Phase-Plane Analysis of FRW Cosmological Model with Variable in Lyra Geometry

The present work deals with the dynamical evolution of Friedmann-Robertson-Walker (FRW) Cosmologies with variable in Lyra geometry. We perform phase-plane analysis of the model with a time-dependent displacement vector, considering a variable , i.e., for model I and for model II. To analyze the evol...

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Bibliographic Details
Published inGravitation & cosmology Vol. 28; no. 2; pp. 166 - 174
Main Authors Raushan, Rakesh, Chaubey, R.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 2022
Springer Nature B.V
Subjects
Astronomical models
Astronomy
Astrophysics and Astroparticles
Classical and Quantum Gravitation
Cosmology
Critical point
Deceleration
Evolution
Observations and Techniques
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
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Summary:The present work deals with the dynamical evolution of Friedmann-Robertson-Walker (FRW) Cosmologies with variable in Lyra geometry. We perform phase-plane analysis of the model with a time-dependent displacement vector, considering a variable , i.e., for model I and for model II. To analyze the evolution equations, we introduce a suitable transformation of variables. The results are presented by curves in the phase-plane diagram. The nature of critical points is analyzed, and stable attractors are examined for both cosmological models. We determine the classical stability of these cosmologies. We also examine the transition of an early decelerated stage of the Universe to the present accelerated stage for both models.
ISSN:0202-2893
1995-0721
DOI:10.1134/S0202289322020128