Charged stringy black holes with non-abelian hair

Donets, E. E.; Gal’tsov, D.V.

doi:10.1016/0370-2693(93)90973-l

Cited by 15 publications

(29 citation statements)

References 17 publications

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“…Obviously the limiting solution cannot be a magnetically charged EMD black hole. Instead the limiting solution turns out to be the lowest magnetically charged SU(3) black hole solution found in [26]. This limiting solution is also shown in Figs.…”

Section: (1 1 + N) Sequencessupporting

confidence: 51%

“…For γ = 0 the black hole solutions exist for any n down to arbitrary small horizon. In the limit x H → 0 an "extremal" solution is obtained [26].…”

Section: Appendix B: Charged Su(3) Einstein-yang-mills Black Holesmentioning

confidence: 99%

“…Here we construct genuine SU(3) black hole solutions with general node structure (n 1 , n 2 ). We show, that these solutions fall into sequences with node structure (j, j +n), and we identify the limiting solutions of the new sequences with fixed finite j with the known magnetically charged SU(3) black hole solutions [26,25]. We study the convergence of the matter and metric functions and of the global properties for these sequences of solutions.…”

Section: Introductionmentioning

confidence: 98%

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Sequences of Einstein-Yang-Mills-dilaton black holes

1996

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Einstein-Yang-Mills-dilaton theory possesses sequences of neutral static spherically symmetric black hole solutions. The solutions depend on the dilaton coupling constant γ and on the horizon. The SU(2) solutions are labelled by the number of nodes n of the single gauge field function, whereas the SO(3) solutions are labelled by the nodes (n 1 , n 2 ) of both gauge field functions. The SO(3) solutions form sequences characterized by the node structure (j, j + n), where j is fixed. The sequences of magnetically neutral solutions tend to magnetically charged limiting solutions. For finite j the SO(3) sequences tend to magnetically charged Einstein-Yang-Mills-dilaton solutions with j nodes and charge P = √ 3. For j = 0 and j → ∞ the SO(3) sequences tend to Einstein-Maxwell-dilaton solutions with magnetic charges P = √ 3 and P = 2, respectively. The latter also represent the scaled limiting solutions of the SU(2) sequence. The convergence of the global properties of the black hole solutions, such as mass, dilaton charge and Hawking temperature, is exponential. The degree of convergence of the matter and metric functions of the black hole solutions is related to the relative location of the horizon to the nodes of the corresponding regular solutions.Preprint hep-th/9605109 Recently static black hole solutions have also been studied in Einstein-Yang-Millsdilaton (EYMD) theory [3,4,5,6,7]. SU(2) EYMD theory possesses a sequence of magnetically neutral static spherically symmetric black hole solutions, labelled by the number of nodes n of the single gauge field function. The solutions exist for arbitrary event horizon x H > 0 [3,4,5,6,7]. Here, in the limit x H → 0 regular particle-like solutions are obtained [3,4,5,8,6,7].For finite dilaton coupling constant γ, the sequence of regular neutral SU(2) EYMD solutions tends to the "extremal" EMD solution with the same dilaton coupling constant γ and with charge P = 1 for large n [4,8]. For finite event horizon x H and dilaton coupling constant γ, the corresponding sequence of neutral black hole solutions of SU(2) EYMD theory also tends to a limiting solution for large n. This limiting solution is the EMD black hole solution with the same event horizon x H , the same dilaton coupling constant γ, and with magnetic charge P = 1 [7].The magnetically neutral black hole solutions of EYMD theory have many features in common with those of Einstein-Yang-Mills (EYM) theory [9,10,11,12]. In fact, in the limit of vanishing dilaton coupling constant γ, the EYMD black hole solutions approach those of EYM theory. In SU(2) EYM theory, the limiting solutions are the RN black holes with charge P = 1 and event horizon x H , for x H > 1 [13,14,15,16]. For sequences of black holes with x H < 1 and for the regular sequence [17], the limiting solutions are different [13,14,15,16].The non-abelian SU(2) black hole solutions do not possess a global YM charge. Since they are characterized not only by their mass but in addition by an interger n, they represent (unstable [18, 19, 20, 21, 22]) counterexa...

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Section: (1 1 + N) Sequencessupporting

confidence: 51%

“…For γ = 0 the black hole solutions exist for any n down to arbitrary small horizon. In the limit x H → 0 an "extremal" solution is obtained [26].…”

Section: Appendix B: Charged Su(3) Einstein-yang-mills Black Holesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

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Sequences of Einstein-Yang-Mills-dilaton black holes

1996

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“…The SU(2) non-Abelian black holes admit generalizations to higher gauge groups [136,111,114,214,204,206,205,207,195,194,295]. These exist for all values of the dilaton coupling constant γ.…”

Section: Higher Gauge Groups and Winding Numbersmentioning

confidence: 99%

Gravitating non-Abelian solitons and black holes with Yang–Mills fields

1999

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We present a review of gravitating particle-like and black hole solutions with non-Abelian gauge fields. The emphasis is given to the description of the structure of the solutions and to the connection with the results of flat space soliton physics. We describe the Bartnik-McKinnon solitons and the non-Abelian black holes arising in the Einstein-Yang-Mills theory, and consider their various generalizations. These include axially symmetric and slowly rotating configurations, solutions with higher gauge groups, Λ-term, dilaton, and higher curvature corrections. The stability issue is discussed as well. We also describe the gravitating generalizations for flat space monopoles, sphalerons, and Skyrmions.

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“…Analogously to EYM theory, in SU(2) and SU(3) EYMD theory sequences of neutral globally regular and black hole solutions exist [13,6]. The neutral SU(2) EYMD black hole solutions converge to magnetically charged Einstein-Maxwell-dilaton (EMD) black hole solutions [14], and the neutral SU(3) EYMD solutions converge to limiting magnetically charged solutions, in which again one of the two SU(3) gauge field functions is identically zero [15,6]. In general, the SU(N) EYM classification remains valid for SU(N) EYMD theory.…”

Section: Inclusion Of the Dilatonmentioning

confidence: 99%

Charged SU(N) Einstein-Yang-Mills black holes

1998

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We consider asymptotically flat static spherically symmetric black hole solutions in SU (N ) Einstein-Yang-Mills theory. Embedding the N -dimensional representation of su(2) in su(N ), the purely magnetic gauge field ansatz contains N − 1 functions. When one or more of these gauge field functions are identically zero, magnetically charged EYM black hole solutions emerge, consisting of a neutral and a charged gauge field part, based on non-abelian subalgebras and the Cartan subalgebra of su(N ), respectively. We classify these charged black hole solutions in general and present numerical solutions for SU (5) EYM theory.

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Charged stringy black holes with non-abelian hair

Cited by 15 publications

References 17 publications

Sequences of Einstein-Yang-Mills-dilaton black holes

Sequences of Einstein-Yang-Mills-dilaton black holes

Gravitating non-Abelian solitons and black holes with Yang–Mills fields

Charged SU(N) Einstein-Yang-Mills black holes

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