Killing-Yano charges of asymptotically maximally symmetric black holes. (English) Zbl 1520.83051
Summary: We construct an asymptotic conserved charge for a current that has been defined using Killing-Yano tensors. We then calculate the corresponding conserved charges of the Kerr and AdS-Kerr black holes, and their higher-dimensional generalizations, Myers-Perry and Gibbons-Lü-Page-Pope black holes. The new charges all turn out to be proportional to the angular momenta of their parent black holes.
MSC:
| 83C57 | Black holes |
| 70F10 | \(n\)-body problems |
| 78A35 | Motion of charged particles |
| 70M20 | Orbital mechanics |
Keywords:
Killing-Yano tensorsReferences:
| [1] | Kastor, D.; Traschen, J., Conserved gravitational charges from Yano tensors, J. High Energy Phys., 08, Article 045 pp. (2004) |
| [2] | Kerr, R. P., Gravitational field of a spinning mass as an example of algebraically special metrics, Phys. Rev. Lett., 11, 237-238 (1963) · Zbl 0112.21904 |
| [3] | Boyer, R. H.; Lindquist, R. W., Maximal analytic extension of the Kerr metric, J. Math. Phys., 8, 265 (1967) · Zbl 0149.23503 |
| [4] | Gibbons, G. W.; Lü, H.; Page, D. N.; Pope, C. N., The general Kerr-de Sitter metrics in all dimensions, J. Geom. Phys., 53, 49-73 (2005) · Zbl 1069.83003 |
| [5] | Myers, R. C.; Perry, M. J., Black holes in higher dimensional space-times, Ann. Phys., 172, 304 (1986) · Zbl 0601.53081 |
| [6] | Abbott, L. F.; Deser, S., Stability of gravity with a cosmological constant, Nucl. Phys. B, 195, 76-96 (1982) · Zbl 0900.53033 |
| [7] | Cebeci, H.; Sarıoğlu, Ö.; Tekin, B., Gravitational charges of transverse asymptotically AdS spacetimes, Phys. Rev. D, 74, Article 124021 pp. (2006) |
| [8] | Lindström, U.; Sarıoğlu, Ö., New currents with Killing-Yano tensors, Class. Quantum Gravity, 38, 19, Article 195011 pp. (2021) · Zbl 1482.83024 |
| [9] | Floyd, R. M., The dynamics of Kerr fields (1973), Birkbeck (University of London), PhD Thesis |
| [10] | Penrose, R., Naked singularities, Ann. N.Y. Acad. Sci., 224, 125-134 (1973) · Zbl 0925.53023 |
| [11] | Carter, B., Hamilton-Jacobi and Schrodinger separable solutions of Einstein’s equations, Commun. Math. Phys., 10, 4, 280-310 (1968) · Zbl 0162.59302 |
| [12] | Kubiznak, D., Hidden symmetries of higher-dimensional rotating black holes, PhD Thesis · Zbl 1228.83066 |
| [13] | Frolov, V. P.; Kubiznak, D., Hidden symmetries of higher dimensional rotating black holes, Phys. Rev. Lett., 98, Article 011101 pp. (2007) · Zbl 1228.83066 |
| [14] | Cariglia, M., Quantum mechanics of Yano tensors: Dirac equation in curved spacetime, Class. Quantum Gravity, 21, 1051-1078 (2004) · Zbl 1051.83009 |
| [15] | Gibbons, G. W.; Perry, M. J.; Pope, C. N., The first law of thermodynamics for Kerr-anti-de Sitter black holes, Class. Quantum Gravity, 22, 1503-1526 (2005) · Zbl 1068.83010 |
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