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The Galactic Center star cluster, known as S-stars, is a perfect source of relativistic phenomena observations. The stars are located in the strong field of relativistic compact object Sgr A* and are moving with very high velocities at…

General Relativity and Quantum Cosmology · Physics 2020-10-15 Rustam Gainutdinov , Yurij Baryshev

Parametrized Post-Newtonian (PPN) equations of motion for several S-stars nearest to the Galactic Center compact relativistic object SgrA* are considered. The effect of the orbital periods difference between Newtonian and Post-Newtonian…

Astrophysics of Galaxies · Physics 2020-11-25 R. I. Gainutdinov

The S-star cluster in the Galactic center allows us to study the physics close to a supermassive black hole, including distinctive dynamical tests of general relativity. Our best estimates for the mass of and the distance to Sgr A* using…

Astrophysics of Galaxies · Physics 2017-08-14 M. Parsa , A. Eckart , B. Shahzamanian , V. Karas , M. Zajacek , J. A. Zensus , C. Straubmeier

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

The goal of this paper is to investigate the detection by GRAVITY of different relativistic effects affecting the astrometric and/or spectroscopic observations of S2 such as the transverse Doppler shift, the gravitational redshift, the…

High Energy Astrophysical Phenomena · Physics 2017-12-13 M. Grould , F. H. Vincent , T. Paumard , G. Perrin

The massive black hole at the Galactic center Sgr A* is surrounded by a cluster of stars orbiting around it. Light from these stars is bent by the gravitational field of the black hole, giving rise to several phenomena: astrometric…

Astrophysics of Galaxies · Physics 2015-06-04 V. Bozza , L. Mancini

The highly elliptical, 16-year-period orbit of the star S2 around the massive black hole candidate Sgr A* is a sensitive probe of the gravitational field in the Galactic centre. Near pericentre at 120 AU, ~1400 Schwarzschild radii, the star…

The S stars orbiting the Galactic center black hole reach speeds of up to a few percent the speed of light during pericenter passage. This makes, for example, S2 at pericenter much more relativistic than known binary pulsars, and opens up…

Astrophysics of Galaxies · Physics 2014-08-04 Raymond Angelil , Prasenjit Saha , David Merritt

The S stars near the Galactic centre and any pulsars that may be on similar orbits, can be modelled in a unified way as clocks orbiting a black hole, and hence are potential probes of relativistic effects, including black hole spin. The…

Astrophysics of Galaxies · Physics 2014-09-22 Raymond Angélil , Prasenjit Saha

The S-stars around the center of the milky way galaxy provide us with detailed information about the nature of the supermassive compact object Sagittarius A* (Sgr A*). In this work, we derive the fully relativistic orbit equations for the…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Parth Bambhaniya , Meet J. Vyas , Pankaj S. Joshi , Elisabete M. de Gouveia Dal Pino

The high pericenter velocities (up to a few percent of light) of the S stars around the Galactic-center black hole suggest that general relativistic effects may be detectable through the time variation of the redshift during pericenter…

General Relativity and Quantum Cosmology · Physics 2014-08-04 Raymond Angélil , Prasenjit Saha

We report our rederivation of the equations of motion for relativistic compact binaries through the third-and-a-half post-Newtonian (3.5 PN) order approximation to general relativity using the strong field point particle limit to describe…

General Relativity and Quantum Cosmology · Physics 2010-10-12 Yousuke Itoh

It has been recently shown (Munyaneza, Tsiklauri and Viollier 1998) that the analysis of the orbits of the fast moving stars close to Sgr A$^{*}$ (Eckart and Genzel 1997) provides a valuable tool to probe the gravitational potential near…

Astrophysics · Physics 2009-10-31 Faustin Munyaneza , David Tsiklauri , Raoul D. Viollier

Several stars orbit around a black hole candidate of mass $3.7\times 10^6$ M$_{\odot}$, in the region of the Galactic Center (GC). Looking for General Relativistic (GR) periastron shifts is limited by the existence of a stellar cluster…

Astrophysics · Physics 2015-05-13 A. A. Nucita , F. De Paolis , G. Ingrosso , A. Qadir , A. F. Zakharov

Stellar pulsations in rotating relativistic stars are reviewed. Slow rotation approximation is applied to solving the Einstein equations. The rotational effects on the non-axisymmetric oscillations are explicitly shown in the polar and…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yasufumi Kojima

In this work, we perform a relativistic test of the spacetime geometry of Sagittarius A* (Sgr A*) using the orbit of the S2 star. We consider a broad class of compact object models, including Schwarzschild, Reissner-Nordstr\"om, Bardeen,…

General Relativity and Quantum Cosmology · Physics 2026-05-22 Parth Bambhaniya , Preet Dalal , Giovani H. Vicentin , Riccardo Della Monica , Elisabete M. de Gouveia Dal Pino , Bina Patel

In recent years, there has been increasing recognition of the potential of the galactic center as a probe of general relativity in the strong field. There is almost certainly a black hole at Sgr A* in the galactic center, and this would…

General Relativity and Quantum Cosmology · Physics 2011-05-24 Amitai Y. Bin-Nun

Scalar-tensor-vector gravity, also known as modified gravity (MOG), has emerged as an alternative to General Relativity (GR). It aims to explain astrophysical phenomena without invoking dark matter. The S-stars orbiting the supermassive…

General Relativity and Quantum Cosmology · Physics 2026-05-21 Ioannis Liodis , Gernot Heissel , Rita Mastroioanni , Jai Grover , Dario Izzo

Motion of short-period stars orbiting the supermassive black hole in our Galactic Center has been monitored for more than 20 years. These observations are currently offering a new way to test the gravitational theory in an unexplored…

When rotation is not taken into account, the measurement of the Gravitational Redshift can provide unique information about the compactness ($M/R$) of the star. Rotation alters the gravitational redshift rendering thereby a unique…

Astrophysics · Physics 2011-06-10 Paul Nunez , Marek Nowakowski
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