Towards a Scale Invariant Theory of Gravity

<!--HTML-->I will discuss some of the recent results obtained in ghost free infinite derivative theory of gravity, which suggests towards scale invariant, conformally flat for static and rotating non-singular metric solutions at both linear and non-linear level. From quantum perspective such class of theory provides a new scale in the infrared which points towards transmutation of scales from ultraviolet to infrared. Based on these results I will discuss further conjectures that astrophysical blackholes can be mimicked by non local stars puffed up slightly larger than the horizon scale, such that information loss paradox can be ameliorated.