Renormalized AdS action and Critical Gravity
classification
✦ hep-th
gr-qc
keywords
gravityactioncriticalrenormalizedtermweylappearscoincides
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It is shown that the renormalized action for AdS gravity in even spacetime dimensions is equivalent -on shell- to a polynomial of the Weyl tensor, whose first non-vanishing term is proportional to $Weyl^2$. Remarkably enough, the coupling of this last term coincides with the one that appears in Critical Gravity.
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