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dc.contributor.authorSánchez Caja, Miguel 
dc.date.accessioned2024-05-07T10:59:37Z
dc.date.available2024-05-07T10:59:37Z
dc.date.issued2023-03-17
dc.identifier.citationMiguel Sánchez Caja, A class of cosmological models with spatially constant sign-changing curvature. Port. Math. 80 (2023), no. 3/4, pp. 291–313 [DOI 10.4171/PM/2099]es_ES
dc.identifier.urihttps://hdl.handle.net/10481/91499
dc.description.abstractWe construct globally hyperbolic spacetimes such that each slice {t=t0​} of the universal time t is a model space of constant curvature k(t0​) which may not only vary with t0​∈R but also change its sign. The metric is smooth and slightly different to FLRW spacetimes, namely, g=−dt2+dr2+Sk(t)2​(r)gSn−1​, where gSn−1​ is the metric of the standard sphere, Sk(t)​(r)=sin(k(t) ​r)/k(t) ​ when k(t)≥0 and Sk(t)​(r)=sinh(−k(t) ​r)/−k(t) ​ when k(t)≤0. In the open case, the t-slices are (non-compact) Cauchy hypersurfaces of curvature k(t)≤0, thus homeomorphic to Rn; a typical example is k(t)=−t2 (i.e., Sk(t)​(r)=sinh(tr)/t). In the closed case, k(t)>0 somewhere, a slight extension of the class shows how the topology of the t-slices changes. This makes at least one comoving observer to disappear in finite time t showing some similarities with an inflationary expansion. Anyway, the spacetime is foliated by Cauchy hypersurfaces homeomorphic to spheres, not all of them t-slices.es_ES
dc.description.sponsorshipA-FQM-494-UGR18 (Junta de Andalucía/ FEDER)es_ES
dc.description.sponsorshipPID2020-116126GB-I00 (MCIN/ AEI/10.13039/501100011033)es_ES
dc.description.sponsorshipIMAG/ María de Maeztu, CEX2020-001105-MCIN/ AEI/ 10.13039/ 501100011033es_ES
dc.language.isoenges_ES
dc.publisherEMS Presses_ES
dc.rightsAtribución 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subjectCosmological modelses_ES
dc.subjectSpace topology changees_ES
dc.subjectConstant curvaturees_ES
dc.titleA class of cosmological models with spatially constant sign-changing curvaturees_ES
dc.typejournal articlees_ES
dc.rights.accessRightsopen accesses_ES
dc.identifier.doi10.4171/PM/2099
dc.type.hasVersionVoRes_ES


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