Static and stationary axially symmetric gravitational fields of bounded sources. I. Solutions obtainable from the van Stockum metric
Abstract
This paper shows that a new class of axially symmetric static electrovacuum solutions and the Kerr solution are obtainable from the van Stockum 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 massm, chargee, and higher electric multipole momentsα _{ i } of the particle. The casee=α _{ i }=0 leads to the Darmois metric. Wellknown and new examples are given.
 Publication:

General Relativity and Gravitation
 Pub Date:
 August 1978
 DOI:
 10.1007/BF00760142
 Bibcode:
 1978GReGr...9..711H
 Keywords:

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