Dynamical system analysis for scalar field potential in teleparallel gravity

Autor: S. A. Kadam, Ananya Sahu, S. K. Tripathy, B. Mishra
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: European Physical Journal C: Particles and Fields, Vol 84, Iss 10, Pp 1-13 (2024)
Druh dokumentu: article
ISSN: 1434-6052
DOI: 10.1140/epjc/s10052-024-13461-7
Popis: Abstract In this paper, we have presented a power law cosmological model and its dynamical system analysis in $$f(T,\phi )$$ f ( T , ϕ ) gravity, where T is the torsion scalar and $$\phi $$ ϕ is the canonical scalar field. The two well-motivated forms of the non-minimal coupling function $$F(\phi )$$ F ( ϕ ) , the exponential form and the power law form, with exponential scalar field potential, are investigated. The dynamical system analysis is performed by establishing the dimensionless dynamical variables, and the critical points were obtained. The evolution of standard density parameters is analysed for each case. The behaviour of the equation of state (EoS) and deceleration parameter agree with the result of recent cosmological observations. The model parameters are constrained using the existence and the stability conditions of the critical points describing different epochs of the evolution of the Universe.
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