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Phys. Rev. D 78, 102001 (2008) [8 pages]

Spacetime encodings. I. A spacetime reconstruction problem

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Jeandrew Brink
Theoretical Astrophysics, California Institute of Technology, Pasadena, California 91103, USA

Received 8 July 2008; published 5 November 2008

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.

© 2008 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.78.102001
DOI:
10.1103/PhysRevD.78.102001
PACS:
04.80.Cc, 04.20.Jb, 04.30.Db

See Also

See Also: Jeandrew Brink, Spacetime encodings. III. Second order Killing tensors, Phys. Rev. D 81, 022001 (2010).

See Also: Jeandrew Brink, Spacetime encodings. IV. The relationship between Weyl curvature and Killing tensors in stationary axisymmetric vacuum spacetimes, Phys. Rev. D 81, 022002 (2010).