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Breakthroughs in physics and astrophysics are often driven by technological advances, with the recent detection of gravitational waves being one such example. This white paper focuses upon how improved astrometric and spectroscopic…

Astrometry provides the foundation for astrophysics. Accurate positions are required for the association of sources detected at different times or wavelengths, and distances are essential to estimate the size, luminosity, mass, and ages of…

Instrumentation and Methods for Astrophysics · Physics 2015-06-18 M. J. Reid , M. Honma

We discuss theoretical formalisms concerning with experimental verification of General Relativity (GR). Non-metric generalizations of GR are considered and a system of postulates is formulated for metric-affine and Finsler gravitational…

General Relativity and Quantum Cosmology · Physics 2007-05-23 A. N. Alexandrov , I. B. Vavilova , V. I. Zhdanov

We revisit a weak gravitational lensing problem by constructing a setup which describes the actual system as accurately as possible and solving the null geodesic equations. Details are given for the case of a Universe driven only by a…

Astrophysics · Physics 2008-11-26 Minjoon Park

This paper discusses new Fundamental physics experiment that will test relativistic gravity at the accuracy better than the effects of the second order in the gravitational field strength, ~G^2. The Laser Astrometric Test Of Relativity…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Slava G. Turyshev , Michael Shao , Kenneth Nordtvedt

We use an all--sky, complete sample of nearby galaxies, extracted from the LEDA data base, to map the optical galaxy density field in the nearby universe. In order to determine this field, we correct the redshift--dependent distances by…

Astrophysics · Physics 2007-05-23 C. Marinoni , G. Giuricin , B. Costantini , P. Monaco

The investigation of relativistic effects in the most general way requires a unified treatment of light propagation in cosmology. This goal can be achieved with the new interpretation of the geodesic deviation equation in terms of the…

General Relativity and Quantum Cosmology · Physics 2022-11-16 Michele Grasso

A procedure avoiding any integration of the null geodesic equations is used to derive the direction of light propagation in a three-parameter family of static, spherically symmetric spacetimes within the post-post-Minkowskian approximation.…

General Relativity and Quantum Cosmology · Physics 2015-06-05 Pierre Teyssandier

We present a general gauge invariant formalism for defining cosmological averages that are relevant for observations based on light-like signals. Such averages involve either null hypersurfaces corresponding to a family of past light-cones…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-01 M. Gasperini , G. Marozzi , F. Nugier , G. Veneziano

The bending of lightrays by the gravitational field of a ``lens'' that is moving relative to the observer is calculated within the approximation of weak fields, small angles and thin lenses. Up to first order in $v/c$ -- and assuming the…

Astrophysics · Physics 2009-11-07 Simonetta Frittelli

The presence of a gravitational wave background (GWB) can be established not only via exquisitely precise pulsar timing array (PTA) measurements, but also via astrometric observations. Indeed, the very same background responsible for the…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-17 Gabriele Perna , Nicola Bellomo , Vincenzo Roatti , Daniele Bertacca

According to the theory of general relativity, masses deflect light in a way similar to convex glass lenses. This gravitational lensing effect is astigmatic, giving rise to image distortions. These distortions allow to quantify cosmic…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-21 Matthias Bartelmann , Matteo Maturi

Recent galaxy redshift surveys have brought in a large amount of accurate cosmological data out to redshift 0.3, and future surveys are expected to achieve a high degree of completeness out to a redshift exceeding 1. Consequently, a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Teresa Hui-Ching Lu , Charles Hellaby

This paper focuses on the mission design for the Laser Astrometric Test Of Relativity (LATOR). This mission uses laser interferometry between two micro-spacecraft whose lines of sight pass close by the Sun to accurately measure deflection…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Slava G. Turyshev , Michael Shao , Kenneth L. Nordtvedt

Parallax is the most important astronomical method for determining the distances from the Earth to nearby stars. We present two hands-on activities that explore the concepts and practice of parallax measurement. The first activity is a…

Physics Education · Physics 2017-06-21 Markus Pössel

Light from astronomical objects must travel through the earth's turbulent atmosphere before it can be imaged by ground-based telescopes. To enable direct imaging at maximum theoretical angular resolution, advanced techniques such as those…

We obtain the geodesics for the simplest possible stealth defect which has a flat spacetime. We, then, discuss the lensing properties of such a defect, and the corresponding image formation. Similar lensing properties can be expected to…

General Relativity and Quantum Cosmology · Physics 2019-03-01 F. R. Klinkhamer , Z. L. Wang

The possibility to use observations of lensed relativistic jets on very small angular scales to construct proper models of spiral lens galaxies and to independently determine the Hubble constant is considered. On the example of the system…

Cosmology and Nongalactic Astrophysics · Physics 2013-10-14 T. I. Larchenkova , A. A. Lutovinov , N. S. Lyskova

Surprisingly, the issue of events localization in spacetime is poorly understood and a fortiori realized even in the context of Einstein's relativity. Accordingly, a comparison between observational data and theoretical expectations might…

General Physics · Physics 2017-09-05 Jacques L. Rubin

We re-examine the method of deprojection of proper motions, which has been used for finding the velocity ellipsoid of stars in the nearby Galaxy. This method is only legitimate if the lines of sight to the individual stars are uncorrelated…

Astrophysics of Galaxies · Physics 2015-05-14 Paul J. McMillan , James J. Binney