Abstract
We consider globally regular and black hole solutions in SU(2) Einstein–Yang–Mills–Higgs theory, coupled to a dilaton field. The basic solutions represent magnetic monopoles, monopole–antimonopole systems or black holes with monopole or dipole hair. When the globally regular solutions carry additionally electric charge, an angular momentum density results, except in the simplest spherically symmetric case. We evaluate the global charges of the solutions and their effective action, and analyze their dependence on the gravitational coupling strength. We show, that in the presence of a dilaton field, the black hole solutions satisfy a generalized Smarr type mass formula.
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References
Israel W. (1968). Commun. Math. Phys. 8: 245
Robinson D.C. (1975). Phys. Rev. Lett. 34: 905
Mazur P. (1982). J. Phys. A 15: 3173
Heusler M. (1996). Black Hole Uniqueness Theorems. Cambrigde University Press, Cambridge
Quevedo H. and Mashhoon B. (1990). Phys. Lett. A 148: 149
Quevedo H. and Mashhoon B. (1991). Phys. Rev. D 43: 3902
Gibbons G.W. and Maeda K. (1988). Nucl. Phys. B 298: 741
Garfinkle D., Horowitz G.T. and Strominger A. (1991). Phys. Rev. D 43: 3140
Wald, R.: The first law of black hole mechanics, vol. 1. In: Hu, B.L., Ryan, M.P. Jr., Vishveshwara, C.V., Jacobson, T.A. (eds.) Directions in general relativity, pp. 358–366, Cambridge University Press, Cambridge. gr-qc/9305022 (1993)
Rasheed D. (1995). Nucl.Phys. B 454: 379
Kleihaus B., Kunz J. and Navarro-Lérida F. (2004). Phys. Rev. D 69: 081501
Volkov M.S. and Gal’tsov D.V. (1999). Phys. Rept. 319: 1
Gal’tsov D.V.: hep-th/0112038, Proceedings of the 16th International Conference on General Relativity and Gravitation, July 2001, Durban, South Africa
Volkov M.S. and Galt’sov D.V. (1990). Sov. J. Nucl. Phys. 51: 747
Bizon P. (1990). Phys. Rev. Lett. 64: 2844
Künzle H.P. and Masoud-ul-Alam A.K.M. (1990). J. Math. Phys. 31: 928
Lee K., Nair V.P. and Weinberg E.J. (1992). Phys. Rev. D 45: 2751
Breitenlohner P., Forgacs P. and Maison D. (1992). Nucl. Phys. B 383: 357
Breitenlohner P., Forgacs P. and Maison D. (1995). Nucl. Phys. B 442: 126
Kleihaus B. and Kunz J. (1997). Phys. Rev. Lett. 79: 1595
Kleihaus B. and Kunz J. (1998). Phys. Rev. D 57: 6138
Kleihaus B. and Kunz J. (2000). Phys. Lett. B 494: 130
Hartmann B., Kleihaus B. and Kunz J. (2001). Phys. Rev. Lett. 86: 1422
Hartmann B., Kleihaus B. and Kunz J. (2002). Phys. Rev. D 65: 024027
Kleihaus B. and Kunz J. (2001). Phys. Rev. Lett. 86: 3704
Kleihaus B., Kunz J. and Navarro-Lérida F. (2002). Phys. Rev. D 66: 104001
Kleihaus B., Kunz J. and Navarro-Lérida F. (2004). Phys. Rev. D 69: 064028
Kleihaus B., Kunz J. and Navarro-Lérida F. (2004). Phys. Lett. B 599: 294
Kleihaus B., Kunz J. and Navarro-Lérida F. (2003). Phys. Rev. Lett. 90: 171101
Bartnik R. and McKinnon J. (1988). Phys. Rev. Lett. 61: 141
‘t Hooft G. (1974). Nucl. Phys. B 79: 276
Polyakov A.M. (1974). JETP Lett. 20: 194
Kleihaus B. and Kunz J. (2000). Phys. Rev. Lett. 85: 2430
Kleihaus B., Kunz J. and Shnir Ya. (2005). Phys. Rev. D 71: 024013
Kunz J., Neemann U. and Shnir Ya. (2007). Phys. Rev. D 75: 125008
Volkov M.S. and Straumann N. (1997). Phys. Rev. Lett. 79: 1428
Brodbeck O., Heusler M., Straumann N. and Volkov M.S. (1997). Phys. Rev. Lett. 79: 4310
Bizon P. and Popp O.T. (1992). Class. Quant. Grav. 9: 193
Radu E. and Bij J.J. (2002). Int. J. Mod. Phys. A 17: 1477
Paturyan V., Radu E. and Tchrakian D.H. (2005). Phys. Lett. B 609: 360
Brihaye Y., Hartmann B. and Radu E. (2005). Phys. Rev. D 71: 085002
Kleihaus B., Kunz J. and Neemann U. (2005). Phys. Lett. B 623: 171
Wald R.M. (1984). General Relativity. University of Chicago Press, Chicago
Smarr L. (1973). Phys. Rev. Lett. 30: 71
Smarr L. (1973). Phys. Rev. D 7: 289
Forgacs P. and Gyurusi J. (1996). Phys. Lett. B 366: 205
Forgacs P. and Gyurusi J. (1998). Phys. Lett. B 441: 275
Brihaye Y., Hartmann B. and Kunz J. (2002). Phys. Rev. D 65: 024019
Heusler M. and Straumann N. (1993). Class. Quant. Grav. 10: 1299
Heusler M. and Straumann N. (1993). Phys. Lett. B 315: 55
Gibbons G.W. and Hawking S.W. (1977). Phys. Rev. D 15: 2752
Forgàcs P. and Manton N.S. (1980). Commun. Math. Phys. 72: 15
Kleihaus B. and Kunz J. (1997). Phys. Rev. Lett. 78: 2527
Kleihaus B. and Kunz J. (1998). Phys. Rev. D 57: 834
Carmeli M. (1982). Classical Fields: General Relativity and Gauge Theory. Wiley, New York
Schönauer W. and Weiß R. (1989). J. Comput. Appl. Math. 27: 279
Schauder, M., Weiß, R., Schönauer, W.: The CADSOL Program Package, Universität Karlsruhe, Interner Bericht Nr. 46/92 (1992)
Brihaye Y., Hartmann B. and Kunz J. (1998). Phys. Lett. B 441: 77
Brihaye Y., Hartmann B., Kunz J. and Tell N. (1999). Phys. Rev. D 60: 104016
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B. Kleihaus gratefully acknowledges support by the German Aerospace Center.
F. Navarro-Lérida gratefully acknowledges support by the Ministerio de Educación y Ciencia under grant EX2005-0078.
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Kleihaus, B., Kunz, J., Navarro-Lérida, F. et al. Stationary Dyonic regular and black hole solutions. Gen Relativ Gravit 40, 1279–1310 (2008). https://doi.org/10.1007/s10714-007-0604-2
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DOI: https://doi.org/10.1007/s10714-007-0604-2