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The exact metric of a Schwarzschild black hole in the true radiation gauge was recently reported. In this work, we base on this gravity and calculate the gravitational deflection of relativistic massive particles up to the fourth…

General Relativity and Quantum Cosmology · Physics 2020-07-27 Zonghai Li , Xia Zhou , Weijun Li , Guansheng He

The geodetic VLBI technique is capable of measuring the Sun's gravity light deflection from distant radio sources around the whole sky. This light deflection is equivalent to the conventional gravitational delay used for the reduction of…

Instrumentation and Methods for Astrophysics · Physics 2017-02-23 O. Titov

Gravitational lensing is a powerful probe of cosmology and astrophysics. With the prospect of the first strongly lensed gravitational waves on the horizon, we highlight an opportunity to test fundamental physics. In this work, we assume a…

General Relativity and Quantum Cosmology · Physics 2026-02-03 Elena Colangeli , Charles Dalang , Tessa Baker

We present a new method of measuring the mass density along the line of sight, based on precise measurements of the variations of the times of arrival (TOA's) of electromagnetic signals propagating between two distant regions of spacetime.…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Mikołaj Korzyński , Jan Miśkiewicz , Julius Serbenta

Since Bekenstein's (2004) creation of his Tensor-Vector-Scalar theory (TeVeS), the Modified Newtonian dynamics (MOND) paradigm has been redeemed from the embarrassment of lacking a relativistic version. One primary success of TeVeS is that…

Astrophysics · Physics 2009-11-13 Mu-Chen Chiu , Chung-Ming Ko , Yong Tian

Soon after he proposed three classic observational tests for the general theory of relativity, Einstein realised that a consistent description of the universe as a whole provided another important challenge for the theory. In this essay, we…

History and Philosophy of Physics · Physics 2022-01-19 Cormac O'Raifeartaigh

In Gedankenexperiment mentioned in the title, the imprecision in space-time measurement is related to the spreading of clock's wave-function with the passage of time required for the measurement. Special relativity puts a bound on the…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Michael Maziashvili

We propose an experiment using a conventional optical telescope to determine whether aberration of starlight results from special relativistic effects external to a measurement sensor or from optical effects within a sensor. The proposed…

Instrumentation and Methods for Astrophysics · Physics 2013-07-30 Robert A. Woodruff

We analyse a manuscript star catalogue by Wilhem IV, Landgraf von Hessen-Kassel, from 1586. From measurements of altitudes and of angles between stars, given in the catalogue, we find that the measurement accuracy averages 26 arcsec for…

Instrumentation and Methods for Astrophysics · Physics 2021-06-02 Frank Verbunt , Andreas Schrimpf

General relativity (GR) faces challenges from cosmic acceleration and observational tensions, necessitating stringent tests at cosmological scales. In this work, we probe GR deviations via a $\mu$--$\Sigma$ modified gravity…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-29 Guo-Hong Du , Tian-Nuo Li , Tonghua Liu , Jing-Fei Zhang , Xin Zhang

One of two postulates that are base for special relativity is that the laws of physics are invariant in all inertial systems, which has as a consequence that it is impossible for an observer to detect his motion through space. It will be…

General Physics · Physics 2017-02-15 Branislav Vlahovic

The era of practical terrestrial applications of gravity gradiometry begun in 1890 when Baron Lorand von E\"otv\"os, a Hungarian nobleman and a talented physicist and engineer, invented his famous torsion balance - the first practical…

Quantum Physics · Physics 2022-01-17 Alexey V. Veryaskin , Michael E. Tobar

Various authors have investigated the problem of light deflection by radially moving gravitational lenses - with inconsistent results. In this paper we generalize the calculations for arbitrary lens velocities and show that, to first order…

Astrophysics · Physics 2007-05-23 Olaf Wucknitz , Ulrich Sperhake

This report is a literature review of significant and successful tests of general relativity [GR]. The GR predicted value for the perihelion advance of Mercury was Deltaf = 43.03 arcsec century^-1 and fit well with observation, being the…

General Relativity and Quantum Cosmology · Physics 2017-05-15 Estelle Asmodelle

Gravitational lensing has long been used to measure or constrain cosmology models. Although the lensing effect of gravitational waves has not been observed by LIGO/Virgo, it is expected that there can be a few to a few hundreds lensed…

Cosmology and Nongalactic Astrophysics · Physics 2021-08-19 Shaoqi Hou , Xi-Long Fan , Zong-Hong Zhu

We model massive dark objects at centers of many galaxies as Schwarzschild black hole lenses and study gravitational lensing by them in detail. We show that the ratio of mass of a Schwarzschild lens to the differential time delay between…

General Relativity and Quantum Cosmology · Physics 2009-04-13 K. S. Virbhadra

The Hilbert-Einstein equations are insufficient to describe the geometry of the Universe, as they only constrain a local geometrical property: curvature. A global knowledge of the geometry of space, if possible, would require measurement of…

Astrophysics · Physics 2014-10-13 Boudewijn F. Roukema

Laser Interferometer Gravitational-Wave Observatory (LIGO) was the first laboratory to measure the gravitational waves. It was needed an exceptional experimental design to measure distance changes much less than a radius of a proton. In the…

General Relativity and Quantum Cosmology · Physics 2020-03-24 Gerson R. Santos , Marcela P. Figueiredo , Antonio de Pádua Santos , Pavlos Protopapas , Tiago A. E. Ferreira

Gravitational waves (GWs) may be magnified or de-magnified due to lensing. This phenomenon will bias the distance estimation based on the matched filtering technique. Via the multi-sphere ray-tracing technique, we study the GW magnification…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-21 Xikai Shan , Chengliang Wei , Bin Hu

In the year 1924, a paper by Carl Wirtz appeared in Astronomische Nachrichten, entitled 'De Sitter's cosmology and the radial motion of spiral galaxies'. This paper and its author remained largely unnoticed by the community, but it seems to…

History and Philosophy of Physics · Physics 2024-11-15 Tom Richtler