Cavity evolution in relativistic self-gravitating fluids

Abstract

We consider the evolution of cavities within spherically symmetric\nrelativistic fluids, under the assumption that proper radial distance between\nneighboring fluid elements remains constant during their evolution (purely\nareal evolution condition). The general formalism is deployed and solutions are\npresented. Some of them satisfy Darmois conditions whereas others present\nshells and must satisfy Israel conditions, on either one or both boundary\nsurfaces. Prospective applications of these results to some astrophysical\nscenarios is suggested.\n