| dc.description.abstract | Since Bekenstein’’s (2004) creation of his Tensor-Vector-Scalar theory (TeVeS),
the Modified Newtonian dynamics (MOND) paradigm
has been redeemed from the embarrassment of lacking a relativistic version.
One primary success of TeVeS is that it provides a
satisfactory explanation of gravitational lensing without invoking dark matter,
which could not be achieved by other MONDian theories.
Following Bekenstein’’s work, we investigate the phenomena of gravitational
lensing including deflection angles, lens equations and time delay.
We find that the deflection angle would maintain its value while the distance
of closest approach vary in the MOND regime. We also use
the deflection angle law to derive magnification and investigate microlensing light curves.
We find that the difference in the magnification of the two images in the point mass model
is not a constant such as that in GR. Besides, microlensing light
curves could deviate significantly from GR in the deep MOND regime.
Furthermore, the scalar field,
which enhances the deflection angle in T$e$V$e,$S, contributes
a negative effect on the potential time delay. Unfortunately this phenomenon is unmeasurable
in lensing systems where we can only observe the time delay between two images
for a given source. However, this kind of time delay (it is called measurable time
delay in this thesis) offers another
constraint
on the mass ratio of the dark matter and MOND scenarios, which in general differs from that
given by the deflection angle. In other words, for a lensing system, if two masses,
m_{gN} and m_{gM}, are mutually alternatives for the deflection angles in their own paradigm,
regarding the time delay they are in general exclusive. | en_US |