Journal ArticleDOI
Geometrical optics in general relativity: A study of the higher order corrections
TLDR
In this paper, the higher order corrections to geometrical optics are studied in general relativity for an electromagnetic test wave, and an explicit expression is found for the average energy-momentum tensor which takes into account the first order corrections.Abstract:
The higher order corrections to geometrical optics are studied in general relativity for an electromagnetic test wave. An explicit expression is found for the average energy–momentum tensor which takes into account the first‐order corrections. Finally the first‐order corrections to the well‐known area‐intensity law of geometrical optics are derived.read more
Citations
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Wave propagation in a gravitational field
TL;DR: The geometric optics approximation in general relativity is critically examined in this paper, where the well-known result that rays of radiation follow null geodesics of the gravitational field is shown to be valid only in the limit of vanishing wavelength.
Journal Article
Strong-field gravitational lensing by black holes
TL;DR: In this article, the authors studied the role of integrability and chaos in geodesic motion in general relativity, with a particular focus on binary black hole shadows using the Majumdar-Papapetrou static binary blackhole (or di-hole) solution.
Journal ArticleDOI
Gravitational waves and geometrical optics in scalar-tensor theories
Alice Garoffolo,Alice Garoffolo,Alice Garoffolo,Gianmassimo Tasinato,Carmelita Carbone,Daniele Bertacca,Daniele Bertacca,Sabino Matarrese +7 more
TL;DR: In this article, the authors studied how GWs propagate through a perturbed cosmological space-time, and developed tools to address this topic for a broad class of scalar-tensor theories.
Journal ArticleDOI
Gravitational lensing beyond geometric optics: I. Formalism and observables
TL;DR: In this paper, the laws of geometric optics and their corrections for scalar, electromagnetic, and gravitational waves propagating in generic curved spacetimes are derived for high-frequency fields, where different components of highfrequency fields are shown to scale with different powers of their frequencies.
Journal ArticleDOI
Gravitational wave propagation beyond geometric optics
Giulia Cusin,Macarena Lagos +1 more
TL;DR: In this article, a perturbative method for calculating the corrections beyond geometric optics is proposed, which is based on solving first order decoupled differential equations, and the behavior of a single ray is studied, which leads to the rise of apparent vector and scalar polarization modes.
References
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Book
Principles of Optics
TL;DR: In this paper, the authors discuss various topics about optics, such as geometrical theories, image forming instruments, and optics of metals and crystals, including interference, interferometers, and diffraction.