Universal Kounterterms in Lovelock AdS gravity
Georgios Kofinas, Rodrigo Olea
TL;DR
This paper introduces a universal boundary term for Lovelock AdS gravity that regularizes the action and conserved quantities, linking it to topological invariants and Chern-Simons forms across dimensions.
Contribution
It presents a universal Kounterterm series applicable to all Lovelock AdS gravities, unifying regularization methods and connecting to topological invariants.
Findings
Universal Kounterterm series derived for Lovelock AdS gravity
Regularizes Euclidean action and conserved charges universally
Links boundary terms to topological invariants and Chern-Simons forms
Abstract
We show the universal form of the boundary term (Kounterterm series) which regularizes the Euclidean action and background-independent definition of conserved quantities for any Lovelock gravity theory with AdS asymptotics (including Einstein-Hilbert and Einstein-Gauss-Bonnet). We discuss on the connection of this procedure to the existence of topological invariants and Chern-Simons forms in the corresponding dimensions.
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