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Phys. Rev. D 60, 084012 (1999) [6 pages]

Linear-nonlinear formulation of Einstein equations for the two-body problem in general relativity

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Pablo Laguna
Department of Astronomy and Astrophysics and Center for Gravitational Physics and Geometry, Penn State University, University Park, Pennsylvania 16802

Received 3 May 1999; published 24 September 1999

A formulation of Einstein equations is presented that could yield advantages in the study of collisions of binary compact objects during regimes between linear-nonlinear transitions. The key idea behind this formulation is a separation of the dynamical variables into (i) a fixed conformal 3-geometry, (ii) a conformal factor possessing nonlinear dynamics and (iii) transverse-traceless perturbations of the conformal 3-geometry.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.60.084012
DOI:
10.1103/PhysRevD.60.084012
PACS:
04.30.Nk, 04.25.Nx