scholarly journals Uniqueness theorem for stationary black hole solutions ofσ-models in five dimensions

2004 ◽  
Vol 70 (8) ◽  
Author(s):  
Marek Rogatko
Keyword(s):  
Black Hole ◽  
Uniqueness Theorem ◽  
Stationary Black Hole ◽  
Five Dimensions ◽  
Black Hole Solutions

scholarly journals A SLOWLY ROTATING CHARGED BLACK HOLE IN FIVE DIMENSIONS

2006 ◽  
Vol 21 (09) ◽  
pp. 751-757 ◽  
Author(s):  
A. N. ALIEV
Keyword(s):  
General Relativity ◽  
Black Hole ◽  
System Of Equations ◽  
Maxwell System ◽  
Five Dimensions ◽  
Four Dimensions ◽  
Higher Dimensional ◽  
Long Time ◽  
Electrically Charged ◽  
Black Hole Solutions

Black hole solutions in higher dimensional Einstein and Einstein–Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild, Reissner–Nordström and Kerr solutions of four-dimensional general relativity. However, higher dimensional generalization of the Kerr–Newman solution in four dimensions has not been found yet. As a first step in this direction we shall report on a new solution of the Einstein–Maxwell system of equations that describes an electrically charged and slowly rotating black hole in five dimensions.

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 Twist of a stationary black hole or ring in five dimensions

2004 ◽  
Vol 70 (6) ◽  
Author(s):  
Shinya Tomizawa ◽  
Yuki Uchida ◽  
Tetsuya Shiromizu
Keyword(s):  
Black Hole ◽  
Stationary Black Hole ◽  
Five Dimensions

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.

scholarly journals Mimetic gravity in (2 + 1)-dimensions

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ahmad Sheykhi
Keyword(s):  
Black Hole ◽  
Physical Properties ◽  
De Sitter ◽  
Stationary Black Hole ◽  
Mimetic Theory ◽  
Dimensional Black Hole ◽  
Ads Spacetime ◽  
First Time ◽  
Mimetic Gravity ◽  
Black Hole Solutions

Abstract One of the most important achievements in general relativity has been discovery of the (2 + 1)-dimensional black hole solutions of Einstein gravity in anti-de Sitter (AdS) spacetime [7]. In this paper, we construct, for the first time, the (2 + 1)-dimensional solutions of mimetic theory of gravity. These solutions may provide a powerful background to investigate the physical properties of mimetic gravity and examine its viability in lower spacetime dimensions. In particular, some physical properties of stationary black hole solutions of this theory in the presence of charge or angular momentum are investigated.

scholarly journals New five-dimensional Bianchi type magnetically charged hairy topological black hole solutions in string theory

2019 ◽  
Vol 79 (12) ◽  
Author(s):  
F. Naderi ◽  
A. Rezaei-Aghdam
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Bianchi Type ◽  
Magnetic Charge ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Five Dimensions ◽  
Asymptotically Flat ◽  
Black Hole Solutions ◽  
Three Dimensional Space

AbstractWe construct black hole solutions to the leading order of string effective action in five dimensions with the source given by dilaton and magnetically charged antisymmetric gauge B-field. Presence of the considered B-field leads to the unusual asymptotic behavior of the solutions which are neither asymptotically flat nor asymptotically (A)dS. We consider the three-dimensional space part to correspond to the Bianchi classes and so the horizons of these topological black hole solutions are modeled by seven homogeneous Thurston’s geometries of $$E^3$$E3, $$S^3$$S3, $$H^3$$H3, $$ H^2 \times E^1$$H2×E1, $$\widetilde{{SL_2R}}$$SL2R~, nilgeometry, and solvegeometry. Calculating the quasi-local mass, temperature, entropy, dilaton charge, and magnetic potential, we show that the first law of black hole thermodynamics is satisfied by these quantities and the dilaton charge is not independent of mass and magnetic charge. Furthermore, for Bianchi type V, the T-dual black hole solution is obtained which carries no charge associated with B-field and the entropy turns to be invariant under the T-duality.

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