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In the weak field and slow motion approximation, the general relativistic field equations are linearized, resembling those of the electromagnetic theory. In a way analogous to that of a moving charge generating a magnetic field, a mass…

General Relativity and Quantum Cosmology · Physics 2013-07-12 Ioannis Haranas , Omiros Ragos , Ioannis Gkigkitzis

The Rotational Doppler Effect (RDE) involves both the orbital angular momentum of electromagnetic radiation as well as its helicity. The RDE phenomena associated with photon helicity go beyond the standard theory of relativity. The purpose…

General Relativity and Quantum Cosmology · Physics 2024-03-27 Bahram Mashhoon

We study the orbital dynamics and relativistic precession effects in the spacetime of rotating braneworld black holes within the Randall-Sundrum framework. For test particles on spherical orbits, we analyze three conserved…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Hui-Min Wang , Kai Liao , Shao-Wen Wei

We analytically work out the long-term rates of change of the six osculating Keplerian orbital elements of a test particle acted upon by the Lorentz-violating gravitomagnetic acceleration due to a static body, as predicted by the Standard…

General Relativity and Quantum Cosmology · Physics 2012-08-22 Lorenzo Iorio

This work studies the periapsis shift in the equatorial plane of arbitrary stationary and axisymmetric spacetimes. Two perturbative methods are systematically developed. The first work for small eccentricity but very general orbit size and…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Jinhong He , Shaofei Xu , Junji Jia

An exact expression for the rate of dragging of inertial frames (Lense-Thirring (LT) precession) in a general stationary spacetime, is derived without invoking the weak field approximation. This expression, when used for the Kerr metric,…

General Relativity and Quantum Cosmology · Physics 2013-04-29 Chandrachur Chakraborty , Parthasarathi Majumdar

Gravity darkening induced by rapid stellar rotation provides us with a unique opportunity to characterize the spin-orbit misalignment of a planetary system through analysis of its photometric transit. We use the gravity-darkened transit…

Earth and Planetary Astrophysics · Physics 2017-12-27 Miranda K. Herman , Ernst J. W. de Mooij , Chelsea X. Huang , Ray Jayawardhana

Of all the solar fundamental parameters (mass, diameter, gravity at the surface,...), the gravitational moments have been quite often ignored in the past, mainly due to the great difficulty to get a reliable estimate. Even though the order…

Solar and Stellar Astrophysics · Physics 2022-08-16 Jean-Pierre Rozelot , Ali Kilcik , Zahra Fazel

Gravitational lensing events provide unique opportunities to discover and study planetary systems and binaries. Here we build on previous work to explore the role that orbital motion can play in both identifying and learning more about…

Earth and Planetary Astrophysics · Physics 2014-12-25 Rosanne Di Stefano , Ann Esin

Action of solar wind on arbitrarily shaped interplanetary dust particle is investigated. The final relativistically covariant equation of motion of the particle contains both orbital evolution and change of particle's mass. Non-radial solar…

Earth and Planetary Astrophysics · Physics 2009-04-20 J. Klacka , J. Petrzala , P. Pastor , L. Komar

We analytically work out several effects which a violation of the Strong Equivalence Principle (SEP) induces on the orbital motion of a binary system constituted of self-gravitating bodies immersed in a constant and uniform external field.…

General Relativity and Quantum Cosmology · Physics 2012-12-18 L. Iorio

We investigate the optical properties of the solar gravitational lens (SGL) in the presence of the solar corona. For this, we consider the combined influence of the static spherically symmetric gravitational field of the Sun---modeled…

General Relativity and Quantum Cosmology · Physics 2019-02-11 Slava G. Turyshev , Viktor T. Toth

One of the most well-known tests of General Relativity (GR) results from combining measurements of the anomalous precession of the orbit of Mercury with a determination of the gravitational quadrupole moment of the Sun J_2. The latter can…

Astrophysics · Physics 2016-08-30 F. P. Pijpers

We consider a nearly free falling Earth satellite where atomic wave interferometers are tied to a telescope pointing towards a faraway star. They measure the acceleration and the rotation relatively to the local inertial frame. We calculate…

General Relativity and Quantum Cosmology · Physics 2009-11-10 M-C. Angonin-Willaime , X. Ovido , Ph. Tourrenc

Astrophysical evidence has hinted at the existence of a nonzero NUT charge, which breaks the $\mathbb{Z}_2$ symmetry of spacetime and induces novel features in geodesics. In this work, we investigate the Lense-Thirring precession of the…

General Relativity and Quantum Cosmology · Physics 2025-08-15 Xiang-Cheng Meng , Shan-Ping Wu , Shao-Wen Wei

We study the impact of the cosmological environment on the solar gravitational system by the imbedding formalism of Gautreau. It appears that the cosmic mean-mass density and the cosmological constant give negligibly small contribution to…

Astrophysics · Physics 2007-05-23 D. Palle

We analytically calculate some orbital effects induced by the Lorentz-invariance/momentum-conservation PPN parameter $\alpha_3$ in a gravitationally bound binary system made of a compact primary orbited by a test particle. We neither…

General Relativity and Quantum Cosmology · Physics 2014-09-30 Lorenzo Iorio

Rotation is a significant characteristic of the Sun and other stars, and it plays an important role in understanding their dynamo actions and magnetic activities. In this study, the rotation of the solar chromospheric activity is…

Solar and Stellar Astrophysics · Physics 2020-10-22 Jing-Chen Xu , Peng-Xin Gao , Xiang-Jun Shi

Spacetime curvature of the Earth deforms wavepackets of photons sent from the Earth to satellites, thus influencing the quantum state of light. We show that Gaussian steering of photon pairs, which are initially prepared in a two-mode…

Quantum Physics · Physics 2018-10-25 Tonghua Liu , Jiliang Jing , Jieci Wang

Comparing solar and stellar brightness variations is hampered by the difference in spectral passbands used in observations as well as by the possible difference in the inclination of their rotation axes from the line of sight. We calculate…

Solar and Stellar Astrophysics · Physics 2020-07-01 N. -E. Nèmec , E. Işık , A. I. Shapiro , S. K. Solanki , N. A. Krivova , Y. Unruh