scholarly journals Static black hole solutions without rotational symmetry

1995 ◽  
Vol 52 (6) ◽  
pp. 3440-3456 ◽  
Author(s):  
S. Alexander Ridgway ◽  
Erick J. Weinberg
Keyword(s):  
Black Hole ◽  
Rotational Symmetry ◽  
Static Black Hole ◽  
Black Hole Solutions

scholarly journals Black hole solutions in gravity with nonminimal derivative coupling and nonlinear material fields

2020 ◽  
Vol 29 (03) ◽  
pp. 2050025 ◽  
Author(s):  
Mykola M. Stetsko
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Electromagnetic Field ◽  
Nonlinear Material ◽  
Derivative Coupling ◽  
First Law Of Thermodynamics ◽  
Tensor Theory ◽  
Static Black Hole ◽  
Nonlinear Lagrangians ◽  
Black Hole Solutions

Scalar–tensor theory of gravity with nonlinear electromagnetic field, minimally coupled to gravity is considered and static black hole solutions are obtained. Namely, power-law and Born–Infeld nonlinear Lagrangians for the electromagnetic field are examined. Since the cosmological constant is taken into account, it allowed us to investigate the so-called topological black holes. Black hole thermodynamics is studied, in particular temperature of the black holes is calculated and examined and the first law of thermodynamics is obtained with help of Wald’s approach.

scholarly journals Static black hole solutions with a self-interacting conformally coupled scalar field

2008 ◽  
Vol 77 (10) ◽  
Author(s):  
Gustavo Dotti ◽  
Reinaldo J. Gleiser ◽  
Cristián Martínez
Keyword(s):  
Black Hole ◽  
Scalar Field ◽  
Static Black Hole ◽  
Black Hole Solutions

scholarly journals Spherically symmetric black holes with electric and magnetic charge in extended gravity: physical properties, causal structure, and stability analysis in Einstein’s and Jordan’s frames

2020 ◽  
Vol 80 (2) ◽  
Author(s):  
E. Elizalde ◽  
G. G. L. Nashed ◽  
S. Nojiri ◽  
S. D. Odintsov
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Stability Analysis ◽  
Physical Properties ◽  
Causal Structure ◽  
Hawking Temperature ◽  
The Novel ◽  
Extended Gravity ◽  
Static Black Hole ◽  
Black Hole Solutions

Abstract Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $$f({{{\mathcal {R}}}})={{{\mathcal {R}}}}+2\beta \sqrt{{{\mathcal {R}}}}$$f(R)=R+2βR, with or without a cosmological constant. The new black holes behave asymptotically as flat or (A)dS space-times with a dynamical value of the Ricci scalar given by $$R=\frac{1}{r^2}$$R=1r2 and $$R=\frac{8r^2\Lambda +1}{r^2}$$R=8r2Λ+1r2, respectively. They are characterized by three parameters, namely their mass and electric and magnetic charges, and constitute black hole solutions different from those in Einstein’s general relativity. Their singularities are studied by obtaining the Kretschmann scalar and Ricci tensor, which shows a dependence on the parameter $$\beta $$β that is not permitted to be zero. A conformal transformation is used to display the black holes in Einstein’s frame and check if its physical behavior is changed w.r.t. the Jordan one. To this end, thermodynamical quantities, as the entropy, Hawking temperature, quasi-local energy, and the Gibbs free energy are calculated to investigate the thermal stability of the solutions. Also, the casual structure of the new black holes is studied, and a stability analysis is performed in both frames using the odd perturbations technique and the study of the geodesic deviation. It is concluded that, generically, there is coincidence of the physical properties of the novel black holes in both frames, although this turns not to be the case for the Hawking temperature.

Slowly rotating black holes with nonlinear electrodynamics in five dimensions

2014 ◽  
Vol 23 (11) ◽  
pp. 1450095 ◽  
Author(s):  
S. H. Hendi ◽  
M. Sepehri Rad
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Einstein Gravity ◽  
Rotation Parameter ◽  
Nonlinear Electrodynamics ◽  
Five Dimensions ◽  
Angular Momenta ◽  
Static Black Hole ◽  
Rotating Black Holes ◽  
Black Hole Solutions

Employing linear order perturbation theory with the rotation parameter as the perturbative parameter, we obtain asymptotically AdS slowly rotating black hole solutions in the Einstein gravity with Born–Infeld (BI) type nonlinear electrodynamics (NED). We start from asymptotically AdS static black hole solutions coupled to BI type NED in five dimensions. Then, we consider the effect of adding a small amount of angular momenta to the seed solutions. Finally, we investigate the geometry and thermodynamic properties of the solutions.

scholarly journals Static Black-Hole Solutions with Axial Symmetry

1997 ◽  
Vol 79 (9) ◽  
pp. 1595-1598 ◽  
Author(s):  
Burkhard Kleihaus ◽  
Jutta Kunz
Keyword(s):  
Black Hole ◽  
Axial Symmetry ◽  
Static Black Hole ◽  
Black Hole Solutions

scholarly journals Are all static black hole solutions spherically symmetric?

1995 ◽  
Vol 27 (10) ◽  
pp. 1017-1021 ◽  
Author(s):  
S. Alexander Ridgway ◽  
Erick J. Weinberg
Keyword(s):  
Black Hole ◽  
Spherically Symmetric ◽  
Static Black Hole ◽  
Black Hole Solutions

scholarly journals PHASES OF HIGHER DIMENSIONAL BLACK HOLES

2008 ◽  
Vol 23 (31) ◽  
pp. 2625-2643 ◽  
Author(s):  
VASILIS NIARCHOS
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Stationary Black Hole ◽  
Black Rings ◽  
First Case ◽  
Static Black Hole ◽  
Higher Dimensional ◽  
Pure Gravity ◽  
Black Hole Solutions ◽  
Kaluza Klein

We review some of the most striking properties of the phase diagrams of higher dimensional black holes in pure gravity. We focus on static black hole solutions with Kaluza–Klein asymptotics and stationary black hole solutions in flat Minkowski space. Both cases exhibit a rich pattern of interconnected phases and merger points with topology changing transitions. In the first case, the phase diagram includes uniform and non-uniform black strings, localized black holes and sequences of Kaluza–Klein bubbles. In the latter case, it includes Myers–Perry black holes, black rings, black saturns and pinched black holes.

Black holes in D = 4 higher-derivative gravity

2015 ◽  
Vol 30 (28n29) ◽  
pp. 1545016 ◽  
Author(s):  
H. Lü ◽  
A. Perkins ◽  
C. N. Pope ◽  
K. S. Stelle
Keyword(s):  
Black Hole ◽  
Type Theorem ◽  
Einstein Gravity ◽  
Schwarzschild Solution ◽  
Four Dimensions ◽  
Higher Derivative ◽  
Static Black Hole ◽  
Higher Order Derivative ◽  
Effective Theories ◽  
Black Hole Solutions

Extensions of Einstein gravity with higher-order derivative terms are natural generalizations of Einstein’s theory of gravity. They may arise in string theory and other effective theories, as well as being of interest in their own right. In this paper we study static black-hole solutions in the example of Einstein gravity with additional quadratic curvature terms in four dimensions. A Lichnerowicz-type theorem simplifies the analysis by establishing that they must have vanishing Ricci scalar curvature. By numerical methods we then demonstrate the existence of further black-hole solutions over and above the Schwarzschild solution. We discuss some of their thermodynamic properties, and show that they obey the first law of thermodynamics.

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