Prog. Theor. Phys. Vol. 104 No. 6 (2000) pp. 1317-1320

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Letters

Do Relativistic Corrections Affect Microlensing Amplification?

Junya Ebina,¹ Takeaki Osuga,¹ Hideki Asada^1,2,^*) and Masumi Kasai^1,^**)

¹Faculty of Science and Technology, Hirosaki University, Hirosaki 036-8561, Japan
²Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Str. 1
D-85741 Garching, Germany

(Received August 21, 2000)

Abstract:

Studies of gravitational microlensing are usually based on the lens equation, which is valid only to first order in the gravitational constant G. However, the amplification factor of microlensing is a second-order quantity with respect to G. Despite this fact, conventional studies are still based on the lowest-order lens equation. Then the question naturally arises: Why are these conventional studies justified? We carefully study the relativistic correction to the amplification factor at O(G²). We show that the amplification factor for each image is corrected. However, the total amplification remains unchanged at this order.

URL : http://ptp.ipap.jp/link?PTP/104/1317/
DOI : 10.1143/PTP.104.1317

^*)E-mail address: asada@phys.hirosaki-u.ac.jp
^**)E-mail address: kasai@phys.hirosaki-u.ac.jp

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Citing Article(s) :

Progress of Theoretical Physics Vol. 105 No. 5 (2001) pp. 893-896 :
Relativistic Corrections to Astrometric Shifts Due to Gravitational Microlensing

Geraint F. Lewis and X. Rosalind Wang
Progress of Theoretical Physics Vol. 125 No. 2 (2011) pp. 403-410 :
Gravitational Microlensing in Modified Gravity Theories

Hideki Asada
Progress of Theoretical Physics Vol. 126 No. 1 (2011) pp. 157-166 :
Perturbative Approach to the Gravitational Lensing by a Non-Spherically Distorted Compact Object

Amano Saijo and Masumi Kasai