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arxiv: 1404.5993 · v2 · pith:HQQUYYDLnew · submitted 2014-04-23 · ✦ hep-th · gr-qc

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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