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We show that it is possible to steer clear of a spacetime singularity duringgravitational collapse by considering the time-variation of a fundamentalcoupling, in this case, the fine structure constant {\alpha}. We study aspherical distribution of cold dark matter coexisting with other fluidelements, collapsing under its own gravity. Dark matter is written as a scalarfield interacting with electrically charged matter. This leads to a timevariation of {\alpha} and as a consequence, a breakdown of local chargeconservation within the sphere. The exterior has no such field and therefore,Einstein's GR and standard equivalence principles remain valid. We derive thelowest possible bound on the collapse of this sphere beyond which there is abounce and dispersal of most of the accumulated matter. We discuss the criticalbehavior of the system around this point and show that the bound is connectedto a length scale of the order of Planck, introduced in theory for dimensionalrequirements.

Can a variation of Fine Structure Constant influence the fate of Gravitational Collapse?