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A null ray approaching a distant astronomical source appears to slow down, while a massive particle speeds up in accordance with Newtonian gravitation. The integration of these apparently incompatible aspects of motion in general relativity…

Astrophysics · Physics 2009-11-13 Bahram Mashhoon

Time-varying gravitomagnetic fields are considered within the linear post-Newtonian approach to general relativity. A simple model is developed in which the gravitomagnetic field of a localized mass-energy current varies linearly with time.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bahram Mashhoon

Some physically interesting weak-gravitational effects and phenomena are reviewed and briefly discussed: particle geometric phases due to the time-dependent spin-rotation couplings, non-inertial gravitational wave in rotating reference of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jian Qi Shen

An intervening galaxy acts as a gravitational lens and produces multiple images of a single source such as a remote galaxy. Galaxies have peculiar speeds in addition to the bulk motion arising due to the expansion of the universe. There is…

Cosmology and Nongalactic Astrophysics · Physics 2023-01-23 Gihan Weerasekara , Thulsi Wickramasinghe , Chandana Jayaratne

To the first post-Newtonian order, if two test particles revolve in opposite directions about a massive, spinning body along two circular and equatorial orbits with the same radius, they take different times to return to the reference…

General Relativity and Quantum Cosmology · Physics 2024-03-19 Lorenzo Iorio

We consider an alternative formula for time delay in gravitational lensing. Imposing a smoothness condition on the gravitationally deformed paths followed by the photons from the source to the observer, we show that our formula displays the…

Cosmology and Nongalactic Astrophysics · Physics 2018-07-04 Nicola Alchera , Marco Bonici , Roberta Cardinale , Alba Domi , Nicola Maggiore , Chiara Righi , Silvano Tosi

Gravitational lens models, some of which might act as if a concave lens, have been recently investigated by using a static and spherically symmetric modified spacetime metric that depends on the inverse distance to the $n$-th power…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Koki Nakajima , Koji Izumi , Hideki Asada

We review a theorem of Gao-Wald on a kind of a gravitational "time delay" effect in null geodesically complete spacetimes under NEC and NGC, and we observe that it is not valid anymore throughout its statement, as well as a conclusion that…

Mathematical Physics · Physics 2019-10-29 Kyriakos Papadopoulos

The time delay effect for planets and spacecraft is obtained from a fully relativistic modified gravity theory including a fifth force skew symmetric field by fitting to the Pioneer 10/11 anomalous acceleration data. A possible detection of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 J. W. Moffat

A Gravitoelectromagnetism formalism in the context of metric f(R) theory is presented and the analogue Lorentz force law is derived. Some interesting results such as the dependence of the deviation from General Relativity on the absolute…

General Relativity and Quantum Cosmology · Physics 2019-08-28 Abhinandan Dass , Stefano Liberati

We describe a class of modified gravity theories that deform general relativity in a way that breaks time reversal invariance and, very mildly, locality. The algebra of constraints, local physical degrees of freedom, and their linearized…

General Relativity and Quantum Cosmology · Physics 2015-08-12 Marina Cortes , Henrique Gomes , Lee Smolin

We use the gravitoelectromagnetic approach to the solutions of Einstein's equations in the weak-field and slow-motion approximation to investigate the impact of General Relativity on galactic dynamics. In particular, we focus on a class of…

General Relativity and Quantum Cosmology · Physics 2023-05-26 Davide Astesiano , Matteo Luca Ruggiero

In gravitational lensing, steeper mass profiles generically produce longer time delays but smaller magnifications, without necessarily changing the image positions or magnification ratios between different images. This is well known. We…

Astrophysics · Physics 2008-11-26 P. Saha , L. L. R. Williams

The expression of gravitational time advancement (negative time delay) for particles with non-zero mass in Schwarzschild geometry has been obtained. The influences of the gravitational field that describes the observed rotation curves of…

General Relativity and Quantum Cosmology · Physics 2019-05-21 Samrat Ghosh , Arunava Bhadra , Amitabha Mukhopadhyay

We study the gravitational lensing in the weak field approximation assuming the presence of a plasma and of a magnetic field around a compact gravitational source. The external magnetic field causes the split of the image, as the…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Bobur Turimov , Bobomurat Ahmedov , Ahmadjon Abdujabbarov , Cosimo Bambi

Using Fermat's principle, we analyze the effects of very long wavelength gravitational waves upon the images of a gravitationally lensed quasar. We show that the lens equation in the presence of gravity waves is equivalent to that of a lens…

Astrophysics · Physics 2011-09-09 J. Frieman , D. Harari , G. Surpi

We study causality in gravitational systems beyond the classical limit. Using on-shell methods, we consider the one-loop corrections from charged particles to the photon energy-momentum tensor - the self-stress - that controls the quantum…

High Energy Physics - Theory · Physics 2022-06-08 Brando Bellazzini , Giulia Isabella , Matthew Lewandowski , Francesco Sgarlata

When dealing with galactic dynamics, or more specifically, with galactic rotation curves, one basic assumption is always taken: the frame of reference relative to which the rotational velocities are given is assumed to be inertial. In other…

Astrophysics of Galaxies · Physics 2021-05-25 Roy Gomel , Tomer Zimmerman

In 2008 a group of NASA scientists reported an anomalous change in the speed of six spacecraft flybys of the Earth. The reported speed change for the NEAR spacecraft flyby is 13.46+-0.01 mm/s. It is known that general relativity theory…

General Physics · Physics 2011-03-01 J. C. Hafele

The article deals with the role of gravitational radiation energy in the large-scale dynamics of the universe. Motivated by the observed accelerated expansion, we investigate whether gravitational energy, treated as a well-defined physical…

General Relativity and Quantum Cosmology · Physics 2026-05-20 S. C. Ulhoa , F. L. Carneiro , J. W. Maluf