(School of Sciences and Humanities, 2023) Aryngazin, Ansar
In this research we investigate the shear-free, non-viscous perfect fluid model
describing stellar object that emits radiation that leads to dissipation. We study
matching of the interior metric with the exterior outgoing Vaidya metric via junction
conditions. We also impose regularity and energy conditions in order for the
model to be physically realistic. We find solution to main Einstein field equations,
analyze and emphasize the features of the solution, specifically the impact of dissipation
of the density 𝜌, pressure 𝑝 and mass 𝑚 functions, and present the resulted
analysis in plots. We compare obtained solution to the conventional OSD collapse
model and to solutions found in previous works, and investigate the prospects of the
implementation of obtained results on future research in modified GR.