Relativistic Effects in Orbital Motion of the S-Stars at the Galactic Center

Gainutdinov, R. I.; Baryshev, Yu. V.

doi:10.3390/universe6100177

Cited by 11 publications

(7 citation statements)

References 33 publications

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“…Lense-Thirring Precession of the S2 Star Due to Spin of Sgr A* For the very precise calculations the Lense-Thirring (LT) precession caused by the SMBH spin should be also taken into account in the overall pN precession. In the case of the recently discovered ultra-eccentric S-stars S4711, S62, S4714 [101][102][103][104], the LT precession was studied in [102] and it was found that it is much smaller than Schwarzschild precession. Namely, the ratio between the LT precession for a rotating SMBH with dimensionless spin χ g = 0.5 and the Schwarzschild precession for these stars is around 2.7, 2.3 and 0.86%, respectively [102].…”

Section: Resultsmentioning

confidence: 99%

Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star

et al. 2021

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After giving a short overview of previous results on constraining of Extended Gravity by stellar orbits, we discuss the Schwarzschild orbital precession of S2 star assuming the congruence with predictions of General Relativity (GR). At the moment, the S2 star trajectory is remarkably fitted with the first post-Newtonian approximation of GR. In particular, both Keck and VLT (GRAVITY) teams declared that the gravitational redshift near its pericenter passage for the S2 star orbit corresponds to theoretical estimates found with the first post-Newtonian (pN) approximation. In 2020, the GRAVITY Collaboration detected the orbital precession of the S2 star around the supermassive black hole (SMBH) at the Galactic Center and showed that it is close to the GR prediction. Based on this observational fact, we evaluated parameters of the Extended Gravity theories with the Schwarzschild precession of the S2 star. Using the mentioned method, we estimate the orbital precession angles for some Extended Gravity models including power-law f(R), general Yukawa-like corrections, scalar–tensor gravity, and non-local gravity theories formulated in both metric and Palatini formalism. In this consideration, we assume that a gravitational field is spherically symmetric, therefore, alternative theories of gravity could be described only with a few parameters. Specifically, considering the orbital precession, we estimate the range of parameters of these Extended Gravity models for which the orbital precession is like in GR. Then we compare these results with our previous results, which were obtained by fitting the simulated orbits of S2 star to its observed astrometric positions. In case of power-law f(R), generic Yukawa-like correction, scalar–tensor gravity and non-local gravity theories, we were able to obtain a prograde orbital precession, like in GR. According to these results, the method is a useful tool to evaluate parameters of the gravitational potential at the Galactic Center.

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Section: Resultsmentioning

confidence: 99%

Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star

et al. 2021

View full text Add to dashboard Cite

show abstract

“…For the very precise calculations the Lense-Thirring (LT) precession caused by the SMBH spin should be also taken into account in the overall pN precession. In the case of the recently discovered ultra-eccentric S-stars S4711, S62, S4714 [101][102][103][104], the LT precession was studied in [102] and it was found that it is much smaller than Schwarzschild precession. Namely, the ratio between the LT precession for a rotating SMBH with dimensionless spin χ g = 0.5 and the Schwarzschild precession for these stars is around 2.7, 2.3 and 0.86%, respectively [102].…”

Section: Resultsmentioning

confidence: 99%

Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star

Borka,

Jovanović,

Capozziello

et al. 2021

Preprint

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After giving a short overview of previous results on constraining of Extended Gravity by stellar orbits, we discuss the Schwarzschild orbital precession of S2 star assuming the congruence with predictions of General Relativity (GR). At the moment, the S2 star trajectory is remarkably fitted with the first post-Newtonian approximation of GR. In particular, both Keck and VLT (GRAVITY) teams declared that the gravitational redshift near its pericenter passage for the S2 star orbit corresponds to theoretical estimates found with the first post-Newtonian (pN) approximation. In 2020, the GRAVITY Collaboration detected the orbital precession of the S2 star around the supermassive black hole (SMBH) at the Galactic Center and showed that it is close to the GR prediction. Based on this observational fact, we evaluated parameters of the Extended Gravity theories with the Schwarzschild precession of the S2 star. Using the mentioned method, we estimate the orbital precession angles for some Extended Gravity models including power-law f (R), general Yukawa-like corrections, scalar-tensor gravity, and non-local gravity theories formulated in both metric and Palatini formalism. In this consideration we assume that a gravitational field is spherically symmetric, therefore, alternative theories of gravity could be described only with a few parameters. Specifically, considering the orbital precession, we estimate the range of parameters of these Extended Gravity models for which the orbital precession is like in GR. We then compare these results with our previous results, which were obtained by fitting the simulated orbits of S2 star to its observed astrometric positions. In case of power-law f (R), generic Yukawa-like correction, scalar-tensor gravity and non-local gravity theories, we were able to obtain a prograde orbital precession, like in GR. According to these results, the method is a useful tool to evaluate parameters of the gravitational potential at the Galactic Center.

show abstract

“…Besides Schwarzschild precession, relativistic frame-dragging due to the spin of SMBH, also known as the Lense-Thirring (LT) effect, could cause orbital precession. The LT precession in the case of several S-stars was studied in references [18,[64][65][66][67], and it was found that it is much smaller than Schwarzschild precession [18,65]. The spin of Sgr A * was estimated to χ g < 0.1 by the observed distribution of the orbital planes of the S-stars [68].…”

Section: Gravitational Potentials and The Stellar Dynamicsmentioning

confidence: 99%

Estimating the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S2, S38 and S55 stars: case of bulk mass distribution

Borka,

Jovanović,

Nikolić

et al. 2022

Preprint

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We estimate the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S-stars, specifically of S2, S38 and S55 stars. We also take into account case of bulk mass distribution near Galactic Center. We assume that the Schwarzschild orbital precession of mentioned S-stars is the same like in General Relativity (GR) in all studied cases. In 2020 the GRAVITY Collaboration detected the orbital precession of the S2 star around the supermassive black hole (SMBH) at the Galactic Center and showed that it is close to the GR prediction. The astronomical data analysis of S38 and S55 orbits showed that also in these cases orbital precession is close to the GR prediction. Based on this observational fact, we evaluated parameters of the Hybrid Palatini Gravity model with the Schwarzschild precession of the S2, S38 and S55 stars and we estimated the range of parameters of Hybrid Palatini gravity model for which the orbital precession is like in GR for all tree stars. We also evaluated parameters of the Hybrid Palatini Gravity model in case of different values of bulk mass density distribution of extended matter. We believe that proposed method is a useful tool to evaluate parameters of the gravitational potential at the Galactic Center.

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Relativistic Effects in Orbital Motion of the S-Stars at the Galactic Center

Cited by 11 publications

References 33 publications

Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star

Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star

Estimating the Parameters of Extended Gravity Theories with the Schwarzschild Precession of S2 Star

Estimating the parameters of Hybrid Palatini gravity model with the Schwarzschild precession of S2, S38 and S55 stars: case of bulk mass distribution

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