Phys. Rev. D 71, 024020 (2005) [9 pages]Initial data for Einstein's equations with superposed gravitational wavesReceived 4 October 2004; revised 7 December 2004; published 20 January 2005 A method is presented to construct initial data for Einstein's equations as a superposition of a gravitational wave perturbation on an arbitrary stationary background spacetime. The method combines the conformal thin sandwich formalism with linear gravitational waves, and allows detailed control over characteristics of the superposed gravitational wave like shape, location and propagation direction. It is furthermore fully covariant with respect to spatial coordinate changes and allows for very large amplitude of the gravitational wave. © 2005 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.71.024020
DOI:
10.1103/PhysRevD.71.024020
PACS:
04.20.Ex, 04.25.Dm, 04.30.Db
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