Infinite slabs and other weird plane symmetric space-times with constant positive density

We present the exact solution of Einstein's equation corresponding to a static and plane symmetric distribution of matter with constant positive density located below z = 0. This solution depends essentially on two constants: the density ρ and a parameter κ. We show that this space-time finishe...

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Autor principal: Gamboa Saraví, Ricardo Enrique
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2009
Materias:
Ciencias Exactas
Física
Gravitation
Singularities
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/132664
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-132664
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Gravitation
Singularities
spellingShingle Ciencias Exactas
Física
Gravitation
Singularities
Gamboa Saraví, Ricardo Enrique
Infinite slabs and other weird plane symmetric space-times with constant positive density
topic_facet Ciencias Exactas
Física
Gravitation
Singularities
description We present the exact solution of Einstein's equation corresponding to a static and plane symmetric distribution of matter with constant positive density located below z = 0. This solution depends essentially on two constants: the density ρ and a parameter κ. We show that this space-time finishes down below at an inner singularity at finite depth. We match this solution to the vacuum one and compute the external gravitational field in terms of slab's parameters. Depending on the value of κ, these slabs can be attractive, repulsive or neutral. In the first case, the space-time also finishes up above at another singularity. In the other cases, they turn out to be semi-infinite and asymptotically flat when z → ∞. We also find solutions consisting of joining an attractive slab and a repulsive one, and two neutral ones. We also discuss how to assemble a "gravitational capacitor" by inserting a slice of vacuum between two such slabs.
format Articulo
Preprint
author Gamboa Saraví, Ricardo Enrique
author_facet Gamboa Saraví, Ricardo Enrique
author_sort Gamboa Saraví, Ricardo Enrique
title Infinite slabs and other weird plane symmetric space-times with constant positive density
title_short Infinite slabs and other weird plane symmetric space-times with constant positive density
title_full Infinite slabs and other weird plane symmetric space-times with constant positive density
title_fullStr Infinite slabs and other weird plane symmetric space-times with constant positive density
title_full_unstemmed Infinite slabs and other weird plane symmetric space-times with constant positive density
title_sort infinite slabs and other weird plane symmetric space-times with constant positive density
publishDate 2009
url http://sedici.unlp.edu.ar/handle/10915/132664
work_keys_str_mv AT gamboasaraviricardoenrique infiniteslabsandotherweirdplanesymmetricspacetimeswithconstantpositivedensity
bdutipo_str Repositorios
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