scholarly journals Static axially symmetric solutions of Einstein-Yang-Mills equations with a negative cosmological constant: Black hole solutions

2004 ◽  
Vol 70 (8) ◽  
Author(s):  
Eugen Radu ◽  
Elizabeth Winstanley
Keyword(s):  
Black Hole ◽  
Cosmological Constant ◽  
Axially Symmetric ◽  
Yang Mills ◽  
Negative Cosmological Constant ◽  
Black Hole Solutions

scholarly journals MAGNETIC CHARGE, ANGULAR MOMENTUM AND NEGATIVE COSMOLOGICAL CONSTANT

2003 ◽  
Vol 18 (13) ◽  
pp. 2379-2393 ◽  
Author(s):  
J. J. VAN DER BIJ ◽  
EUGEN RADU
Keyword(s):  
Angular Momentum ◽  
Cosmological Constant ◽  
Electric Charge ◽  
Magnetic Charge ◽  
Flat Space ◽  
Space Time ◽  
Axially Symmetric ◽  
Yang Mills ◽  
Negative Cosmological Constant

We argue that there are no axially symmetric rotating monopole solutions for a Yang–Mills–Higgs theory in flat space–time background. We construct axially symmetric Yang–Mills–Higgs solutions in the presence of a negative cosmological constant, carrying magnetic charge n and a nonvanishing electric charge. However, these solution are also nonrotating.

scholarly journals Central charges for AdS black holes

2021 ◽  
Author(s):  
Malcolm Perry ◽  
Maria J Rodriguez
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Cosmological Constant ◽  
Central Charge ◽  
Negative Cosmological Constant ◽  
Ads Black Holes ◽  
Kerr Black Holes ◽  
Distinguishing Features ◽  
Area Law ◽  
Cardy Formula

Abstract Nontrivial diffeomorphisms act on the horizon of a generic 4D black holes and create distinguishing features referred to as soft hair. Amongst these are a left-right pair of Virasoro algebras with associated charges that reproduce the Bekenstein-Hawking entropy for Kerr black holes. In this paper we show that if one adds a negative cosmological constant, there is a similar set of infinitesimal diffeomorphisms that act non-trivially on the horizon. The algebra of these diffeomorphisms gives rise to a central charge. Adding a boundary counterterm, justified to achieve integrability, leads to well-defined central charges with cL = cR. The macroscopic area law for Kerr-AdS black holes follows from the assumption of a Cardy formula governing the black hole microstates.

scholarly journals Black Hole Solution of Einstein-Born-Infeld-Yang-Mills Theory

2017 ◽  
Vol 2017 ◽  
pp. 1-7 ◽  
Author(s):  
Kun Meng ◽  
Da-Bao Yang ◽  
Zhan-Ning Hu
Keyword(s):  
Phase Transition ◽  
Black Hole ◽  
Phase Space ◽  
Cosmological Constant ◽  
Black Hole Solution ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Yang Mills ◽  
First Law Of Thermodynamics ◽  
Dimensional Black Hole

A new four-dimensional black hole solution of Einstein-Born-Infeld-Yang-Mills theory is constructed; several degenerated forms of the black hole solution are presented. The related thermodynamical quantities are calculated, with which the first law of thermodynamics is checked to be satisfied. Identifying the cosmological constant as pressure of the system, the phase transition behaviors of the black hole in the extended phase space are studied.

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