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Note on ingoing coordinates for binary black holes

Alvi, Kashif (2003) Note on ingoing coordinates for binary black holes. Physical Review D, 67 (10). Art. no. 104006. ISSN 2470-0010. doi:10.1103/PhysRevD.67.104006.

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In a previous paper, a binary black hole four-metric was presented in a post-Newtonian corotating coordinate system valid only up to the holes' apparent horizons. In this paper, I define an ingoing coordinate transformation that extends this corotating coordinate system through the holes' horizons and into their interiors. The motivation for using ingoing coordinates is that numerical simulations of black holes require the computational grid to extend inside the horizons. The coordinate transformation presented here makes the binary black hole four-metric suitable as a source of initial data for numerical simulations.

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Additional Information:© 2003 The American Physical Society (Received 13 February 2003; published 9 May 2003) I thank Lee Lindblom, Mark Scheel, Kip Thorne, and Michele Vallisneri for useful discussions. This research was supported in part by NSF grant PHY-9900776.
Subject Keywords:black holes; space-time configurations; general relativity; numerical analysis; transforms
Issue or Number:10
Record Number:CaltechAUTHORS:ALVprd03
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1440
Deposited By: Archive Administrator
Deposited On:18 Jan 2006
Last Modified:08 Nov 2021 19:10

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