The Minimally Coupled and Canonical Scalar Field Inflationary Cosmology with Negative Quadratic and Modified Higgs-like Potentials: A Symmetry Based Approach

Choudhuri, Amitava; Bairagi, Mithun

doi:10.1007/s10773-022-05146-2

Cited by 1 publication

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“…It has recently been used to solve a number of dynamical system equations of motion. According to studies [14,[45][46][47], the exact solutions derived by the Lie symmetry-based approach can satisfactorily describe the inflationary phase of the early universe. In particular, for the inflationary model based on a single scalar field, the broad applicability of Lie symmetries [14,[45][46][47][48][49] has suggested and inspired us to examine Lie symmetries and exact analytical solutions for the dynamical systems representing the dynamics of the model equation.…”

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confidence: 99%

Exact Bianchi type-I inflationary model with non-minimally coupled scalar field

Bairagi

2023

Phys. Scr.

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In the present work, we try to build up an inflationary model within the framework of Bianchi type-I spacetime using a non-minimally coupled, homogeneous, self-interacting canonical scalar field. Specifically, using the Lie symmetry method, we are able to find some novel exact solutions to the Einstein field equations by assuming a power-law relationship between the scalar field and average scale factor. These symmetry-based solutions have been used to derive the values of some important parameters of the anisotropic universe. In this anisotropic model, we find that the volume of space expands with time in an inflationary scenario, depicting the Universe's accelerating phases. An important characteristic of this model is that it initially represents anisotropic spacetime and then isotropizes the spacetime as time goes on, which favors recent cosmological observations.

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