s one. Hereby one extracts the general expressions of the redshifts and shadows of the black holes having peculiar velocities but their expressions are too extended to be written down here. Therefore, only some particular cases and intuitive expansions are presented while the complete results are given in an algebraic code (Cotăescu in Maple code BH01, https://physics.uvt.ro/~cota/CCFT/codes, 2020).

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 ENTROPY OF SELF–GRAVITATING SYSTEMS FROM HOLST'S LAGRANGIAN

2009 ◽  
Vol 06 (02) ◽  
pp. 361-365 ◽  
Author(s):  
L. FATIBENE ◽  
M. FERRARIS ◽  
M. FRANCAVIGLIA ◽  
G. PACCHIELLA
Keyword(s):  
Black Holes ◽  
Conservation Laws ◽  
Conserved Quantities ◽  
Gravitating Systems

We shall prove here that conservation laws from Holst's Lagrangian, often used in LQG, do not agree with the corresponding conservation laws in standard GR. Nevertheless, these differences vanish on-shell, i.e. along solutions, so that they eventually define the same classical conserved quantities. Accordingly, they define in particular the same entropy of solutions, and the standard law [Formula: see text] is reproduced for systems described by Holst's Lagrangian. This provides the classical support to the computation usually done in LQG for the entropy of black holes which is in turn used to fix the Barbero–Immirzi parameter.

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