Gravitational instabilities in Kerr spacetimes

In this paper we consider the possible existence of unstable axisymmetric modes in Kerr space times, resulting from exponentially growing solutions of the Teukolsky equation. We describe a transformation that casts the radial equation that results upon separation of variables in the Teukolsky equati...

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Detalles Bibliográficos
Autores principales:	Dotti, Gustavo, Gleiser, Reinaldo J., Ranea Sandoval, Ignacio Francisco, Vucetich, Héctor
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2008
Materias:	Ciencias Astronómicas Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity Classical general relativity Physics of black holes Gravitational waves
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/131538
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-131538
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Ciencias Astronómicas Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity Classical general relativity Physics of black holes Gravitational waves
spellingShingle	Ciencias Astronómicas Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity Classical general relativity Physics of black holes Gravitational waves Dotti, Gustavo Gleiser, Reinaldo J. Ranea Sandoval, Ignacio Francisco Vucetich, Héctor Gravitational instabilities in Kerr spacetimes
topic_facet	Ciencias Astronómicas Gravity in more than four dimensions, Kaluza-Klein theory, unified field theories; alternative theories of gravity Classical general relativity Physics of black holes Gravitational waves
description	In this paper we consider the possible existence of unstable axisymmetric modes in Kerr space times, resulting from exponentially growing solutions of the Teukolsky equation. We describe a transformation that casts the radial equation that results upon separation of variables in the Teukolsky equation, in the form of a Schr\"odinger equation, and combine the properties of the solutions of this equations with some recent results on the asymptotic behaviour of spin weighted spheroidal harmonics to prove the existence of an infinite family of unstable modes. Thus we prove that the stationary region beyond a Kerr black hole inner horizon is unstable under gravitational linear perturbations. We also prove that Kerr space-time with angular momentum larger than its square mass, which has a naked singularity, is unstable.
format	Articulo Articulo
author	Dotti, Gustavo Gleiser, Reinaldo J. Ranea Sandoval, Ignacio Francisco Vucetich, Héctor
author_facet	Dotti, Gustavo Gleiser, Reinaldo J. Ranea Sandoval, Ignacio Francisco Vucetich, Héctor
author_sort	Dotti, Gustavo
title	Gravitational instabilities in Kerr spacetimes
title_short	Gravitational instabilities in Kerr spacetimes
title_full	Gravitational instabilities in Kerr spacetimes
title_fullStr	Gravitational instabilities in Kerr spacetimes
title_full_unstemmed	Gravitational instabilities in Kerr spacetimes
title_sort	gravitational instabilities in kerr spacetimes
publishDate	2008
url	http://sedici.unlp.edu.ar/handle/10915/131538
work_keys_str_mv	AT dottigustavo gravitationalinstabilitiesinkerrspacetimes AT gleiserreinaldoj gravitationalinstabilitiesinkerrspacetimes AT raneasandovalignaciofrancisco gravitationalinstabilitiesinkerrspacetimes AT vucetichhector gravitationalinstabilitiesinkerrspacetimes
bdutipo_str	Repositorios
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Gravitational instabilities in Kerr spacetimes

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