Energy Content of Colliding Plane Waves using Approximate Noether Symmetries
M. Sharif, Saira Waheed
TL;DR
This paper investigates the energy content of colliding plane electromagnetic and gravitational waves through approximate Noether symmetries, employing a perturbed Lagrangian approach to analyze their symmetries.
Contribution
It introduces a first-order perturbed Lagrangian framework to study approximate symmetries in colliding plane waves, advancing the understanding of their energy distribution.
Findings
No exact Noether symmetries exist for the perturbed systems
Approximate symmetries provide insights into energy localization
Method applicable to electromagnetic and gravitational wave collisions
Abstract
This paper is devoted to study the energy content of colliding plane waves using approximate Noether symmetries. For this purpose, we use approximate Lie symmetry method of Lagrangian for differential equations. We formulate the first-order perturbed Lagrangian for colliding plane electromagnetic and gravitational waves. It is shown that in both cases, there does not exist
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