Existence of Bianchi type cosmological phantom universe with polytropic EoS parameter in Lyra's Geometry

Suryanarayana Kornu ; Rajamahanthi Santhikumar ; A. Lakshmana Rao ; M. Ramanamurty ; P. Sudheer Kumar ; K. Seetharam ; B. Divya

Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 32-40.

Résumé

This study explores the Bianchi type-V cosmological model with in the frame work of general relativity, featuring a perfect fluid governed by the polytropic equation in Lyra's Geometry, expressed $ p=\alpha \rho+k {\rho}^n $, as proposed at [1]. We considered the case representing phantom universe for $(1 + \alpha + k\rho^{n-1})\leqslant 0$, $ k 0 $, where $\rho$ increases with the radius $a(t)$. The role of Lyra;s Geometry has been discussed/ The solution to Einsteins field equation have been derived, providing insights into the physical and cosmological attributes of this particular model.

Détail

Keywords: accelerated expansion, polytropic equation of state, perfect fluid, phantom universe, Lyra's geometry.

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