Permanent URL to this publication: http://dx.doi.org/10.5167/uzh-34383
Angélil, R; Saha, P (2010). Relativistic redshift effects and the Galactic-center stars. Astrophysical Journal, 711(1):157-163.
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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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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute for Computational Science|
|Dewey Decimal Classification:||530 Physics|
|Deposited On:||02 Mar 2011 08:21|
|Last Modified:||06 Dec 2013 09:12|
|Publisher:||Institute of Physics Publishing|
|Free access at:||Publisher DOI. An embargo period may apply.|
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