Birkhoff's theorem for three-dimensional AdS gravity

Eloy Ayón-Beato; Cristián Martínez; Jorge Zanelli

doi:10.1103/PhysRevD.70.044027

Birkhoff's theorem for three-dimensional AdS gravity

Eloy Ayón-Beato^*, Cristián Martínez, Jorge Zanelli

^*Autor correspondiente de este trabajo

Producción científica: Contribución a una revista › Artículo › revisión exhaustiva

31 Citas (Scopus)

Resumen

All three-dimensional matter-free space-times with negative cosmological constant, compatible with cyclic symmetry, are identified. The only cyclic solutions are the 2 + 1 (BTZ) black hole with SO(2)×R isometry, and the self-dual Coussaert-Henneaux space-times, with isometry groups SO(2)×SO(2,1) or SO(2) ×SO(2).

Idioma original	Inglés
Número de artículo	044027
Publicación	Physical Review D
Volumen	70
N.º	4 B
DOI	https://doi.org/10.1103/PhysRevD.70.044027
Estado	Publicada - 2004
Publicado de forma externa	Sí

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Física nuclear y de alta energía

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title = "Birkhoff's theorem for three-dimensional AdS gravity",

abstract = "All three-dimensional matter-free space-times with negative cosmological constant, compatible with cyclic symmetry, are identified. The only cyclic solutions are the 2 + 1 (BTZ) black hole with SO(2)×R isometry, and the self-dual Coussaert-Henneaux space-times, with isometry groups SO(2)×SO(2,1) or SO(2) ×SO(2).",

author = "Eloy Ay{\'o}n-Beato and Cristi{\'a}n Mart{\'i}nez and Jorge Zanelli",

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AB - All three-dimensional matter-free space-times with negative cosmological constant, compatible with cyclic symmetry, are identified. The only cyclic solutions are the 2 + 1 (BTZ) black hole with SO(2)×R isometry, and the self-dual Coussaert-Henneaux space-times, with isometry groups SO(2)×SO(2,1) or SO(2) ×SO(2).

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Birkhoff's theorem for three-dimensional AdS gravity

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