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On conformally flat initial data for Einstein equations

Janusz Karkowski·Edward Malec
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Abstract

We describe conformally flat initial data, with explicitly given analytic extrinsic curvature solving the vacuum momentum constraints. They follow from a solution of Dain and Friedrich discovered in 2001. The cylindrically symmetric subcase of the Bowen-York solution is a subclass of this general configuration.

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Janusz Karkowski, Edward Malec. 2004-09-16. On conformally flat initial data for Einstein equations. https://arxiv.org/abs/gr-qc/0409032

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