Artículo
Higher-dimensional perfect fluids and empty singular boundaries
Fecha de publicación:
07/2012
Editorial:
Springer/Plenum Publishers
Revista:
General Relativity And Gravitation
ISSN:
0001-7701
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
In order to find out whether empty singular boundaries can arise in higher dimensional Gravity, we study the solution of Einstein's equations consisting in a (N + 2)-dimensional static and hyperplane symmetric perfect fluid satisfying the equation of state ρ = ηp, being η an arbitrary constant and N ≥ 2. We show that this spacetime has some weird properties. In particular, in the case η > -1, it has an empty (without matter) repulsive singular boundary. We also study the behavior of geodesics and the Cauchy problem for the propagation of massless scalar field in this spacetime. For η > 1, we find that only vertical null geodesics touch the boundary and bounce, and all of them start and finish at z = ∞; whereas non-vertical null as well as all time-like ones are bounded between two planes determined by initial conditions. We obtain that the Cauchy problem for the propagation of a massless scalar field is well-posed and waves are completely reflected at the singularity, if we only demand the waves to have finite energy, although no boundary condition is required. © 2012 Springer Science+Business Media, LLC.
Palabras clave:
Gravitation
,
Higher-Dimensional Spacetimes
,
Singularities
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Identificadores
Colecciones
Articulos(IFLP)
Articulos de INST.DE FISICA LA PLATA
Articulos de INST.DE FISICA LA PLATA
Citación
Gamboa Saravi, Ricardo Enrique; Higher-dimensional perfect fluids and empty singular boundaries; Springer/Plenum Publishers; General Relativity And Gravitation; 44; 7; 7-2012; 1769-1786
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