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

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 pericenters of their orbits. In this work we consider motion of...

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Main Authors: Rustam Gainutdinov, Yurij Baryshev
Format: Article
Language:English
Published: MDPI AG 2020-10-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/6/10/177
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author Rustam Gainutdinov
Yurij Baryshev
author_facet Rustam Gainutdinov
Yurij Baryshev
author_sort Rustam Gainutdinov
collection DOAJ
description 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 pericenters of their orbits. In this work we consider motion of several S-stars by using the Parameterized Post-Newtonian (PPN) formalism of General Relativity (GR) and Post-Newtonian (PN) equations of motion of the Feynman’s quantum-field gravity theory, where the positive energy density of the gravity field can be measured via the relativistic pericenter shift. The PPN parameters <inline-formula><math display="inline"><semantics><mi>β</mi></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> are constrained using the S-stars data. The positive value of the <inline-formula><math display="inline"><semantics><msubsup><mi>T</mi><mi>g</mi><mn>00</mn></msubsup></semantics></math></inline-formula> component of the gravity energy–momentum tensor is confirmed for condition of S-stars motion.
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spelling doaj.art-e76211d8be8c4fe4bba0a3568818b05c2023-11-20T17:00:18ZengMDPI AGUniverse2218-19972020-10-0161017710.3390/universe6100177Relativistic Effects in Orbital Motion of the S-Stars at the Galactic CenterRustam Gainutdinov0Yurij Baryshev1SPb Branch of Special Astrophysical Observatory of Russian Academy of Sciences, 65 Pulkovskoye Shosse, 196140 St. Petersburg, RussiaAstrophysics Department, Mathematics & Mechanics Faculty, Saint Petersburg State University, 28 Universitetskiy Prospekt, 198504 St. Petersburg, RussiaThe 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 pericenters of their orbits. In this work we consider motion of several S-stars by using the Parameterized Post-Newtonian (PPN) formalism of General Relativity (GR) and Post-Newtonian (PN) equations of motion of the Feynman’s quantum-field gravity theory, where the positive energy density of the gravity field can be measured via the relativistic pericenter shift. The PPN parameters <inline-formula><math display="inline"><semantics><mi>β</mi></semantics></math></inline-formula> and <inline-formula><math display="inline"><semantics><mi>γ</mi></semantics></math></inline-formula> are constrained using the S-stars data. The positive value of the <inline-formula><math display="inline"><semantics><msubsup><mi>T</mi><mi>g</mi><mn>00</mn></msubsup></semantics></math></inline-formula> component of the gravity energy–momentum tensor is confirmed for condition of S-stars motion.https://www.mdpi.com/2218-1997/6/10/177Parameterized Post-Newtonian formalismrelativistic celestial mechanicsGalactic Center
spellingShingle Rustam Gainutdinov
Yurij Baryshev
Relativistic Effects in Orbital Motion of the S-Stars at the Galactic Center
Universe
Parameterized Post-Newtonian formalism
relativistic celestial mechanics
Galactic Center
title Relativistic Effects in Orbital Motion of the S-Stars at the Galactic Center
title_full Relativistic Effects in Orbital Motion of the S-Stars at the Galactic Center
title_fullStr Relativistic Effects in Orbital Motion of the S-Stars at the Galactic Center
title_full_unstemmed Relativistic Effects in Orbital Motion of the S-Stars at the Galactic Center
title_short Relativistic Effects in Orbital Motion of the S-Stars at the Galactic Center
title_sort relativistic effects in orbital motion of the s stars at the galactic center
topic Parameterized Post-Newtonian formalism
relativistic celestial mechanics
Galactic Center
url https://www.mdpi.com/2218-1997/6/10/177
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