Self Similar Collapse and the Raychaudhuri equation
Shibendu Gupta Choudhury, Soumya Chakrabarti, Ananda Dasgupta and, Narayan Banerjee
TL;DR
This paper investigates gravitational collapse using the Raychaudhuri equation in a self-similar scalar field and imperfect fluid setup, exploring focusing conditions and their relation to critical phenomena in conformally flat spacetimes.
Contribution
It introduces a new analysis of gravitational collapse with self-similarity and connects the Raychaudhuri equation to critical phenomena, verified through exact solutions.
Findings
Derived general focusing condition for collapse
Verified focusing condition against exact solutions
Explored connection between Raychaudhuri equation and critical phenomena
Abstract
The role of the Raychaudhuri equation in studying gravitational collapse is discussed. A self-similar distribution of a scalar field along with an imperfect fluid in a conformally flat spacetime is considered for the purpose. The general focusing condition is found out and verified against the available exact solutions. The connection between the Raychaudhuri equation and the critical phenomena is also explored.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.