Topological invariants and the definition of energy in quadratic gravity theory

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 bounda...

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Bibliographic Details
Published in:Physical review. D 2020-03, Vol.101 (6), p.1, Article 064046
Main Authors: Giribet, Gaston, Miskovic, Olivera, Olea, Rodrigo, Rivera-Betancour, David
Format: Article
Language:English
Subjects:
Asymptotic properties
General Relativity and Quantum Cosmology
Gravitation
High Energy Physics - Theory
Physics
Topology
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Summary: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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.101.064046