A study on the expansion of the universe with Lyra geometry in a Bianchi type V space–time in the presence of dark energy

D. I. Mazumder^ab, G. Sarma<sup>a

a</sup> Department of Mathematics, University of Science and Technology Meghalaya, India
^b Center for Preparatory Studies, University of Technology and Applied Sciences – Ibri, Ibri, Sultanate of Oman

Abstract: In the presence of dark energy, Bianchi type V space–time and its cosmological model are examined in Lyra geometry. A hybrid nature of the scale factor $a=\sqrt[m]{t^ne^{\xi t}}$ and the power-law expansion $H=la^{-n}$ are analyzed to derive an exact solution characterizing a universe transitioning from an early decelerating stage to the present accelerating phase. The derived cosmological model is investigated under different admissible values of $n$. An equation that represents a special case of the Raychaudhuri equation for timelike geodesic is also established. Several geometrical and physical characteristics of the model are analyzed and illustrated with graphical representation.

Keywords: dark energy, hybrid model, Lyra geometry, cosmology, Bianchi type V space–time.

Received: 10.02.2025
Revised: 10.02.2025

DOI: 10.4213/tmf10933

 English version: Theoretical and Mathematical Physics, 2025, 223:3, 888–898

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