Noether–Wald energy in Critical Gravity
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Fecha
2019-01
Profesor/a Guía
Facultad/escuela
Idioma
en
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Editor
Elsevier B.V.
Nombre de Curso
Licencia CC
Licencia CC
Resumen
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)
Notas
Indexación: 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 .
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 .
Palabras clave
Black holes, Gravitation, Cardy formula
Citación
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 788, pp. 302-307.