Anastasiou, G.Olea, R.Rivera-Betancour, D.2019-12-202019-12-202019-01Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 788, pp. 302-307.0370-2693DOI: 10.1016/j.physletb.2018.11.021http://repositorio.unab.cl/xmlui/handle/ria/11576Indexación: Scopus.We thank O. Miskovic for helpful discussions. G.A. is a Universidad Andres Bello (UNAB) Ph.D. Scholarship holder, and his work is supported by Dirección General de Investigación (DGI-UNAB). D.R.B. is a UNAB M.Sc. Scholarship holder. This work was funded in part by FONDECYT Grant No. 1170765 ; CONICYT Grant No. DPI 20140115 and UNAB Grant No. DI-1336-16/R .Criticality represents a specific point in the parameter space of a higher-derivative gravity theory, where the linearized field equations become degenerate. In 4D Critical Gravity, the Lagrangian contains a Weyl-squared term, which does not modify the asymptotic form of the curvature. The Weyl2 coupling is chosen such that it eliminates the massive scalar mode and it renders the massive spin-2 mode massless. In doing so, the theory turns consistent around the critical point. Here, we employ the Noether–Wald method to derive the conserved quantities for the action of Critical Gravity. It is manifest from this energy definition that, at the critical point, the mass is identically zero for Einstein spacetimes, what is a defining property of the theory. As the entropy is obtained from the Noether–Wald charges at the horizon, it is evident that it also vanishes for any Einstein black hole. © 2018 The Author(s)enBlack holesGravitationCardy formulaArtículo