Isoperimetric surfaces and area-angular momentum inequality in a rotating black hole in new massive gravity

We study the existence and stability of isoperimetric surfaces in a family of rotating black holes in new massive gravity. We show that the stability of such surfaces is determined by the sign of the hair parameter. We use the isoperimetric surfaces to find a geometric inequality between the area an...

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Detalhes bibliográficos
Autores: Aceña, Andrés Esteban, López, Ericson, Llerena, Mario
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/90544
Acesso em linha:http://hdl.handle.net/11336/90544
Access Level:acceso abierto
Palavra-chave:NEW MASSIVE GRAVITY
BLACK HOLE
GEOMETRIC INEQUALITIES
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descrição
Resumo:We study the existence and stability of isoperimetric surfaces in a family of rotating black holes in new massive gravity. We show that the stability of such surfaces is determined by the sign of the hair parameter. We use the isoperimetric surfaces to find a geometric inequality between the area and the angular momentum of the black hole, conjecturing geometric inequalities for more general black holes.