Einstein gravity from Conformal Gravity in 6D

• DOI: 10.1007/jhep01(2021)134
• Publication Date: 2021-01-23T11:02:58Z
• Authors: Giorgos Anastasiou; Ignacio J. Araya; Rodrigo Olea
• Keywords: Conformal gravity; f(R) gravity

A bstract We extend Maldacena’s argument, namely, obtaining Einstein gravity from Conformal Gravity, to six dimensional manifolds. The proof relies on a particular combination of conformal (and topological) invariants, which makes manifest the fact that 6D Gravity admits an sector. Then, by taking generalized Neumann boundary conditions, action reduces renormalized Einstein-AdS action. These restrictions are implied vanishing traceless Ricci tensor, is defining property any spacetime. equivalence between and renders trivial solutions Critical at bicritical point.