A perturbative 3D Green's-function framework yields Born and post-Born weak-field GW lensing, including finite-distance and O(G^{2}) GR corrections controlled by GM ω b/χ_eff.
Deviation of geodesics in FLRW spacetime geometries
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abstract
The geodesic deviation equation (`GDE') provides an elegant tool to investigate the timelike, null and spacelike structure of spacetime geometries. Here we employ the GDE to review these structures within the Friedmann--Lema\^{\i}tre--Robertson--Walker (`FLRW') models, where we assume the sources to be given by a non-interacting mixture of incoherent matter and radiation, and we also take a non-zero cosmological constant into account. For each causal case we present examples of solutions to the GDE and we discuss the interpretation of the related first integrals. The de Sitter spacetime geometry is treated separately.
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Three-dimensional wave optics for weak-field lensing of gravitational waves
A perturbative 3D Green's-function framework yields Born and post-Born weak-field GW lensing, including finite-distance and O(G^{2}) GR corrections controlled by GM ω b/χ_eff.