Dynamics of Fluid Spheres of Uniform Density

Details Dynamics of Fluid Spheres of Uniform Density Dynamics of Fluid Spheres of Uniform Density

Sep 1973

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973phrvd...8.1653m&link_type=abstract

Physical Review D, vol. 8, Issue 6, pp. 1653-1657

Physics

11

Scientific paper

The adiabatic collapse of spheres of uniform density made up of perfect fluids either electrically neutral or charged has been studied. A set of field equations equivalent to Einstein's field equations are derived in terms of the energy-momentum tensor. With the help of these equations, the following theorems for perfect fluid spheres have been established: (1) For the gravitational collapse or bounce of a homogeneous sphere of perfect fluid the only motions possible are shear-free, uniform contraction or expansion. (2) For a charged fluid sphere embedded in empty space the conditions ρ=ρ(t) and λ˙=μ˙ are inconsistent in the sense that either the solutions are static or matter is uncharged.

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