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.One of the greatest jigsaws in the current physics research is to understand the starting point to general relativity. The Einstein-Hilbert action has been usually the initial core of gravitational theories, but an alternative idea was proposed by Eddington in Ref. [1], where the affine connection Γμαβ is the fundamental field. Stylishly, the two suggestions are equivalent by a factor of Λ. Moreover, Eddington proposal is incomplete because it doesn’t include a matter sector. At this point an alternative theory of gravity was proposed in Ref. [2] where the matter fields are introduced inside the gravitational action in a Palatini form

THE RISE OF A TENSOR INSTABILITY IN EDDINGTON-INSPIRED GRAVITY