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Published November 15, 2008 | Published
Journal Article Open

Spacetime encodings. I. A spacetime reconstruction problem

Abstract

This paper explores features of an idealized mathematical machine (algorithm) that would be capable of reconstructing the gravitational nature (the multipolar structure or spacetime metric) of a compact object, by observing gravitational radiation emitted by a small object that orbits and spirals into it. An outline is given of the mathematical developments that must be carried out in order to construct such a machine.

Additional Information

© 2008 The American Physical Society. (Received 8 July 2008; published 5 November 2008) I would like to thank Duncan Brown, Ilya Mandel, Kip Thorne and Michele Vallisneri for many useful discussions and good advice. I would like to thank the anonymous referee whose suggestions greatly improved the manuscript.

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