Temporal evolution of a radiating star via Lie symmetries
arXiv:2105.03970 · doi:10.1140/epjc/s10052-021-09521-x
Abstract
In this work, we present for the first time the general solution of the temporal evolution equation arising from the matching of a conformally flat interior to the Vaidya solution. This problem was first articulated by Banerjee et al. (A. Banerjee, S. B. Dutta Choudhury, and Bidyut K. Bhui, Phys. Rev. D, 40 (670) 1989) in which they provided a particular solution to the temporal equation. This simple exact solution has been widely utilized in modeling dissipative collapse with the most notable result being a prediction of the avoidance of the horizon as the collapse proceeds. We study the dynamics of dissipative collapse arising from the general solution obtained via the method of symmetries and of the singularity analysis. We show that the end-state of collapse for our model is significantly different from the widely used linear solution.
arXiv comment8 pages, 7 figures
References in corpus (15)
- A classification of scalar field potentials with cosmological scaling solutions
- Cosmological scaling solutions of non-minimally coupled scalar fields
- Stability of the isotropic pressure condition
- Causal Thermodynamics in Relativity
- Transport processes in anisotropic gravitational collapse
- Karmarkar scalar condition
- A causal model of radiating stellar collapse
- Lie - point and variational symmetries in minisuperspace Einstein's gravity
- Collapsing shear-free perfect fluid spheres with heat flow
- Spherical collapse with heat flow and without horizon
- Strong curvature naked singularities in spherically symmetric perfect fluid collapse
- Radiating-collapsing models satisfying Karmarkar condition
- Noether and Lie symmetries for charged perfect fluids
- Nonlinear Ordinary Differential Equations: A discussion on Symmetries and Singularities
- Radiating stars with exponential Lie symmetries