scholarly journals New Axisymmetric Stationary Solutions of Five-dimensional Vacuum Einstein Equations with Asymptotic Flatness

2006 ◽  
Author(s):  
Takashi Mishima ◽  
Hideo Iguchi
Keyword(s):  
Stationary Solutions ◽  
Einstein Equations ◽  
Asymptotic Flatness ◽  
Vacuum Einstein Equations

A new class of bipolar vacuum gravitational fields

1982 ◽  
Vol 382 (1782) ◽  
pp. 221-229 ◽  
Keyword(s):  
Einstein Equations ◽  
Axisymmetric Solution ◽  
Rank Zero ◽  
Weyl Solution ◽  
Gravitational Fields ◽  
Ernst Potential ◽  
New Class ◽  
Asymptotic Flatness ◽  
Vacuum Einstein Equations ◽  
Math Phys

We present the Ernst potential and the full four-dimensional metric for a stationary axisymmetric solution of the vacuum Einstein equations, which we obtain by application of two rank-zero H. K. X. transformations (Hoenselaers, Kinnersley & Xanthopolous J. math. Phys . 20, 2530 (1979)) to the general static Weyl solution. A suitable Ehlers transformation ensures asymptotic flatness.

Numerical methods for solving the planar vacuum Einstein equations

1991 ◽  
Vol 43 (6) ◽  
pp. 1808-1824 ◽  
Author(s):  
Peter Anninos ◽  
Joan Centrella ◽  
Richard A. Matzner
Keyword(s):  
Numerical Methods ◽  
Einstein Equations ◽  
Vacuum Einstein Equations
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