Prog. Theor. Phys. Vol. 104 No. 6 (2000) pp. 1317-1320
Do Relativistic Corrections Affect Microlensing Amplification?
1Faculty of Science and Technology, Hirosaki University,
Hirosaki 036-8561, Japan
2Max-Planck-Institut für Astrophysik,
D-85741 Garching, Germany
(Received August 21, 2000)
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.
DOI : 10.1143/PTP.104.1317
- B. Paczynski, Ann. Rev. Astron. Astrophys. 34 (1996), 419.
- R. Nishi, K. Ioka and Y. Kan-ya, Prog. Theor. Phys. Suppl. No. 133 (1999), 211[PTP].
B. Paczynski, Astrophys. J. 304 (1986), 1[CrossRef].
C. Alcock et al., Nature 365 (1993), 621[CrossRef].
E. Aubourg et al., Nature 365 (1993), 623[CrossRef].
- A. Udalski et al., Acta Astronomica 50 (2000), 1.
- Y. Muraki et al., Prog. Theor. Phys. Suppl. No. 133 (1999), 233[PTP].
R. Epstein and I. I. Shapiro, Phys. Rev. D22 (1980), 2947[APS].
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
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