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General relativistic fluid spheres with variable polytropic index

Published online by Cambridge University Press:  09 April 2009

R. van der Borght
R. van der Borght
Affiliation:
Department of Mathematics Monash University
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Abstract

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In this paper we derive solutions of the field equations of general relativity for a compressible fluid sphere which obeys density-temperature and pressure-temperature relations which allow for a variation of the polytropic index throughout the sphere.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 2 , May 1966 , pp. 139 - 147
Copyright
Copyright © Australian Mathematical Society 1966

References

McLachlan, N. W., 1955, Bessel Functions (Oxford, Clarendon Press).Google Scholar
Synge, J. L., 1957, The Relativistic Gas (Amsterdam, North-Holland Publishing Company).Google Scholar
Synge, J. L., 1960, Relativity: The General Theory (Amsterdam, North-Holland Publishing Company).Google Scholar
Tooper, R. F., 1946, Astrophysical Journal 140, 434–459.CrossRefGoogle Scholar
Watson, G. N., 1922, Theory of Bessel Functions (Cambridge, University Press).Google Scholar