On the existence of interior solutions in general relativity

Details On the existence of interior solutions in general relativity On the existence of interior solutions in general relativity

May 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..431r&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 5, pp.431-444

Physics

15

Scientific paper

The existence problem of matter sources for given stationary axisymmetric solutions of Einstein's vacuum field equations is investigated. The existence of sources of a differentially or rigidly rotating perfect fluid can be proved at least in the neighborhood of boundary surfaces if these can be chosen suitably (theorem). In particular, there exist such “half-local” perfect fluid sources for the Kerr metric. Hence the existence of a global regular “Kerr-interior solution” cannot be excluded by local considerations in an arbitrarily small neighborhood of a possible boundary.

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