Nonstatic perfect fluid sphere in higher-dimensional space-time

Details Nonstatic perfect fluid sphere in higher-dimensional space-time Nonstatic perfect fluid sphere in higher-dimensional space-time

Sep 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992gregr..24..991b&link_type=abstract

General Relativity and Gravitation, Volume 24, Issue 9, pp.991-999

Physics

5

Scientific paper

It is shown that in the case of a spherical nonstatic fluid distribution undergoing shear-free motion the field equations in higher dimensional space-time can be reduced to a single second-order differential equation involving an arbitrary function of the radial co-ordinate. This result extends to higher dimensions a similar one obtained by Wyman and Faulkes earlier for 4D space-time. Solving this differential equation a number of new solutions is found, and the dynamical behaviour of one of the models is briefly discussed. The ansatz is later generalised to include the electromagnetic field as well.

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