https://doi.org/10.1140/epja/i2018-12479-4
Regular Article - Theoretical Physics
Gravitational collapse in a cylindrical symmetric vacuum space-time and the naked singularity
1
Ajmal College of Arts and Science, 783324, Dhubri, Assam, India
2
Department of Mathematics, Jadavpur University, 700032, Kolkata, West Bengal, India
* e-mail: rahaman@associates.iucaa.in
Received:
27
October
2017
Accepted:
14
February
2018
Published online:
29
March
2018
We construct a cylindrical symmetry vacuum solution of the Einstein field equations, regular everywhere except on the symmetry axis where it possesses a naked curvature singularity. The geodesics motion of free test particles near the singularity, geodesic expansion to understand the nature of singularity, and the C-energy of the vacuum metric, will be discussed. Finally, the physical interpretation of this solution, based on the study of the equation of the geodesics deviation, will be presented.
© SIF, Springer-Verlag GmbH Germany, part of Springer Nature, 2018