Colliding Plane Waves in Einstein-Maxwell Theory
C. Barrab\`es, G.F Bressange, P.A. Hogan
TL;DR
This paper presents an exact solution describing the head-on collision of electromagnetic and gravitational plane waves in Einstein-Maxwell theory, unifying previous solutions as special cases.
Contribution
It introduces a new exact solution for colliding plane waves in Einstein-Maxwell theory, extending prior models to include electromagnetic and gravitational wave interactions.
Findings
The solution generalizes previous models of wave collision.
It recovers known solutions as special cases.
Provides insights into wave interactions in Einstein-Maxwell theory.
Abstract
Recently a simple solution of the vacuum Einstein-Maxwell field equations was given describing a plane electromagnetic shock wave sharing its wave front with a plane gravitational impulse wave. We present here an exact solution of the vacuum Einstein-Maxwell field equations describing the head-on collision of such a wave with a plane gravitational impulse wave. The solution has the Penrose-Khan solution and a solution obtained by Griffiths as separate limiting cases.
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Taxonomy
TopicsCosmology and Gravitation Theories · Pulsars and Gravitational Waves Research · Gas Dynamics and Kinetic Theory