On a Class of Non-Static Fluid Spheres without Energy Flow

Details On a Class of Non-Static Fluid Spheres without Energy Flow On a Class of Non-Static Fluid Spheres without Energy Flow

Nov 1968

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1968pthph..40.1013n&link_type=abstract

Progress of Theoretical Physics, Vol. 40, No. 5, pp. 1013-1022

Physics

25

Scientific paper

In order to find some common features of relativistic fluid spheres without energy flow, the velocity field in the fluid spheres is examined from the standpoint of its covariant decomposition. The examination shows that, if the velocity field is shear-free, its 4-divergence depends only on time and the converse is also true. It is also shown that the fluid spheres without energy flow dealt with recently by McVittie, Thompson and Whitrow, Bonnor and Faulkes, Bondi and the author are all shear-free.

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