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Self Similar Collapse and the Raychaudhuri equation

2019/12/12 by Shibendu Gupta Choudhury, Soumya Chakrabarti, Ananda Dasgupta +1 · 1 citation
Physics and Astronomy · #gr-qc

paper · pdf · doi:10.1140/epjc/s10052-019-7559-9

published as Eur. Phys. J. C (2019) 79: 1027 · 7 pages, to appear in EPJC

arxiv created 2019/12/12 · arxiv updated 2019/12/30

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.

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