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Black holes in magnetic monopoles. (English) Zbl 1232.81033
Summary: We study magnetically charged classical solutions of a spontaneously broken gauge theory interacting with gravity. We show that nonsingular monopole solutions exist only if the Higgs-field vacuum expectation value \(v\) is less than or equal to a critical value \(v_{\mathrm{cr}}\), which is of the order of the Planck mass. In the limiting case, the monopole becomes a black hole, with the region outside the horizon described by the critical Reissner-Nordström solution. For \(v<v_{\mathrm{cr}}\), we find additional solutions which are singular at \(r=0\), but which have this singularity hidden within a horizon. These have nontrivial matter fields outside the horizon, and may be interpreted as small black holes lying within a magnetic monopole. The nature of these solutions as a function of \(v\) and of the total mass \(M\) and their relation to the Reissner-Nordström solutions are discussed.

81T13 Yang-Mills and other gauge theories in quantum field theory
83C57 Black holes
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[1] G. W. Gibbons, in: Lecture Notes in Physics (1991)
[2] J. A. Harvey, Phys. Lett. B 268 pp 40– (1991)
[3] D. V. Galt’sov, Phys. Lett. A 138 pp 160– (1989)
[4] M. S. Volkov, Pis’ma Zh. Eksp. Teor. Fiz. 50 pp 312– (1989)
[5] R. Bartnik, Phys. Rev. Lett. 61 pp 141– (1988)
[6] P. van Nieuwenhuizen, Phys. Rev. D 13 pp 778– (1976)
[7] E. Bogomol’nyi, Yad. Fiz. 24 pp 861– (1975)
[8] S. Coleman, Phys. Rev. D 15 pp 544– (1977)
[9] F. A. Bais, Phys. Rev. D 11 pp 2692– (1975)
[10] Y. M. Cho, Phys. Rev. D 12 pp 1588– (1975)
[11] T. Kirkman, Phys. Rev. D 24 pp 999– (1981)
[12] P. Hajicek, Proc. R. Soc. London A386 pp 223– (1983) · Zbl 0582.35094
[13] P. Hajicek, J. Phys. A 16 pp 1191– (1983) · Zbl 0596.53068
[14] J. D. Bekenstein, Phys. Rev. D 5 pp 1239– (1972)
[15] N. D. Birrell, in: Quantum Fields in Curved Space (1982) · Zbl 0476.53017
[16] W. A. Hiscock, Phys. Rev. Lett. 50 pp 1734– (1983)
[17] K. Lee, Phys. Rev. Lett. 68 pp 1100– (1992) · Zbl 0969.83516
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