On the existence of a general rotating solution of Einstein's equations.

Details On the existence of a general rotating solution of Einstein's equations. On the existence of a general rotating solution of Einstein's equations.

Oct 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976gregr...7..809i&link_type=abstract

General Relativity and Gravitation, Volume 7, Issue 10, pp.809-815

Physics

2

Scientific paper

In an earlier paper we considered a power-series expansion of the metric for a rotating field in terms of a parameter and constructed a solution of Einstein's equations to the first few orders in terms of two harmonic functions. We encountered a pair of Poisson-type equations which were apparently insoluble explicitly. The form of the metric considered was the Weyl-Lewis-Papapetrou form. In this paper we consider a power-series expansion of the most general form of a rotating metric and show that one encounters the same two Poisson equations as before. If these equations are insoluble explicitly, as seems likely, then a general solution depending on two harmonic functions cannot exist in closed form.

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