In this study, we present the phase-space analysis of Quintessence models specified by choice two potentials, namely Recliner potential and what call broken exponential-law potential, which is a new proposal. Using dynamical system provide systematic study cosmological evolution their properties. We find scaling solutions characterised constant ratio between energy density scalar field that mat...

We study the cosmological evolution for a scalar field dark matter model, by considering parameterization of equations that allow us to unify in single parameter family potentials: quadratic (free case), trigonometric (Axion-like and hyperbolic. After exploring dynamics this we perform statistical analysis viability such model comparison with standard Cold Dark Matter model. found free case is ...

In this work, we study the inflationary cosmology in modified gravity theory [Formula: see text] ([Formula: is parameter) with three distinct classes of inflation potentials (i) text], (ii) and (iii) where are potential parameters. We have derived Einstein equation, slow-roll parameters, scalar spectral index tensor-to-scalar ratio r tensor theory. obtain range using constraints parameter space...

We present a class of classically marginal N-vector models in d=4 and d=3 whose scalar potentials can be written as subdeterminants of symmetric matrices. The d=3 case can be thought of as a generalization of the scalar sector of the Bagger-Lambert-Gustavsson model. Using the Hubbard-Stratonovich transformation we calculate their effective potentials which exhibit intriguing large-N scaling beh...

We introduce a self-consistent stochastic coarse-graining method, which includes both metric and scalar field fluctuations, to investigate the back reaction of long wavelength perturbations in single-scalar driven inflation, up to the second (one loop) order. We demonstrate that, although back reaction cannot be significant during the last 70 e-foldings of inflation with a smooth potential, the...

A unified approach to quintessence and inflation is investigated with the use of a single scalar field. It is argued that successful potentials have to approximate a combination of exponential and inverse power-law decline in the limit of large values of the scalar field. A class of such potentials is studied analytically and it is found that quintessential inflation is indeed possible. Success...

Atomic nuclei exhibit approximate pseudospin symmetry. We review the arguments that this symmetry is a relativistic symmetry. The condition for this symmetry is that the sum of the vector and scalar potentials in the Dirac Hamiltonian is a constant. We give the generators of pseudospin symmetry. We review some of the predictions that follow from the insight that pseudospin symmetry has relativi...