### Resumen

A new formula for the conserved charges in 3+1 gravity for spacetimes with local anti-de Sitter asymptotic geometry is proposed. It is shown that requiring the action to have an extremum for this class of asymptotia sets the boundary term that must be added to the Lagrangian as the Euler density with a fixed weight factor. The resulting action gives rise to the mass and angular momentum as Noether charges associated to the asymptotic Killing vectors without requiring specification of a reference background in order to have a convergent expression. A consequence of this definition is that any negative constant curvature spacetime has vanishing Noether charges. These results remain valid in the Λ = 0 limit.

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

Páginas (desde-hasta) | 1647-1650 |

Número de páginas | 4 |

Publicación | Physical Review Letters |

Volumen | 84 |

N.º | 8 |

DOI | |

Estado | Published - 1 ene 2000 |

### Huella dactilar

### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Citar esto

*Physical Review Letters*,

*84*(8), 1647-1650. https://doi.org/10.1103/PhysRevLett.84.1647

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*Physical Review Letters*, vol. 84, n.º 8, pp. 1647-1650. https://doi.org/10.1103/PhysRevLett.84.1647

**Conserved charges for gravity with locally anti-de sitter asymptotics.** / Aros, Rodrigo; Contreras, Mauricio; Olea, Rodrigo; Troncoso, Ricardo; Zanelli, Jorge.

Resultado de la investigación: Article

TY - JOUR

T1 - Conserved charges for gravity with locally anti-de sitter asymptotics

AU - Aros, Rodrigo

AU - Contreras, Mauricio

AU - Olea, Rodrigo

AU - Troncoso, Ricardo

AU - Zanelli, Jorge

PY - 2000/1/1

Y1 - 2000/1/1

N2 - A new formula for the conserved charges in 3+1 gravity for spacetimes with local anti-de Sitter asymptotic geometry is proposed. It is shown that requiring the action to have an extremum for this class of asymptotia sets the boundary term that must be added to the Lagrangian as the Euler density with a fixed weight factor. The resulting action gives rise to the mass and angular momentum as Noether charges associated to the asymptotic Killing vectors without requiring specification of a reference background in order to have a convergent expression. A consequence of this definition is that any negative constant curvature spacetime has vanishing Noether charges. These results remain valid in the Λ = 0 limit.

AB - A new formula for the conserved charges in 3+1 gravity for spacetimes with local anti-de Sitter asymptotic geometry is proposed. It is shown that requiring the action to have an extremum for this class of asymptotia sets the boundary term that must be added to the Lagrangian as the Euler density with a fixed weight factor. The resulting action gives rise to the mass and angular momentum as Noether charges associated to the asymptotic Killing vectors without requiring specification of a reference background in order to have a convergent expression. A consequence of this definition is that any negative constant curvature spacetime has vanishing Noether charges. These results remain valid in the Λ = 0 limit.

UR - http://www.scopus.com/inward/record.url?scp=0001469663&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.84.1647

DO - 10.1103/PhysRevLett.84.1647

M3 - Article

AN - SCOPUS:0001469663

VL - 84

SP - 1647

EP - 1650

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 8

ER -