https://doi.org/10.1140/epjc/s10052-019-7559-9
Regular Article - Theoretical Physics
Self similar collapse and the Raychaudhuri equation
1
Department Of Physical Sciences, IISER Kolkata, Mohanpur, Nadia, 741246, India
2
Theory Division, Saha Institute of Nuclear Physics, Kolkata, 700064, India
* e-mail: narayan@iiserkol.ac.in
Received:
23
October
2019
Accepted:
11
December
2019
Published online:
24
December
2019
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.
© The Author(s), 2019