Initial data for Einstein's equations with superposed gravitational waves

Details Initial data for Einstein's equations with superposed gravitational waves Initial data for Einstein's equations with superposed gravitational waves

2004-10-04

arxiv.org/abs/gr-qc/0410016v2

Phys.Rev. D71 (2005) 024020

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Version accepted by PRD; added convergence plots, expanded discussion. 9 pages, 9 figures

Scientific paper

10.1103/PhysRevD.71.024020

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.

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