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To evaluate a potential usually one analyzes trajectories of test particles. For the Galactic Center case astronomers use bright stars or photons, so there are two basic observational techniques to investigate a gravitational potential,…

General Relativity and Quantum Cosmology · Physics 2019-01-25 Alexander Zakharov

Observed evolution of the total mass distribution with redshift is crucial to testing galaxy evolution theories. To measure the total mass distribution, strong gravitational lenses complement the resolved dynamical observations currently…

We present measurements of both scale- and time-dependent deviations from the standard gravitational field equations. These late-time modifications are introduced separately for relativistic and non-relativistic particles, by way of the…

Cosmology and Nongalactic Astrophysics · Physics 2016-03-16 Andrew Johnson , Chris Blake , Jason Dossett , Jun Koda , David Parkinson , Shahab Joudaki

We review the experimental evidence for Einstein's special and general relativity. A variety of high precision null experiments verify the weak equivalence principle and local Lorentz invariance, while gravitational redshift and other clock…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Clifford M. Will

We present an analytic method for rapidly forecasting the accuracy of gravitational potential reconstruction possible from measurement of radial peculiar velocities of every galaxy cluster with M > M_th in solid angle \theta^2 and over…

Astrophysics · Physics 2009-11-07 Olivier Doré , Lloyd Knox , Alan Peel

We derive a new relation between cosological distances, valid in any (statistically) isotropic space-time and independent of cosmological parameters or even the validity of the field equation of General Relativity. In particular, this…

Cosmology and Nongalactic Astrophysics · Physics 2016-08-03 Peter Schneider

The theory of General Relativity has successfully passed a large number of observational tests. The theory has been extensively tested in the weak-field regime with experiments in the Solar System and observations of binary pulsars. The…

General Relativity and Quantum Cosmology · Physics 2021-03-23 Cosimo Bambi

Peculiar velocities are a precious tool to study the large-scale distribution of matter in the local universe and test cosmological models. However, present measurements of peculiar velocities are based on empirical distance indicators,…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-26 Y. Y. Wang , F. Y. Wang , Y. C. Zou

We review recent developments and results in testing general relativity (GR) at cosmological scales. The subject has witnessed rapid growth during the last two decades with the aim of addressing the question of cosmic acceleration and the…

Cosmology and Nongalactic Astrophysics · Physics 2019-12-09 Mustapha Ishak

Here the Weyl curvature hypothesis is examined using the gravitational entropy (GE). We have considered the family of C-metric accelerating black holes and evaluated their corresponding gravitational entropy. Then we studied the GE in some…

General Relativity and Quantum Cosmology · Physics 2024-01-23 Samarjit Chakraborty

The $E_G$ statistic is a powerful probe for detecting deviations from GR by combining weak lensing (WL), real-space clustering and redshift space distortion (RSD) measurements thus probing both the lensing and the growth effective Newton…

Cosmology and Nongalactic Astrophysics · Physics 2020-03-26 F. Skara , L. Perivolaropoulos

The standard approach to test for deviations from general relativity on cosmological scales is to combine measurements of the growth rate of structure with gravitational lensing. In this study, we show that this method suffers from an…

Cosmology and Nongalactic Astrophysics · Physics 2024-11-26 Sveva Castello , Zhuangfei Wang , Lawrence Dam , Camille Bonvin , Levon Pogosian

Alternative theories of gravity predict modifications in the propagation of gravitational waves (GW) through space-time. One of the smoking-gun predictions of such theories is the change in the GW luminosity distance to GW sources as a…

Cosmology and Nongalactic Astrophysics · Physics 2021-01-08 Suvodip Mukherjee , Benjamin D. Wandelt , Joseph Silk

We use weak gravitational lensing to measure mean mass profiles around Locally Brightest Galaxies (LBGs). These are selected from the SDSS/DR7 spectroscopic and photometric catalogues to be brighter than any neighbour projected within 1.0…

Cosmology and Nongalactic Astrophysics · Physics 2016-01-15 Wenting Wang , Simon White , Rachel Mandelbaum , Bruno Henriques , Michael E. Anderson , Jiaxin Han

On May 29, 2023, the LIGO Livingston observatory detected the gravitational-wave signal GW230529_181500 from the merger of a neutron star with a lower mass-gap compact object. Its long inspiral signal provides a unique opportunity to test…

Modified gravity theories may provide an alternative to dark energy to explain cosmic acceleration. We argue that the observational program developed to test dark energy needs to be augmented to capture new tests of gravity on astrophysical…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 Bhuvnesh Jain

If general relativity is the correct theory of physics on large scales, then there is a differential equation that relates the Hubble expansion function, inferred from measurements of angular diameter distance and luminosity distance, to…

Astrophysics · Physics 2011-02-01 Mustapha Ishak , Amol Upadhye , David N. Spergel

Gravitational wave signals from compact binary coalescences offer a powerful and reliable probe of General Relativity. To date, the LIGO-Virgo-KAGRA collaboration has provided stringent consistency tests of General Relativity predictions.…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Andrea Begnoni , Walter Del Pozzo , Matteo Pegorin , Joachim Pomper , Angelo Ricciardone

The observed acceleration of the universe, explained through dark energy, could alternatively be explained through a modification of gravity that would also induce modifications in the evolution of cosmological perturbations. We use new…

Cosmology and Nongalactic Astrophysics · Physics 2011-09-16 Ismael Tereno , Elisabetta Semboloni , Tim Schrabback

Einstein's theory of General Relativity is one of the pillars of modern physics. For decades, the theory has been mainly tested in the weak field regime with experiments in the Solar System and observations of binary pulsars. Thanks to a…

General Relativity and Quantum Cosmology · Physics 2022-06-06 Cosimo Bambi
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