The Efroimsky formalism adapted to high-frequency perturbations

Abstract

The Efroimsky perturbation scheme for consistent treatment of gravitational waves and their influence on the background is summarized and compared with classical Isaacson's high-frequency approach. We demonstrate that the Efroimsky method in its present form is not compatible with the Isaacson limit of high-frequency gravitational waves, and we propose its natural generalization to resolve this drawback.

arXiv comment7 pages, to appear in Class. Quantum Grav

References in corpus (2)

• Some high-frequency gravitational waves related to exact radiative spacetimes
• Gauge Invariant Effective Stress-Energy Tensors for Gravitational Waves

Cited by in corpus (2)

• Inhomogeneous High Frequency Expansion-Free Gravitational Waves
• On energy-momentum tensor for gravitational waves in $f(R)$ gravity