Topological invariants and the definition of energy in quadratic gravity theory

OLEA, RODRIGO; GIRIBET, GASTON; RIVERA-BETANCOUR, DAVID; MISKOVIC, OLIVERA

Physical Review D

APS

Año: 2020 vol. 101 p. 64046 - 64046

2470-0010

We provide a simple method to compute the energy in higher curvature gravity in asymptotically AdS spacetimes in even dimensions. It follows from the combined use of topological terms added to the gravity action, and the Wald charges derived from the augmented action functional. No additional boundary terms are needed. As a consistency check, we show that the formula for the conserved quantities derived in this way yields the correct result for the mass of asymptotically AdS black holes.