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A Finslerian Cosmological Metric and its Riemannian Kaluza-Klein Extension

Metin Arik·Dilek Ciftci
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Abstract

In this study a rotationally and translationally invariant metric in Finsler space is investigated. We choose to rewrite the metric in Riemanian space by increasing the dimension of space-time and introducing additional coordinates such that for specific values of these coordinates, the geodesics of the four dimensional Finslerian space-time and six dimensional Riemanian space-time are identical. Cosmological solutions described by this metric give rise to an equation of state corresponding to a space dominated by domain walls and an internal space dominated by strings.

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Metin Arik, Dilek Ciftci. 2002-09-20. A Finslerian Cosmological Metric and its Riemannian Kaluza-Klein Extension. https://arxiv.org/abs/gr-qc/0209069

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