A generalized Damour-Navier-Stokes equation applied to trapping horizons

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dc.creatorGourgoulhon, Eric
dc.date2005-07-31
dc.date2005-10-19
dc.date.accessioned2026-07-07T06:41:58Z
dc.date.available2026-07-07T06:41:58Z
dc.descriptionAn identity is derived from Einstein equation for any hypersurface H which can be foliated by spacelike two-dimensional surfaces. In the case where the hypersurface is null, this identity coincides with the two-dimensional Navier-Stokes-like equation obtained by Damour in the membrane approach to a black hole event horizon. In the case where H is spacelike or null and the 2-surfaces are marginally trapped, this identity applies to Hayward's trapping horizons and to the related dynamical horizons recently introduced by Ashtekar and Krishnan. The identity involves a normal fundamental form (normal connection 1-form) of the 2-surface, which can be viewed as a generalization to non-null hypersurfaces of the Hajicek 1-form used by Damour. This 1-form is also used to define the angular momentum of the horizon. The generalized Damour-Navier-Stokes equation leads then to a simple evolution equation for the angular momentum.
dc.descriptionAdded subsection IV.D; corrected an error in Appendix A; added some references; accepted for publication in Phys. Rev. D (16 pages, 4 EPS figures)
dc.identifierhttps://arxiv.org/abs/gr-qc/0508003
dc.identifierhttp://arxiv.org/abs/gr-qc/0508003
dc.identifierPhys.Rev. D72 (2005) 104007
dc.identifierdoi:10.1103/PhysRevD.72.104007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101870
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.titleA generalized Damour-Navier-Stokes equation applied to trapping horizons
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