Conserved Charges for Gravity with Locally Antiā€“de Sitter Asymptotics

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Miniatura
Fecha
2000-02
Profesor/a GuĆ­a
Facultad/escuela
Idioma
en
TĆ­tulo de la revista
ISSN de la revista
TĆ­tulo del volumen
Editor
American Physical Society
Nombre de Curso
Licencia CC
Licencia CC
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 Ī› = 0 limit.
Notas
IndexaciĆ³n: Scopus
Palabras clave
Black Holes, Cosmological Constant, Supergravity
CitaciĆ³n
Physical Review Letters Volume 84, Issue 8, 2000, Pages 1647-1650
DOI
DOI: 10.1103/PhysRevLett.84.1647
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