NDLI: Second order Kerr deflection

Content Provider	Springer Nature Link
Author	Edery, A. Godin, J.
Copyright Year	2006
Abstract	We perform a full second order calculation of the deflection of light along the equatorial plane in the Kerr metric. Previous Kerr deflection calculations were interested in obtaining the correction due to rotation to the Einstein deflection. By expanding to first order in the rotational parameter a, they obtain the Einstein deflection of 4M/r o and the second order deflection due to rotation of $${4Ma/r_{\rm o}^2}$$ , (where r o is the point of closest approach). In this paper, we are interested in going beyond the rotational contribution for the purpose of astrophysical applications. We therefore keep all terms up to second order in our final weak field expansion. Besides the rotational contribution, we also obtain an extra second order term of $${7.78\,M^2/r_{\rm o}^2}$$ . Since M > a, this extra term is greater than the rotational contribution of $${4Ma/r_{\rm o}^2}$$ in astrophysical applications. When a/M is close to unity the terms are of the same order of magnitude.
Starting Page	1715
Ending Page	1722
Page Count	8
File Format	PDF
ISSN	00017701
Journal	General Relativity and Gravitation
Volume Number	38
Issue Number	11
e-ISSN	15729532
Language	English
Publisher	Kluwer Academic Publishers-Plenum Publishers
Publisher Date	2006-10-13
Publisher Place	New York
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Kerr Second order Kerr deflection Deflection of light Scattering Astronomy, Astrophysics and Cosmology Quantum Physics Differential Geometry Relativity and Cosmology Mathematical and Computational Physics
Content Type	Text
Resource Type	Article
Subject	Physics and Astronomy

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