scholarly journals An investigation of the limiting behavior of particle-like solutions to the Einstein-Yang/Mills equations and a new black hole solution

1994 ◽  
Vol 161 (2) ◽  
pp. 365-389 ◽  
Author(s):  
J. A. Smoller ◽  
A. G. Wasserman
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Limiting Behavior ◽  
Yang Mills

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.

scholarly journals Black holes in magnetic monopoles with a dark halo

2019 ◽  
Vol 34 (01) ◽  
pp. 1950002 ◽  
Author(s):  
A. Lugo ◽  
J. M. Pérez Ipiña ◽  
F. A. Schaposnik
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Scalar Potential ◽  
Magnetic Monopoles ◽  
Dark Halo ◽  
Higgs Potential ◽  
Coupling Constant ◽  
Horizon Radius ◽  
Yang Mills ◽  
Higgs Portal

We study a spontaneously broken Einstein–Yang–Mills–Higgs model coupled via a Higgs portal to an uncharged scalar [Formula: see text]. We present a phase diagram of self-gravitating solutions showing that depending on the choice of parameters of the [Formula: see text] scalar potential and the Higgs portal coupling constant [Formula: see text], one can identify different regions: If [Formula: see text] is sufficiently small, a [Formula: see text] halo is created around the monopole core which in turn surrounds a black hole. For larger values of [Formula: see text], no halo exists and the solution is just a black hole monopole one. When the horizon radius grows and becomes larger than the monopole radius, solely a black hole solution exists. Because of the presence of the [Formula: see text] scalar, a bound for the Higgs potential coupling constant exists and when it is not satisfied, the vacuum is unstable and no nontrivial solution exists. We briefly comment on possible connections of our results with those found in recent dark matter axion models.

scholarly journals Energy Distribution of a Regular Black Hole Solution in Einstein-Nonlinear Electrodynamics

2015 ◽  
Vol 2015 ◽  
pp. 1-12 ◽  
Author(s):  
I. Radinschi ◽  
F. Rahaman ◽  
Th. Grammenos ◽  
A. Spanou ◽  
Sayeedul Islam
Keyword(s):  
Black Hole ◽  
Positive Integer ◽  
Energy Distribution ◽  
Black Hole Solution ◽  
Mass Function ◽  
Nonlinear Electrodynamics ◽  
Radial Coordinate ◽  
Regular Black Hole ◽  
Limiting Behavior ◽  
Special Case

A study about the energy momentum of a new four-dimensional spherically symmetric, static and charged, regular black hole solution developed in the context of general relativity coupled to nonlinear electrodynamics is presented. Asymptotically, this new black hole solution behaves as the Reissner-Nordström solution only for the particular valueμ=4, whereμis a positive integer parameter appearing in the mass function of the solution. The calculations are performed by use of the Einstein, Landau-Lifshitz, Weinberg, and Møller energy momentum complexes. In all the aforementioned prescriptions, the expressions for the energy of the gravitating system considered depend on the massMof the black hole, its chargeq, a positive integerα, and the radial coordinater. In all these pseudotensorial prescriptions, the momenta are found to vanish, while the Landau-Lifshitz and Weinberg prescriptions give the same result for the energy distribution. In addition, the limiting behavior of the energy for the casesr→∞,r→0, andq=0is studied. The special caseμ=4andα=3is also examined. We conclude that the Einstein and Møller energy momentum complexes can be considered as the most reliable tools for the study of the energy momentum localization of a gravitating system.

scholarly journals Energy-Momentum for a Charged Nonsingular Black Hole Solution with a Nonlinear Mass Function

2017 ◽  
Vol 2017 ◽  
pp. 1-10 ◽  
Author(s):  
Irina Radinschi ◽  
Theophanes Grammenos ◽  
Farook Rahaman ◽  
Andromahi Spanou ◽  
Sayeedul Islam ◽  
...  
Keyword(s):  
Black Hole ◽  
Energy Distribution ◽  
Black Hole Solution ◽  
Mass Function ◽  
Nonlinear Electrodynamics ◽  
Logistic Distribution ◽  
Radial Coordinate ◽  
Additional Parameter ◽  
Limiting Behavior ◽  
Energy And Momentum

The energy-momentum of a new four-dimensional, charged, spherically symmetric, and nonsingular black hole solution constructed in the context of general relativity coupled to a theory of nonlinear electrodynamics is investigated, whereby the nonlinear mass function is inspired by the probability density function of the continuous logistic distribution. The energy and momentum distributions are calculated by use of the Einstein, Landau-Lifshitz, Weinberg, and Møller energy-momentum complexes. In all these prescriptions, it is found that the energy distribution depends on the mass M and the charge q of the black hole, an additional parameter β coming from the gravitational background considered, and the radial coordinate r. Further, the Landau-Lifshitz and Weinberg prescriptions yield the same result for the energy, while, in all the aforesaid prescriptions, all the momenta vanish. We also focus on the study of the limiting behavior of the energy for different values of the radial coordinate, the parameter β, and the charge q. Finally, it is pointed out that, for r→∞ and q=0, all the energy-momentum complexes yield the same expression for the energy distribution as in the case of the Schwarzschild black hole solution.

scholarly journals 5D black hole solution in Einstein-Yang-Mills-Gauss-Bonnet theory

2007 ◽  
Vol 76 (8) ◽  
Author(s):  
S. Habib Mazharimousavi ◽  
M. Halilsoy
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Yang Mills

Black hole solution of Gauss–Bonnet-massive gravity coupled to nonlinear Maxwell and Yang–Mills fields in higher dimensions

2019 ◽  
Vol 34 (16) ◽  
pp. 1950121
Author(s):  
Jun Li ◽  
Kun Meng
Keyword(s):  
Black Hole ◽  
Black Hole Solution ◽  
Higher Dimensions ◽  
Massive Gravity ◽  
Black Hole Thermodynamics ◽  
Thermodynamic Quantities ◽  
Extended Phase Space ◽  
Extended Phase ◽  
Yang Mills ◽  
Static Black Hole

We construct a static black hole solution of Gauss–Bonnet-massive gravity coupled to nonlinear Maxwell and Yang–Mills fields in higher dimensions. Then we calculate related thermodynamic quantities, check the validity of the first law of black hole thermodynamics and analyze the phase transition behaviors of the black hole in extended phase space.

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