Energy Content of Colliding Plane Waves using Approximate Noether Symmetries

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

18 pages, accepted for publication in Brazilian J Physics

References in corpus (5)

• General Formula for the Momentum Imparted to Test Particles in Arbitrary Spacetimes
• Approximate Noether Symmetries of the Geodesic Equations for the Charged-Kerr Spacetime and Rescaling of Energy
• Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries
• Energy of Bardeen Model Using Approximate Symmetry Method
• A Proposal for Determining the Energy Content of Gravitational Waves by Using Approximate Symmetries of Differential Equations

Cited by in corpus (5)

• Re-Scaling of Energy in the Stringy Charged Black Hole Solutions using Approximate Symmetries
• Approximate Noether gauge symmetries of Bardeen model
• Noether Symmetries of Some Homogeneous Universe Models in Curvature Corrected Scalar-Tensor Gravity
• Killing and Noether Symmetries of Plane Symmetric Spacetime
• Classification of Cosmic Scale Factor via Noether Gauge Symmetries