Collapsing shear-free perfect fluid spheres with heat flow

摘要: A global view is given upon the study of collapsing shear-free perfect fluid spheres with heat flow. We apply a compact formalism, which simplifies isotropy condition and for conformal flatness. The formulas characteristics model are straight tractable. This formalism also presents simplest possible version main junction condition, demonstrated explicitly conformally flat geodesic solutions. It gives right functions to disentangle this into well known differential equations like those Abel, Riccati, Bernoulli linear one. yields an alternative derivation general solution functionally dependent metric components. bring together results static time-dependent models describe six generating equation. Their common features relations between them elucidated. formula separable solutions given, incorporating collapse black hole or naked singularity.