Abstract
We study the family of Einstein-Maxwell instantons associated with the Kerr-Newman metrics with a positive cosmological constant. This leads to a quantisation condition on the masses, charges, and angular momentum parameters of the resulting Euclidean solutions.
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References
Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XVI. Cosmological parameters, Astron. Astrophys. 571 (2014) A16 [arXiv:1303.5076] [INSPIRE].
B. Carter, Hamilton-Jacobi and Schrödinger separable solutions of Einstein’s equations, Commun. Math. Phys. 10 (1968) 280 [INSPIRE].
P.T. Chrusciel, J. Jezierski and J. Kijowski, Hamiltonian dynamics in the space of asymptotically Kerr-de Sitter spacetimes, Phys. Rev. D 92 (2015) 084030 [arXiv:1507.03868] [INSPIRE].
P.T. Chrusciel, C.R. Ölz and S.J. Szybka, Space-time diagrammatics, Phys. Rev. D 86 (2012) 124041 [arXiv:1211.1718] [INSPIRE].
M.J. Duff and J. Madore, Einstein Yang-Mills Pseudoparticles and Electric Charge Quantization, Phys. Rev. D 18 (1978) 2788 [INSPIRE].
M. Dunajski, J. Gutowski, W. Sabra and P. Tod, Cosmological Einstein-Maxwell Instantons and Euclidean Supersymmetry: Anti-Self-Dual Solutions, Class. Quant. Grav. 28 (2011) 025007 [arXiv:1006.5149] [INSPIRE].
G.W. Gibbons and S.W. Hawking, Cosmological Event Horizons, Thermodynamics and Particle Creation, Phys. Rev. D 15 (1977) 2738 [INSPIRE].
G.W. Gibbons and S.W. Hawking eds., Euclidean quantum gravity, World Scientific Publishing Co., Singapore (1993).
A. Gomberoff and C. Teitelboim, de Sitter black holes with either of the two horizons as a boundary, Phys. Rev. D 67 (2003) 104024 [hep-th/0302204] [INSPIRE].
S.W. Hawking, Gravitational instantons, Phys. Lett. A 60 (1977) 81 [INSPIRE].
S.W. Hawking and S.F. Ross, Duality between electric and magnetic black holes, Phys. Rev. D 52 (1995) 5865 [hep-th/9504019] [INSPIRE].
WMAP collaboration, E. Komatsu et al., Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation, Astrophys. J. Suppl. 192 (2011) 18 [arXiv:1001.4538] [INSPIRE].
H.K. Kunduri and J. Lucietti, Classification of near-horizon geometries of extremal black holes, Living Rev. Rel. 16 (2013) 8 [arXiv:1306.2517] [INSPIRE].
F. Mellor and I. Moss, Black Holes and Gravitational Instantons, Class. Quant. Grav. 6 (1989) 1379 [INSPIRE].
P. Orlik and F. Raymond, Actions of the torus on 4-manifolds. II, Topology 13 (1974) 89.
D.N. Page, A compact rotating gravitational instanton, Phys. Lett. B 79 (1978) 235 [INSPIRE].
Planck collaboration, Planck 2015 results. XIII. Cosmological parameters, http://planck.caltech.edu/pub/2015results/Planck 2015 Results XIII Cosmological Parameters.pdf.
J.F. Plebanski and M. Demianski, Rotating, charged and uniformly accelerating mass in general relativity, Annals Phys. 98 (1976) 98 [INSPIRE].
Y. Sekiwa, Thermodynamics of de Sitter black holes: Thermal cosmological constant, Phys. Rev. D 73 (2006) 084009 [hep-th/0602269] [INSPIRE].
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ArXiv ePrint: 1511.08496
Preprint UWThPh-2015-32.
http://homepage.univie.ac.at/piotr.chrusciel (Piotr T. Chrusciel).
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Chrusciel, P.T., Hörzinger, M. The Euclidean quantisation of Kerr-Newman-de Sitter black holes. J. High Energ. Phys. 2016, 12 (2016). https://doi.org/10.1007/JHEP04(2016)012
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DOI: https://doi.org/10.1007/JHEP04(2016)012