FAROOK RAHAMAN*, SUBENOY CHAKRABORTY and K MAITY

Department of Mathematics, Jadavpur University, Kolkata 700 032, India

* Permanent Address: Khodar Bazar, Baruipur, 24 Parganas (South), West Bengal 743 302, India

Email: jumath@cal.vsnl.net.in

Abstract.

We present a detailed analysis of the motion of test particle in the gravitational field of cosmic strings in different situations using the Hamilton--Jacobi (H--J) formalism. We have discussed the trajectories near static cosmic string, cosmic string in Brans--Dicke theory and cosmic string in dilaton gravity.

Keywords:  Cosmic strings; test particles; Brans--Dicke fields; dilaton gravity.

Pacs Nos.  04.20.Jb; 98.80.Cq; 04.50; 97.60.Lf