https://doi.org/10.1140/epjc/s10052-018-5965-z
Regular Article - Theoretical Physics
Does particle creation mechanism favour formation of black hole or naked singularity?
1
Department of Mathematics, Jadavpur University, Kolkata, West Bengal, 700032, India
2
Department of Mathematics, Panihati Mahavidyalaya, Sodepur, West Bengal, 700110, India
* e-mail: slg00sudipto@gmail.com
Received:
2
August
2017
Accepted:
3
June
2018
Published online:
12
June
2018
The paper deals with collapse dynamics of a spherically symmetric massive star in the framework of non-equilibrium thermodynamic prescription through particle creation mechanism. The matter content in the star is in the form of perfect fluid with barotropic equation of state, and the dissipative phenomena due to non-equilibrium thermodynamics is in the form of bulk viscosity. For simplicity, the thermodynamic system is chosen to be adiabatic so that the effective bulk viscous pressure is linearly related to the particle creation rate. As a result, the evolution of the collapsing star also depends on the particle creation rate. By proper choice of creation rate as a function of the Hubble parameter, it is found that the end state of the collapse may be either a black hole (BH) or a naked singularity (NS).
© The Author(s), 2018
