Time delay in galaxy gravitational lensing systems has been used to determine
the value of Hubble constant. As in other dynamical phenomena at the scale of
galaxy, dark matter is often invoked in gravitational lensing to account for
the "missing mass" (the apparent discrepancy between the dynamical mass and the
luminous mass). Alternatively, modified gravity can be used to explain the
discrepancy. In this paper we adopt the Tensor-Vector-Scalar gravity (TeVeS), a
relativistic version of MOdified Newtonian Dynamics (MOND), to study
gravitational lensing phenomena and derive the formulae needed to evaluate the
Hubble constant. We test our method on quasar lensing by elliptical galaxies in
the literature. We focus on double-image systems with time delay measurement.
Three candidates are suitable for our study: HE 2149-2745, FBQ J0951+2635 and
SBS 0909+532. The Hubble constant obtained is consistent with the value used in
fitting the CMB result in neutrino cosmological model.
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