Noether-Wald Charges in Critical Gravity

Abstract

Indexación: Scopus.Critical Gravity theory is defined by a particular combination of quadratic couplings in the curvature added on top of 4D Einstein-Hilbert action with negative cosmological constant. As the Lagrangian is given by a Weyl-squared term, the asymptotic form of the curvature is not modified. The coupling of the W eyl 2 term is such the massive scalar mode is eliminated and the massive spin-2 mode become massless, rendering the theory consistent around the critical point. In the present work, we construct the Noether-Wald charges for the action of Critical Gravity. Such construction makes manifest a defining property of this theory: both the energy and entropy for Einstein black holes vanish identically. © Published under licence by IOP Publishing Ltd.We thank G. Anastasiou, F. Díaz-Martínez and O. Miskovic for helpful discussions. This work was funded in part by FONDECYT Grant 1131075, CONICYT Grant DPI 2014-0115 and UNAB Grants DI-1336-16/RG. D.R.B was financially supported by Facultad de Ciencias Exactas, UNAB, to attend SOCHIFI 2016 Meeting.https://iopscience.iop.org/article/10.1088/1742-6596/1043/1/01202