Relativity and Cosmology


Geodesic Curve of a Gravitational Plane Wave Pulse and Curve of Particle

Authors: Karl De Paepe

We consider a system of a gravitational wave coming from infinity that collides with a mass M. The metric of the system approaches the metric of a gravitational plane wave pulse as the mass of M goes to zero. The metric of the gravitational plane wave pulse having a specific form. We show there is a limiting curve of M, as mass and size of M go to zero, that is not a geodesic curve. We show conservation of energy-momentum does not hold and there is no solution to the Einstein field equations for this system.

Comments: 3 Pages.

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Submission history

[v1] 2019-01-08 08:19:13

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