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We analytically compute the gravitational self-force correction to the gyroscope precession along slightly eccentric equatorial orbits in the Kerr spacetime, generalizing previous results for the Schwarzschild spacetime. Our results are…

General Relativity and Quantum Cosmology · Physics 2019-11-13 Donato Bini , Andrea Geralico

S-stars in the Galactic Center are excellent testbeds of various general relativistic effects. While previous works focus on modeling their orbital motion around Sgr A*--the supermassive black hole in the Galactic Center--here we explore…

High Energy Astrophysical Phenomena · Physics 2021-04-07 Yun Fang , Xian Chen

A novel approximation method in studying the perihelion precession and planetary orbits in general relativity is to use geodesic deviation equations of first and high-orders, proposed by Kerner et.al. Using higher-order geodesic deviation…

General Relativity and Quantum Cosmology · Physics 2019-07-16 Mohaddese Heydari-Fard , Malihe Heydari-Fard , Hamid Reza Sepangi

In this paper we study the orbits of massive bodies moving in the spacetime generated by a spherically symmetric and non-rotating distribution of mass. More specifically, our treatment discusses the more accurate calculation of the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Andreas Stergiou

To the first post--Newtonian order, the orbital angular momentum of the fast--revolving inner binary of the triple system PSR J0337+1715, made of a millisecond pulsar and a white dwarf, induces an annular gravitomagnetic field which…

General Relativity and Quantum Cosmology · Physics 2024-05-10 Lorenzo Iorio

After giving a short overview of previous results on constraining of Extended Gravity (EG) by stellar orbits, we discuss the Schwarzschild orbital precession of S2 star assuming the congruence with predictions of General Relativity (GR). At…

General Relativity and Quantum Cosmology · Physics 2021-11-02 D. Borka , V. Borka Jovanović , S. Capozziello , A. F. Zakharov , P. Jovanović

Through the Rossiter-McLaughlin effect, several hot Jupiters have been found to exhibit spin-orbit misalignment, and even retrograde orbits. The high obliquity observed in these planets can be attributed to two primary formation mechanisms,…

Earth and Planetary Astrophysics · Physics 2025-01-13 Huan-rong Yuan , Ying Wang , Xin Wu , Ji-wei Xie , Hui-gen Liu , Ji-lin Zhou , Wei Sun

Experimental discovery of the gravitomagnetic fields generated by translational and/or rotational currents of matter is one of primary goals of modern gravitational physics. The rotational (intrinsic) gravitomagnetic field of the Earth is…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Sergei M. Kopeikin

Astrometric and spectroscopic monitoring of individual stars orbiting the supermassive black hole in the Galactic Center offer a promising way to detect general relativistic effects. While low-order effects are expected to be detected…

In this paper we first calculate the post-Newtonian gravitoelectric secular rate of the mean anomaly of a test particle freely orbiting a spherically symmetric central mass. Then, we propose a novel approach to suitably combine the…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Lorenzo Iorio

We use galaxy-galaxy weak lensing data to perform a novel test on general relativity (GR) and $f(T)$ torsional gravity. In particular, we impose strong constraints using the torsional (teleparallel) formulation of gravity in which the…

Cosmology and Nongalactic Astrophysics · Physics 2020-11-25 Zhaoting Chen , Wentao Luo , Yi-Fu Cai , Emmanuel N. Saridakis

We analyze the Jordan-Brans-Dicke model (JBD) of gravity, where deviations from General Relativity (GR) are described by a scalar field non-minimally coupled to gravity. The theory is characterized by a constant coupling parameter,…

Astrophysics · Physics 2009-01-14 Viviana Acquaviva , Licia Verde

The Parameterized Post-Newtonian (PPN) formalism offers an agnostic framework for evaluating theories of gravity that extend beyond General Relativity. Departures from General Relativity are represented by a set of dimensionless parameters…

Astrophysics of Galaxies · Physics 2025-02-19 Victor de Mora Losada , Riccardo Della Monica , Ivan de Martino , Mariafelicia De Laurentis

The aim of our investigation is to derive a particular theory among the class of scalar-tensor(ST) theories of gravity, and then to test it by studying kinematics and dynamics of S-stars around supermassive black hole (BH) at Galactic…

Here we explore a novel approach in order to try to measure the post-Newtonian 1/c^2 Lense-Thirring secular effect induced by the gravitomagnetic field of the Sun on the planetary orbital motion. Due to the relative smallness of the solar…

General Relativity and Quantum Cosmology · Physics 2011-05-23 Lorenzo Iorio

We present the first analytical computation of the (conservative) gravitational self-force correction to the periastron advance around a spinning black hole. Our result is accurate to the second order in the rotational parameter and through…

General Relativity and Quantum Cosmology · Physics 2019-12-25 Donato Bini , Andrea Geralico

In this work we present an analytical gravitational self-force calculation of the spin-orbit precession along an eccentric orbit around a Schwarzschild black hole, following closely the recent prescription of Akcay, Dempsey, and Dolan. We…

General Relativity and Quantum Cosmology · Physics 2017-09-20 Chris Kavanagh , Donato Bini , Thibault Damour , Seth Hopper , Adrian C. Ottewill , Barry Wardell

We observed two secondary eclipses of the exoplanet WASP-12b using the Infrared Array Camera on the Spitzer Space Telescope. The close proximity of WASP-12b to its G-type star results in extreme tidal forces capable of inducing apsidal…

The double pulsar (PSR J0737-3039A/B) provides some of the most stringent tests of general relativity (GR) and its alternatives. The success of this system in tests of GR is largely due to the high-precision, long-term timing of its…

By ``nethotrons'', from the ancient Greek verb for to ``spin'', it is meant here a natural or artificial rotating object, like a pulsar or an artificial satellite, whose rotational axis is cumulatively displaced by the post-Newtonian static…

General Relativity and Quantum Cosmology · Physics 2025-06-13 Lorenzo Iorio
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