Are Type Ia supernova powerful tool to detect anisotropic expansion of the Universe

In this paper, we present a detailed analysis of the dark energy dipole using Union2, Pantheon and GRB dataset in Chameleon and Teleparallel dark energy models, in comparison with $$\Lambda $$CDM. Both models are extensively studied in recent years and our result shows that with Union2 and Pantheon data, the preferred direction of the anisotropy in both models are very close to each other as well as with those obtained in some studies for $$\Lambda $$CDM. However, when the models fitted with a combination of Union 2 and GRB, the statistical analysis slightly favors the Chameleon cosmology over Teleparallel gravity, with the maximum anisotropic direction of $$(l = 330^{+30}_{-28}$$, $$b = -15^{+23}_{-25})$$ in galactic coordinate system, comparable with $$\alpha $$-dipole result in Keck-VLT data and LCDM.