Dynamical instability and the expansion-free condition

Details Dynamical instability and the expansion-free condition Dynamical instability and the expansion-free condition

May 2012

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2012gregr..44.1143h&link_type=abstract

General Relativity and Gravitation, Volume 44, Issue 5, pp.1143-1162

Physics

Relativistic Fluids, Stability, Local Anisotropy Of Pressure

Scientific paper

We study the dynamical instability of a spherically symmetric anisotropic fluid which collapses adiabatically under the condition of vanishing expansion scalar. The Newtonian and post Newtonian regimes are considered in detail. It is shown that within those two approximations the adiabatic index Γ1, measuring the fluid stiffness, does not play any role. Instead, the range of instability is determined by the anisotropy of the fluid pressures and the radial profile of the energy density, independently of its stiffness, in a way which is fully consistent with results previously obtained from the study on the Tolman mass.

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