Higher-dimensional perfect fluids and empty singular boundaries

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...

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Autor principal: Gamboa Saraví, Ricardo Enrique
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2012
Materias:
Física
Ciencias Exactas
Gravitation
Higher-dimensional spacetimes
Singularities
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/96271
https://ri.conicet.gov.ar/11336/75088
https://link.springer.com/article/10.1007%2Fs10714-012-1366-z
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-96271
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Ciencias Exactas
Gravitation
Higher-dimensional spacetimes
Singularities
spellingShingle Física
Ciencias Exactas
Gravitation
Higher-dimensional spacetimes
Singularities
Gamboa Saraví, Ricardo Enrique
Higher-dimensional perfect fluids and empty singular boundaries
topic_facet Física
Ciencias Exactas
Gravitation
Higher-dimensional spacetimes
Singularities
description 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.
format Articulo
Preprint
author Gamboa Saraví, Ricardo Enrique
author_facet Gamboa Saraví, Ricardo Enrique
author_sort Gamboa Saraví, Ricardo Enrique
title Higher-dimensional perfect fluids and empty singular boundaries
title_short Higher-dimensional perfect fluids and empty singular boundaries
title_full Higher-dimensional perfect fluids and empty singular boundaries
title_fullStr Higher-dimensional perfect fluids and empty singular boundaries
title_full_unstemmed Higher-dimensional perfect fluids and empty singular boundaries
title_sort higher-dimensional perfect fluids and empty singular boundaries
publishDate 2012
url http://sedici.unlp.edu.ar/handle/10915/96271
https://ri.conicet.gov.ar/11336/75088
https://link.springer.com/article/10.1007%2Fs10714-012-1366-z
work_keys_str_mv AT gamboasaraviricardoenrique higherdimensionalperfectfluidsandemptysingularboundaries
bdutipo_str Repositorios
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