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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Bibliographic Details
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
Description
Summary: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.
ISSN:2218-1997