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A class of axially symmetric stationary exact solutions of Einstein's vacuum field equations

Published online by Cambridge University Press:  17 February 2009

M. D. Patel
M. D. Patel
Affiliation:
Department of Mathematics and Statistics, Sardar Patel University, Vallabh Vidyanagar—388 120, Via. Anand, Gujarat, India
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Abstract

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Einstein's vacuum field equations of an axially symmetric stationary rotating source are studied. Using the oblate spheroidal coordinate system, a class of asymptotically fiat solutions representing the exterior gravitational field of a stationary rotating oblate spheroidal source is obtained. Also it is proved that an analytic axisymmetric and stationary distribution of dust cannot be the source for the gravitational field described by the axisymmetric stationary metric.

Type
Research Article
Information
The ANZIAM Journal , Volume 20 , Issue 3 , June 1978 , pp. 344 - 351
Copyright
Copyright © Australian Mathematical Society 1978

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