Long-term classical and general relativistic effects on the radial velocities of the stars orbiting Sgr A*

Abstract

We analytically work out the cumulative, i.e. averaged over one orbital revolution, time variations of the radial velocity v_r of a typical S star orbiting the Supermassive Black Hole (SBH) hosted by the Galactic Center (GC) in Sgr A* caused by several dynamical effects. They are the general relativistic gravitoelectromagnetic (GEM) fields of the SBH, its quadrupole mass moment Q2, and a diffuse dark matter distribution around the SBH. All of them induce non-zero secular radial accelerations proportional to the eccentricity e of the orbit. By taking the S2 star, orbiting the SBH along a highly eccentric (e = 0.8831) ellipse with a period Pb = 15.9 yr, we numerically compute the magnitudes of its radial accelerations (Abridged).

LaTex2e, 23 pages, no tables, 1 figure. To appear in Monthly Notices of the Royal Astronomical Society (MNRAS)

References in corpus (7)

• Trigonometric Parallaxes of Massive Star Forming Regions: VI. Galactic Structure, Fundamental Parameters and Non-Circular Motions
• The Two Young Star Disks in the Central Parsec of the Galaxy: Properties, Dynamics and Formation
• Testing the general relativistic ''no-hair'' theorems using the galactic center black hole SgrA*
• Periapsis and gravitomagnetic precessions of stellar orbits in Kerr and Kerr-de Sitter black hole spacetimes
• Apoastron Shift Constraints on Dark Matter Distribution at the Galactic Center
• On post-Newtonian orbits and the Galactic-center stars
• Relativistic orbits with gravitomagnetic corrections

Cited by in corpus (30)

• Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
• Observing a wormhole
• Sgr A* and General Relativity
• Precise analytic treatment of Kerr and Kerr-(anti) de Sitter black holes as gravitational lenses
• The nuclear cluster of the Milky Way: Our primary testbed for the interaction of a dense star cluster with a massive black hole
• Testing the No-Hair Theorem with Observations of Black Holes in the Electromagnetic Spectrum
• Perturbed stellar motions around the rotating black hole in Sgr A* for a generic orientation of its spin axis
• Scalar field effects on the orbit of S2 star
• A sensitive search for wormholes
• On Testing the Kerr Metric of the Massive Black Hole in the Galactic Center via Stellar Orbital Motion: Full General Relativistic Treatment
• Exact Hairy Black Holes and their Modification to the Universal Law of Gravitation
• Testing the No-Hair Theorem with Observations of Black Holes in the Electromagnetic Spectrum
• Prospects for constraining the spin of the massive black hole at the Galactic center via the relativistic motion of a surrounding star
• The Klein-Gordon-Fock equation in the curved spacetime of the Kerr-Newman (anti) de Sitter black hole
• The Galactic Center as a laboratory for theories of gravity and dark matter
• On the Newtonian and Spin-induced Perturbations felt by the Stars Orbiting around the Massive Black Hole in the Galactic Center
• The short-period S-stars S4711, S62, S4714 and the Lense-Thirring effect due to the spin of Sgr A${}^{\ast }$
• On the post-Keplerian corrections to the orbital periods of a two-body system and their application to the Galactic Center
• Analytical time-like geodesics
• A tale of analogies: gravitomagnetic effects, rotating sources, observers and all that
• Parametrized Post-Newtonian Orbital Effects in Extrasolar Planets
• PPN motion of the S-stars around Sgr A*
• Cosmic censorship conjecture in a general Kerr-Newman black hole
• Dark halo microphysics and massive black hole scaling relations in galaxies
• Is it possible to measure the Lense-Thirring orbital shifts of the short-period S-star S4716 orbiting Sgr A${}^{\ast }$?
• The relativistic precession of the orbits
• Radial Velocity Measurements of an Orbiting Star Around Sgr A*
• An adaptive scheduling tool to optimize measurements to reach a scientific objective: methodology and application to the measurements of stellar orbits in the Galactic Center
• Inertial Frame Dragging and Relative Rotation of ZAMOs in Axistationary Asymptotically Flat Spacetimes
• The Carter Constant for Inclined Orbits About a Massive Kerr Black Hole: near-circular, near-polar orbits