English

The equilibrium condition in gravitational collapse and its application to a cosmological scenario

General Relativity and Quantum Cosmology 2023-03-30 v1

Abstract

We discuss the equilibrium conditions of the gravitational collapse of a spherically symmetric matter cloud. We analyze the spinor structure of a general collapsing space-time and redefine the equilibrium conditions by using Cartan scalars. We qualitatively investigate the equilibrium configuration of a two-fluid system consisting of a dust-like fluid and a fluid with a negative equation of state. We use our results to investigate certain cosmological scenarios where dark energy can cluster inside the over-dense regions of dark matter and together reaches a stable configuration. We compare the outcomes of our work with existing work where the virialization technique is used to stabilize the two-fluid system.

Keywords

Cite

@article{arxiv.2303.16789,
  title  = {The equilibrium condition in gravitational collapse and its application to a cosmological scenario},
  author = {Dipanjan Dey and N. T. Layden and A. A. Coley and Pankaj S. Joshi},
  journal= {arXiv preprint arXiv:2303.16789},
  year   = {2023}
}

Comments

20 pages, 7 figures