English

Asymptotic Solutions of Radiating Stars

General Relativity and Quantum Cosmology 2026-03-31 v1

Abstract

We investigate the evolution of the surface of radiating stars by studying the asymptotic behaviour of exact solutions initiated via the stationary boundary condition. This boundary condition leads to a master equation in the form of a second-order nonlinear differential equation that describes the evolution of the scale factor. We examine this master equation by introducing a set of dimensionless dynamical variables, motivated by similar approaches in cosmological settings. We derive the stationary points of the system in the presence of charge and a cosmological constant. Furthermore, we construct criteria for the initial conditions in order that the asymptotic limit approaches a static geometry.

Keywords

Cite

@article{arxiv.2603.28496,
  title  = {Asymptotic Solutions of Radiating Stars},
  author = {R. S. Bogadi and G. Leon and M. Govender and K. S. Govinder and S. Maharaj and A. Paliathanasis},
  journal= {arXiv preprint arXiv:2603.28496},
  year   = {2026}
}

Comments

11 pages, 2 figures, to appear in Gen. Rel. Grav