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arXiv · gr-qc/0512012

Recurrence Metrics and Time Varying Light Cones

Moninder Singh Modgil
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Abstract

It 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.

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Moninder Singh Modgil. 2005-12-01. Recurrence Metrics and Time Varying Light Cones. https://arxiv.org/abs/gr-qc/0512012

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