Counterterms, Kounterterms, and the variational problem in AdS gravity
Counterterms, Kounterterms, and the variational problem in AdS gravity
We show that the Kounterterms for pure AdS gravity in arbitrary even dimensions coincide with the boundary counterterms obtained through holographic renormalization if and only if the boundary Weyl tensor vanishes. In particular, the Kounterterms lead to a well posed variational problem for generic asymptotically locally AdS manifolds only in …