Recurrence Metrics and Time Varying Light Cones

dc.creatorModgil, Moninder Singh
dc.date2005-12-01
dc.date.accessioned2026-07-07T06:53:54Z
dc.date.available2026-07-07T06:53:54Z
dc.descriptionIt is shown by explicit construction of new metrics, that General Relativity can solve the exact Poinc$\acute{a}$re recurrence problem. In these solutions, the light cone, flips periodically between past and future, due to a periodically alternating arrow of the proper time. The geodesics in these universes show periodic Loschmidt's velocity reversion $v \to -v$, at critical points, which leads to recurrence. However, the matter tensors of some of these solutions exhibit unusual properties - such as, periodic variations in density and pressure. While this is to be expected in periodic models, the physical basis for such a variation is not clear. Present paper therefore can be regarded as an extension of Tipler's "no go theorem for recurrence in an expanding universe", to other space-time geometries.
dc.identifierhttps://arxiv.org/abs/gr-qc/0512012
dc.identifierhttp://arxiv.org/abs/gr-qc/0512012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105756
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleRecurrence Metrics and Time Varying Light Cones
dc.typetext

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