On the interaction between two Kerr black holes

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dc.creatorHerdeiro, Carlos A. R.
dc.creatorRebelo, Carmen
dc.date2008-08-28
dc.date2008-10-02
dc.date.accessioned2026-07-07T12:56:41Z
dc.date.available2026-07-07T12:56:41Z
dc.descriptionThe double-Kerr solution is generated using both a Backlund transformation and the Belinskii-Zakharov inverse-scattering technique. We build a dictionary between the parametrisations naturally obtained in the two methods and show their equivalence. We then focus on the asymptotically flat double-Kerr system obeying the axis condition which is Z_2^ϕinvariant; for this system there is an exact formula for the force between the two black holes, in terms of their physical quantities and the coordinate distance. We then show that 1) the angular velocity of the two black holes decreases from the usual Kerr value at infinite distance to zero in the touching limit; 2) the extremal limit of the two black holes is given by |J|=cM^2, where c depends on the distance and varies from one to infinity as the distance decreases; 3) for sufficiently large angular momentum the temperature of the black holes attains a maximum at a certain finite coordinate distance. All of these results are interpreted in terms of the dragging effects of the system.
dc.description19 pages, 4 figures. v2: changed statement about thermodynamical equilibrium in section 3; minor changes; added references. v3: added references to previous relevant work; removed one equation (see note added); other minor corrections; final version to be published in JHEP
dc.identifierhttps://arxiv.org/abs/0808.3941
dc.identifierhttp://arxiv.org/abs/0808.3941
dc.identifierJHEP 0810:017,2008
dc.identifierdoi:10.1088/1126-6708/2008/10/017
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224666
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleOn the interaction between two Kerr black holes
dc.typetext

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