Embedding condition describing shearing, dissipative collapse

In this work we employ the time-dependent Karmarkar condi-tion to model dissipative gravitational collapse in the presence of shear which leads to a final static configuration. We believe that this is a first attempt at using the time-dependent Karmarkar condition describing a radiating star with shear in which the collapsing core dissipates energy in the form of a radial heat flux. The final static configuration which is described by an embed-ding class I spacetime was obtained by Hansraj and Moodly who showed that this solution satisfies all the physical requirements for a static compact object. As the collapse proceeds and the heat flux tends to zero the dynamical core evolves into a static compact core with the exterior spacetime being described by the vacuum Schwarzschild solution. (C) 2021 Elsevier Inc. All rights reserved.

Automated summary

In this work, the time-dependent Karmarkar condition is used to model dissipative gravitational collapse with shear, leading to a final static configuration. The collapse evolves into a static compact core with the exterior spacetime described by the vacuum Schwarzschild solution as the heat flux tends to zero. Hansraj and Moodly have shown that the final static configuration satisfies all physical requirements for a static compact object.