2017/11/01 by G.A. González, A. Navarro, L.A. Núñez
paper · doi:10.1139/cjp-2016-0835
crossref created 2017/05/09 · crossref issued 2017/11/01 · crossref published 2017/11/01 · crossref published-print 2017/11/01 · crossref deposited 2025/07/02 · crossref indexed 2026/07/29
We explore the influence of density fluctuations on isotropic and anisotropic configurations, extending the concept of cracking for isotropic general relativistic fluid spheres. This concept, conceived to describe the behaviour of anisotropic matter distributions just after its departure from equilibrium, could provide some insight on potential instabilities and future evolution of relativistic fluids. We have refined the idea of cracking, considering local fluctuations—represented by any function of compact support defined in a closed interval—and their effect on the state variables and gradients through “barotropic” equations of state, P = P(ρ) and [Formula: see text]. Under this approach it is found that both isotropic and anisotropic models could exhibit cracking (or overturning), and that previous results for cracking (and overturning) instabilities on anisotropic matter configurations has to be revised.