Gravitational lensing beyond geometric optics: I. Formalism and observables
General Relativity and Quantum Cosmology
2019-01-08 v2 High Energy Astrophysical Phenomena
Abstract
The laws of geometric optics and their corrections are derived for scalar, electromagnetic, and gravitational waves propagating in generic curved spacetimes. Local peeling-type results are obtained, where different components of high-frequency fields are shown to scale with different powers of their frequencies. Additionally, finite-frequency corrections are identified for a number of conservation laws and observables. Among these observables are a field's energy and momentum densities, as well as several candidates for its corrected "propagation directions."
Keywords
Cite
@article{arxiv.1808.06203,
title = {Gravitational lensing beyond geometric optics: I. Formalism and observables},
author = {Abraham I. Harte},
journal= {arXiv preprint arXiv:1808.06203},
year = {2019}
}
Comments
38 pages, matches published version