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Title: RELATIVISTIC REDSHIFT EFFECTS AND THE GALACTIC-CENTER STARS

Abstract

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 passage. Previous work has computed post-Newtonian perturbations to the stellar orbits. We study the additional redshift effects due to perturbations of the light path (what one may call 'post-Minkowskian' effects), a calculation that can be elegantly formulated as a boundary-value problem. The post-Newtonian and post-Minkowskian redshift effects are comparable: both are O(beta{sup 3}) and amount to a few km s{sup -1} at pericenter for the star S2. On the other hand, the post-Minkowskian redshift contribution of spin is O(beta{sup 5}) and much smaller than the O(beta{sup 4}) post-Newtonian effect, which would be {approx}0.1 km s{sup -1} for S2.

Authors:
;  [1]
  1. Institute for Theoretical Physics, University of Zuerich, Winterthurerstrasse 190, CH-8057 Zuerich (Switzerland)
Publication Date:
OSTI Identifier:
21394385
Resource Type:
Journal Article
Journal Name:
Astrophysical Journal
Additional Journal Information:
Journal Volume: 711; Journal Issue: 1; Other Information: DOI: 10.1088/0004-637X/711/1/157; Journal ID: ISSN 0004-637X
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; BOUNDARY-VALUE PROBLEMS; GALAXY NUCLEI; GRAVITATION; ORBITS; PERTURBATION THEORY; RED SHIFT; RELATIVISTIC RANGE; STARS; ENERGY RANGE

Citation Formats

Angelil, Raymond, and Saha, Prasenjit. RELATIVISTIC REDSHIFT EFFECTS AND THE GALACTIC-CENTER STARS. United States: N. p., 2010. Web. doi:10.1088/0004-637X/711/1/157.
Angelil, Raymond, & Saha, Prasenjit. RELATIVISTIC REDSHIFT EFFECTS AND THE GALACTIC-CENTER STARS. United States. https://doi.org/10.1088/0004-637X/711/1/157
Angelil, Raymond, and Saha, Prasenjit. 2010. "RELATIVISTIC REDSHIFT EFFECTS AND THE GALACTIC-CENTER STARS". United States. https://doi.org/10.1088/0004-637X/711/1/157.
@article{osti_21394385,
title = {RELATIVISTIC REDSHIFT EFFECTS AND THE GALACTIC-CENTER STARS},
author = {Angelil, Raymond and Saha, Prasenjit},
abstractNote = {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 passage. Previous work has computed post-Newtonian perturbations to the stellar orbits. We study the additional redshift effects due to perturbations of the light path (what one may call 'post-Minkowskian' effects), a calculation that can be elegantly formulated as a boundary-value problem. The post-Newtonian and post-Minkowskian redshift effects are comparable: both are O(beta{sup 3}) and amount to a few km s{sup -1} at pericenter for the star S2. On the other hand, the post-Minkowskian redshift contribution of spin is O(beta{sup 5}) and much smaller than the O(beta{sup 4}) post-Newtonian effect, which would be {approx}0.1 km s{sup -1} for S2.},
doi = {10.1088/0004-637X/711/1/157},
url = {https://www.osti.gov/biblio/21394385}, journal = {Astrophysical Journal},
issn = {0004-637X},
number = 1,
volume = 711,
place = {United States},
year = {Mon Mar 01 00:00:00 EST 2010},
month = {Mon Mar 01 00:00:00 EST 2010}
}