Static and stationary axially symmetric gravitational fields of bounded sources. I - Solutions obtainable from the van Stockum metric

Details Static and stationary axially symmetric gravitational fields of bounded sources. I - Solutions obtainable from the van Stockum metric Static and stationary axially symmetric gravitational fields of bounded sources. I - Solutions obtainable from the van Stockum metric

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978gregr...9..711h&link_type=abstract

General Relativity and Gravitation, vol. 9, Aug. 1978, p. 711-719.

Physics

17

Gravitation Theory, Gravitational Fields, Relativity, Einstein Equations, Field Theory (Physics), Magnetic Moments, Mass Distribution, Maxwell Equation, Tensors

Scientific paper

This paper shows that a new class of axially symmetric static electrovacuum solutions and the Kerr solution are obtainable from the van Stockum (1937) metric. The new class contains an infinite set of asymptotically flat solutions (in closed form), each of which involves an arbitrary set of parameters. The parameters have to be interpreted as functions of mass (m), charge (e), and higher electric multipole moments (alpha sub i) of the particle. The case e = alpha sub i = 0 leads to the Darmois metric. Well-known and new examples are given.

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