An alternative well-posedness property and static spacetimes with naked singularities

In the first part of this paper, we show that the Cauchy problem for wave propagation in some static spacetimes presenting a singular time-like boundary is well posed, if we only demand the waves to have finite energy, although no boundary condition is required. This feature does not come from essen...

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Detalles Bibliográficos
Autores principales:	Gamboa Saraví, Ricardo Enrique, Sanmartino, Marcela, Tchamitchian, Philippe
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2010
Materias:	Física Fundamental problems and general formalism Singularities and cosmic censorship Initial value problem, existence and uniqueness of solutions
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/131375
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-131375
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Fundamental problems and general formalism Singularities and cosmic censorship Initial value problem, existence and uniqueness of solutions
spellingShingle	Física Fundamental problems and general formalism Singularities and cosmic censorship Initial value problem, existence and uniqueness of solutions Gamboa Saraví, Ricardo Enrique Sanmartino, Marcela Tchamitchian, Philippe An alternative well-posedness property and static spacetimes with naked singularities
topic_facet	Física Fundamental problems and general formalism Singularities and cosmic censorship Initial value problem, existence and uniqueness of solutions
description	In the first part of this paper, we show that the Cauchy problem for wave propagation in some static spacetimes presenting a singular time-like boundary is well posed, if we only demand the waves to have finite energy, although no boundary condition is required. This feature does not come from essential self-adjointness, which is false in these cases, but from a different phenomenon that we call the alternative well-posedness property, whose origin is due to the degeneracy of the metric components near the boundary. Beyond these examples, in the second part, we characterize the type of degeneracy which leads to this phenomenon.
format	Articulo Articulo
author	Gamboa Saraví, Ricardo Enrique Sanmartino, Marcela Tchamitchian, Philippe
author_facet	Gamboa Saraví, Ricardo Enrique Sanmartino, Marcela Tchamitchian, Philippe
author_sort	Gamboa Saraví, Ricardo Enrique
title	An alternative well-posedness property and static spacetimes with naked singularities
title_short	An alternative well-posedness property and static spacetimes with naked singularities
title_full	An alternative well-posedness property and static spacetimes with naked singularities
title_fullStr	An alternative well-posedness property and static spacetimes with naked singularities
title_full_unstemmed	An alternative well-posedness property and static spacetimes with naked singularities
title_sort	alternative well-posedness property and static spacetimes with naked singularities
publishDate	2010
url	http://sedici.unlp.edu.ar/handle/10915/131375
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An alternative well-posedness property and static spacetimes with naked singularities

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