Geodesic
Existence of Bianchi type cosmological phantom universe with polytropic EoS parameter in Lyra's Geometry
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 32-40

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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.
Keywords: accelerated expansion, polytropic equation of state, perfect fluid, phantom universe, Lyra's geometry. 
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     author = {Suryanarayana Kornu and Rajamahanthi Santhikumar and A. Lakshmana Rao and M. Ramanamurty and P. Sudheer Kumar and K. Seetharam and B. Divya},
     title = {Existence of {Bianchi} type cosmological phantom universe with polytropic {EoS} parameter in {Lyra's} {Geometry}},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
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Suryanarayana Kornu; Rajamahanthi Santhikumar; A. Lakshmana Rao; M. Ramanamurty; P. Sudheer Kumar; K. Seetharam; B. Divya. Existence of Bianchi type cosmological phantom universe with polytropic EoS parameter in Lyra's Geometry. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 18 (2025) no. 1, pp. 32-40. http://geodesic.mathdoc.fr/item/JSFU_2025_18_1_a3/