### 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 Weyl^{2} 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.

Idioma original | English |
---|---|

Páginas (desde-hasta) | 302-307 |

Número de páginas | 6 |

Publicación | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volumen | 788 |

DOI | |

Estado | Published - 10 ene 2019 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*788*, 302-307. https://doi.org/10.1016/j.physletb.2018.11.021

}

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 788, pp. 302-307. https://doi.org/10.1016/j.physletb.2018.11.021

**Noether–Wald energy in Critical Gravity.** / Anastasiou, Giorgos; Olea, Rodrigo; Rivera-Betancour, David.

Resultado de la investigación: Article

TY - JOUR

T1 - Noether–Wald energy in Critical Gravity

AU - Anastasiou, Giorgos

AU - Olea, Rodrigo

AU - Rivera-Betancour, David

PY - 2019/1/10

Y1 - 2019/1/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85057434229&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2018.11.021

DO - 10.1016/j.physletb.2018.11.021

M3 - Article

VL - 788

SP - 302

EP - 307

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -