Some solutions of stationary, axially-symmetric gravitational field equations

Details Some solutions of stationary, axially-symmetric gravitational field equations Some solutions of stationary, axially-symmetric gravitational field equations

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jmp....18.2356g&link_type=abstract

Journal of Mathematical Physics, vol. 18, Dec. 1977, p. 2356-2359. Research supported by the Scientific and Technical Research

Physics

4

Field Theory (Physics), Gravitational Fields, Ideal Fluids, Vacuum, Dust, Einstein Equations, Quaternions, Scalars, Vector Analysis

Scientific paper

Stationary, axially-symmetric solutions of the gravitational field equations for vacuum, perfect fluid, and massless scalar field are considered. For the vacuum case, a similar formulation to the one introduced by Ernst is presented by use of quarternions. Null dust solutions are found, and it is shown that they match with the van Stockum exterior solutions. An extension of the theorem by Eris and Gurses is given which enables one to construct solutions to the gravitational field equations coupled with a charged dust and a massless scalar field from the solutions of the field equations coupled only with a charged dust.

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