Kamran Qadir Abbasi

National University of Sciences and Technology | NUST · School of Natural Sciences

Khan and Penrose obtained an exact solution for colliding plane impulsive gravitational waves with the remarkable feature that the spacetime before the collision is flat and after the collision is not only curved, but develops a future curvature singularity. The spacetime has been extensively investigated analytically by various authors using the N...

This is a review of Two Components Spinor Formalism with application on pp-gravitational waves. The Newman - Penrose equations are calculated for pp-Gravitational waves in Spinor form and classified by using Petrov classification. The pp-spacetime is interpreted physically by considering different cases of Weyl Spinor.

The behavior of the Khan–Penrose impulsive plane colliding gravitational wave spacetime was investigated using the pseudo-Newtonian formalism, which expresses the spacetime curvature in terms of forces. The essential singularity produced after collision was seen as a rapid build-up of the force. However, the singularity, when either wave has passed...

This paper is devoted to study the gyratonic pp-waves using the Noether symmetry approach. We consider gyratonic pp-waves that travel in the z direction with unknown profile function \(H(t,z,\rho , \phi )\) and the gyratonic source function J(t, z). We evaluate velocities, kinetic energy and angular momentum of free particles for different cases of...

Two-parameter exact solutions for colliding sandwich and impulsive plane gravitational waves, representing the collision of waves of different strength, have been obtained. They are generalizations of the solutions obtained by Szekeres and by Khan and Penrose.

Khan and Penrose, and separately Szekeres, presented solutions of colliding impulsive and sandwich plane gravitational waves, respectively. They only considered equal strength waves, which would impart no momentum to test particles in their path on the plane of collision at the time. We had earlier probed both spacetimes using the pseudo-Newtonian...

Khan and Penrose, and separately Szekeres, presented solutions of colliding impulsive and sandwich plane gravitational waves, respectively. They only considered equal strength waves, which would impart no momentum to test particles in their path on the plane of collision at the time. We had earlier probed both spacetimes using the pseudo-Newtonian...