Topological invariants and the definition of energy in quadratic gravity theory

David Rivera-Betancour; Gaston Giribet; Olivera Miskovic; Rodrigo Olea

Topological invariants and the definition of energy in quadratic gravity theory

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arxiv 2001.09459 v2 pith:ATKGW2YA submitted 2020-01-26 hep-th gr-qc

Topological invariants and the definition of energy in quadratic gravity theory

Gaston Giribet , Olivera Miskovic , Rodrigo Olea , David Rivera-Betancour This is my paper

classification hep-th gr-qc

keywords gravityactionasymptoticallyderivedenergytermstopologicaladded

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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.

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