Radiating spherical collapse

Thermal Evolution of a Radiating Anisotropic Star With Shear

“…With the discovery of the Vaidya solution 19 , it became possible to study radiative gravitational collapse where the collapsing core radiated energy to the exterior spacetime 6,8,16,20 . The Vaidya solution which describes the exterior spacetime of a radiating star is given by (18) is given by…”

Radiating Spherical Collapse With Heat Flow

“…Moreover, as observed by Bonnor et al [10], it is possible to show through Raychaudhuri's equation that the slowest possible collapse is for shear-free fluids. Thus our results will be appropriate in any case if the collapse is not very fast.…”

“…[9].) In particular, special attention was given to models in which an initial static stellar configuration began collapsing by dissipating energy in the form of a radial heat flux [10]. The initial static configuration was taken to be an exact solution of the Einstein field equations.…”

Relativistic gravitational collapse in noncomoving coordinates: The post-quasistatic approximation

“…On the other hand, analytical solutions although more suitable for a general discussion (see [6] and references therein), are found, either for too simplistic equations of state and/or under additional heuristic assumptions whose justification is usually uncertain.…”

“…It is also worth mentioning that although the most common method of solving Einstein's equations is to use commoving coordinates (e.g. [13], [6]), we shall use noncomoving coordinates, which implies that the velocity of any fluid element (defined with respect to a conveniently chosen set of observers) has to be considered as a relevant physical variable ( [14]). …”