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Inner boundary conditions for black hole initial data derived from isolated horizons

AuthorsJaramillo, José Luis ; Gourgoulhon, Eric; Mena Marugán, Guillermo A.
Keywords[PACS´] Numerical relativity
[PACS´] Initial value problem, existence and uniqueness of solutions
[PACS´] Classical black holes
[PACS´] Binary and multiple stars
Issue Date30-Dec-2004
PublisherAmerican Physical Society
CitationPhysical Review D Vol. 70, 12, Id. 124036 (2004)
AbstractWe present a set of boundary conditions for solving the elliptic equations in the initial data problem for space-times containing a black hole, together with a number of constraints to be satisfied by the otherwise freely specifiable standard parameters of the conformal thin sandwich formulation. These conditions altogether are sufficient for the construction of a horizon that is instantaneously in equilibrium in the sense of the isolated horizons formalism. We then investigate the application of these conditions to the initial data problem of binary black holes and discuss the relation of our analysis with other proposals that exist in the literature.
Description13 pags.
Publisher version (URL)http://dx.doi.org/10.1103/PhysRevD.70.124036
Appears in Collections:(CFMAC-IEM) Artículos
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