Magnus Herberthson 2009 Class. Quantum Grav. 26 215009 doi:10.1088/0264-9381/26/21/215009
Magnus Herberthson
Show affiliationsIn this paper we give sufficient conditions on a sequence of multipole moments for a static spacetime to exist with precisely these moments. The proof is constructive in the sense that a metric having prescribed multipole moments up to a given order can be calculated. Since these sufficient conditions agree with already known necessary conditions, this completes the proof of a long standing conjecture due to Geroch.
04.20.Gz Spacetime topology, causal structure, spinor structure
46G25 (Spaces of) multilinear mappings, polynomials (See also 46E50, 46G20, 47H60)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 21 (7 November 2009)
Received 26 June 2009, in final form 24 August 2009
Published 6 October 2009
Magnus Herberthson 2009 Class. Quantum Grav. 26 215009
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