A new class of asymptotically flat stationary axisymmetric vacuum gravitational fields

Details A new class of asymptotically flat stationary axisymmetric vacuum gravitational fields A new class of asymptotically flat stationary axisymmetric vacuum gravitational fields

Mar 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984gregr..16..249d&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 16, March 1984, p. 249-267.

Mathematics

3

Asymptotic Properties, Gravitation Theory, Gravitational Fields, Relativity, Einstein Equations, Kernel Functions, Potential Fields, Space-Time Functions, Transformations (Mathematics), Vacuum

Scientific paper

The full four-dimensional metric for a stationary axisymmetric solution of the vacuum Einstein equations related to the Ernst potential, obtained by application of an arbitrary number of rank-zero HKX transformations to the general static Weyl solution, is presented. The metric function omega is determined in a completely algebraically way. A suitable Ehlers transformation is performed to ensure asymptotic flatness and give the expression for the total mass of this asymptotically flat solution by analyzing the behavior of the solution on the positive z axis.

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