Light propagation in the 2PN approximation in the monopole and quadrupole field of a body at rest: Boundary value problem

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Bibliographic Details
Main Author:	Zschocke, Sven
Format:	Preprint
Published:	2025
Subjects:	General Relativity and Quantum Cosmology
Online Access:	Acceder al recurso
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author	Zschocke, Sven
author_facet	Zschocke, Sven
contents	In a recent investigation, the initial value problem of light propagation in the gravitational field of a body at rest with monopole and quadrupole structure has been determined in the second post-Newtonian (2PN) approximation. In reality, the light source as well as the observer are located at finite distances from the solar system bodies. This fact requires solving the boundary value problem of light propagation. In this investigation, the solution of the boundary value problem is deduced from the initial value problem of light propagation in 2PN approximation. These results are a basic requirement for subsequent investigations aiming at ultra-highly precise tests of light deflection and time delay in the solar system.
format	Preprint
id	arxiv_https___arxiv_org_abs_2505_19963
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	Light propagation in the 2PN approximation in the monopole and quadrupole field of a body at rest: Boundary value problem Zschocke, Sven General Relativity and Quantum Cosmology In a recent investigation, the initial value problem of light propagation in the gravitational field of a body at rest with monopole and quadrupole structure has been determined in the second post-Newtonian (2PN) approximation. In reality, the light source as well as the observer are located at finite distances from the solar system bodies. This fact requires solving the boundary value problem of light propagation. In this investigation, the solution of the boundary value problem is deduced from the initial value problem of light propagation in 2PN approximation. These results are a basic requirement for subsequent investigations aiming at ultra-highly precise tests of light deflection and time delay in the solar system.
title	Light propagation in the 2PN approximation in the monopole and quadrupole field of a body at rest: Boundary value problem
topic	General Relativity and Quantum Cosmology
url	https://arxiv.org/abs/2505.19963

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