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Construction of hyperboloidal black hole initial data

Published online by Cambridge University Press:  30 September 2008

M.J. Pareja*
Affiliation:
Institut für Astronomie und Astrophysik, Universität Tübingen, Auf der Morgenstelle 10, 72076  Tübingen, Germany
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Abstract

We check the feasibility of the Thin-Sandwich formulation of the constraints for the construction of hyperboloidal initial data, and present a first numerical check (boundary treatment) of the method with Schwarzschild data.

Type
Research Article
Copyright
© EAS, EDP Sciences, 2008

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References

Bartnik, R., & Fodor, G., 1993, Phys. Rev. D, 48, 3596-3599 CrossRef
Bartnik, R., & Isenberg, J., 2004, The Constraint Equations, in: 50 Years of the Cauchy Problem, ed. P. Chrusciel, H., Friedrich (Birkhäuser, Basel-Boston)
Belasco, E.P., & Ohanian, H.C., 1969, J. Math. Phys., 10, 1503-1507 CrossRef
Pareja, M.J., & Frauendiener, J., 2006, Phys. Rev. D, 74, 044026 CrossRef
Pareja, M.J., 2008, First steps towards the construction of hyperboloidal initial data, using the Thin-Sandwich formulation: check of the method with Schwarzschild data. in preparation