3+2 Cosmology: unifying FRW metrics in the bulk

Show simple item record

dc.contributor.author Bona, C.
dc.contributor.author Bezares, M.
dc.contributor.author Pons-Rullan, B.
dc.contributor.author Viganò, D.
dc.date.accessioned 2020-05-12T07:40:16Z
dc.date.available 2020-05-12T07:40:16Z
dc.identifier.uri http://hdl.handle.net/11201/152307
dc.description.abstract [eng] The cosmological problem is considered in a five-dimensional (bulk) manifold with two time coordinates, obeying vacuum Einstein field equations. The evolution formalism is used there, in order to get a simple form of the resulting constraints. In the spatially flat case, this approach allows us to find out the general solution, which happens to consist in a single metric. All the embedded Friedmann-Robertson-Walker (FRW) metrics can be obtained from this "mother" metric ("M-metric") in the bulk, by projecting onto different four-dimensional hypersurfaces (branes). Having a time plane in the bulk allows us to devise the specific curve which will be kept as the physical time coordinate in the brane. This method is applied for identifying FRW regular solutions, evolving from the infinite past (no big bang), even with an asymptotic initial state with nonzero radius (emergent universes). Explicit counter-examples are provided, showing that not every spatially-flat FRW metric can actually be embedded in a 3+2 bulk manifold. This implies that the extension of the Campbell theorem to the general relativity case works only in its weaker form in this case, requiring as an extra assumption that the constraint equations hold at least in a single four-dimensional hypersurface.
dc.format application/pdf
dc.relation.isformatof Reproducció del document publicat a: https://doi.org/10.1103/PhysRevD.99.043530
dc.relation.ispartof Physical Review D, 2019, vol. 99, num. 4, p. 043530-1-043530-7
dc.subject.classification 53 - Física
dc.subject.other 53 - Physics
dc.title 3+2 Cosmology: unifying FRW metrics in the bulk
dc.type info:eu-repo/semantics/article
dc.type info:eu-repo/semantics/publishedVersion
dc.date.updated 2020-05-12T07:40:16Z
dc.rights.accessRights info:eu-repo/semantics/openAccess
dc.identifier.doi https://doi.org/10.1103/PhysRevD.99.043530

Files in this item

This item appears in the following Collection(s)

Show simple item record

Search Repository

Advanced Search


My Account