Holographic Lovelock Gravities and Black Holes

Understand

We study holographic implications of Lovelock gravities in AdS spacetimes.

• For a generic Lovelock gravity in arbitrary spacetime dimensions we formulate the existence condition for asymptotically AdS black holes.
• We consider small fluctuations around these black holes and determine the constraint on Lovelock parameters by demanding causality of the boundary theory.
• For the case of cubic Lovelock gravity in seven spacetime dimensions we compute the holographic Weyl anomaly and determine the three point functions of the stress energy tensor in the boundary CFT.