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Relativistic redshift effects and the Galactic-center stars


Angélil, R; Saha, P (2010). Relativistic redshift effects and the Galactic-center stars. Astrophysical Journal, 711(1):157-163.

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 \mathcal O(\beta ^3) and amount to a few km s-1 at pericenter for the star S2. On the other hand, the post-Minkowskian redshift contribution of spin is \mathcal O(\beta ^5) and much smaller than the \mathcal O(\beta ^4) post-Newtonian effect, which would be ~0.1 km s-1 for S2.

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 \mathcal O(\beta ^3) and amount to a few km s-1 at pericenter for the star S2. On the other hand, the post-Minkowskian redshift contribution of spin is \mathcal O(\beta ^5) and much smaller than the \mathcal O(\beta ^4) post-Newtonian effect, which would be ~0.1 km s-1 for S2.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Language:English
Date:March 2010
Deposited On:02 Mar 2011 08:21
Last Modified:05 Apr 2016 14:09
Publisher:Institute of Physics Publishing
ISSN:0004-637X
Free access at:Publisher DOI. An embargo period may apply.
Publisher DOI:10.1088/0004-637X/711/1/157
Related URLs:http://arxiv.org/abs/1001.1957
Permanent URL: http://doi.org/10.5167/uzh-34383

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