; Meng, Xinhe] Nankai Univ, Dept Phys, Tianjin 300071, Peoples R China
; [Meng, Xinhe] Chinese Acad Sci, Kavli Inst Theoret Phys China, Beijing 100190, Peoples R China
In this work, we aim to show the possibilities of the variable speed of light (VSL) theory in explaining the type Ia supernovae (SNe) observations without introducing dark energy. The speed of light is assumed to be scale factor-dependent, which is the most popular assumption in VSL theory. We show the modified calculation of the distance modulus and the validity of the redshift-scale factor relation in VSL theory. Three different models of VSL are tested SNe data-sets with proper constraints on the model parameters. The comparison of the three models and flat ACDM in distance modulus is showed. Some basic problems and the difficulties of the confirmation of the VSL theory are also discussed.