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dc.contributor.author
Gamboa Saravi, Ricardo Enrique
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dc.date.available
2019-04-26T16:44:03Z
dc.date.issued
2012-07
dc.identifier.citation
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
dc.identifier.issn
0001-7701
dc.identifier.uri
http://hdl.handle.net/11336/75088
dc.description.abstract
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.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer/Plenum Publishers
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Gravitation
dc.subject
Higher-Dimensional Spacetimes
dc.subject
Singularities
dc.subject.classification
Astronomía
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dc.subject.classification
Ciencias Físicas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Higher-dimensional perfect fluids and empty singular boundaries
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-04-05T18:37:49Z
dc.journal.volume
44
dc.journal.number
7
dc.journal.pagination
1769-1786
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
New York
dc.description.fil
Fil: Gamboa Saravi, Ricardo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.journal.title
General Relativity And Gravitation
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10714-012-1366-z
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10714-012-1366-z
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