Euclidean black-hole vortices. (English) Zbl 1232.83052
Summary: We argue the existence of solutions of the Euclidean Einstein equations that correspond to a vortex sitting at the horizon of a black hole. We find the asymptotic behaviors, at the horizon and at infinity, of vortex solutions for the gauge and scalar fields in an abelian Higgs model on a Euclidean Schwarzschild background and interpolate between them by integrating the equations numerically. Calculating the back reaction shows that the effect of the vortex is to cut a slice out of the Euclidean Schwarzschild geometry. The consequences of these solutions for black-hole thermodynamics are discussed.
References:
| [1] | E. Witten, Phys. Rev. D 44 pp 314– (1991) · Zbl 0900.53037 · doi:10.1103/PhysRevD.44.314 |
| [2] | M. Bowick, Phys. Rev. Lett. 61 pp 2823– (1988) · doi:10.1103/PhysRevLett.61.2823 |
| [3] | L. Krauss, Phys. Rev. Lett. 62 pp 1221– (1989) · doi:10.1103/PhysRevLett.62.1221 |
| [4] | S. Adler, Phys. Rev. D 18 pp 2798– (1978) · doi:10.1103/PhysRevD.18.2798 |
| [5] | J. Bekenstein, Phys. Rev. D 5 pp 1239– (1972) · doi:10.1103/PhysRevD.5.1239 |
| [6] | M. Aryal, Phys. Rev. D 34 pp 2263– (1986) · Zbl 0966.83542 · doi:10.1103/PhysRevD.34.2263 |
| [7] | R. Geroch, Phys. Rev. D 36 pp 1017– (1987) · doi:10.1103/PhysRevD.36.1017 |
| [8] | H. Luckock, Phys. Lett. B 176 pp 341– (1986) · doi:10.1016/0370-2693(86)90175-9 |
| [9] | Ph. de Sousa Gerbert, Phys. Rev. D 40 pp 1346– (1989) · doi:10.1103/PhysRevD.40.1346 |
| [10] | M. Alford, Nucl. Phys. B328 pp 140– (1989) · doi:10.1016/0550-3213(89)90096-5 |
| [11] | S. Coleman, Mod. Phys. Lett. A 6 pp 1631– (1991) · doi:10.1142/S0217732391001767 |
| [12] | S. Coleman, Phys. Rev. Lett. 67 pp 1975– (1991) · Zbl 0990.83530 · doi:10.1103/PhysRevLett.67.1975 |
| [13] | D. Garfinkle, Phys. Rev. D 43 pp 3140– (1991) · doi:10.1103/PhysRevD.43.3140 |
| [14] | R. Bellman, in: Stability Theory of Differential Equations (1953) |
| [15] | R. Arnowitt, in: Gravitation: An Introduction to Current Research (1962) |
| [16] | C. Teitelboim, Phys. Rev. D 5 pp 2941– (1972) · doi:10.1103/PhysRevD.5.2941 |
| [17] | J. B. Hartle, Phys. Rev. D 1 pp 394– (1970) · doi:10.1103/PhysRevD.1.394 |
| [18] | H. B. Nielsen, Nucl. Phys. B61 pp 45– (1973) · doi:10.1016/0550-3213(73)90350-7 |
| [19] | E. B. Bogomoln’yi, Yad. Fiz. 24 pp 861– (1976) |
| [20] | D. Garfinkle, Phys. Rev. D 32 pp 1323– (1985) · doi:10.1103/PhysRevD.32.1323 |
| [21] | R. Gregory, Phys. Rev. Lett. 59 pp 740– (1987) · doi:10.1103/PhysRevLett.59.740 |
| [22] | P. Laguna-Castillo, Phys. Rev. D 36 pp 3663– (1987) · doi:10.1103/PhysRevD.36.3663 |
| [23] | R. Gregory, Phys. Lett. B 215 pp 663– (1988) · doi:10.1016/0370-2693(88)90039-1 |
| [24] | G. Gibbons, Phys. Rev. D 39 pp 1546– (1989) · doi:10.1103/PhysRevD.39.1546 |
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