In these lectures, I review the standard hot Big Bang cosmology, emphasizing its successes, its shortcomings, and its major challenges|developing a detailed understanding of the formation of structure in the universe and identifying the constituents of the ubiquitous dark matter. I then discuss the motivations for|and the fundamentals of|in ationary cosmology, particularly emphasizing the quant...

A new closed-form inflationary solution is given for a hyperbolic interaction potential. The method used to arrive at this solution is outlined as it appears possible to generate additional sets of equations which satisfy the model. In addition a new form of decaying cosmological constant is presented. PACS numbers: 98.80.Hw, 98.80.Bp, 04.60.+n

in recent years, information has become a major consideration in making financial decisions. in this paper there methods of project evaluation under inflationary conditions are descried and compared. the three methods are: i• gross profit per unit approach 2• current price each now 3• fixed price (real) cach flow in section ii of the paper different conditions under which all three approaches y...

t his paper investigates the asymmetric behavior of inflation. we use logistic smooth transition autoregressive (lstar) model to characterize the regime-switching behavior of iran’s monthly inflation during the period may 1990 to december 2013. we find that there is a triple relationship between the inflation level, its fluctuations and persistence. the findings imply that the behavior of infla...

We study the inflationary dynamics of the universe in the Randall-Sundrum typeII Braneworld model. We consider both an inverse-power law and exponential potentials and apply the Slow-Roll approximation in high energy limit to derive analytical expression of relevant inflationary quantities. An upper bound for the coupling constant was also obtained and a numerical value of perturbation spectrum...

Least fixpoints of monotone functions are an important concept in computer science which can be generalised to inflationary fixpoints of arbitrary functions. This raises questions after the expressive power of these two concepts, in particular whether the latter can be expressed as the former in certain circumstances. We show that the inflationary fixpoint of an arbitrary function on a lattice ...

This article discusses density perturbations in inflationary models, offering a pedagogical description of how these perturbations are generated by quantum fluctuations in the early universe. A key feature of inflation is that that rapid expansion can stretch microscopic fluctuations to cosmological proportions. I discuss also another important conseqence of quantum fluctuations: the fact that ...

These lecture notes 1 intend to form a short pedagogical introduction to inflationary cosmology, highlighting selected areas of recent progress such as reheating and the theory of cosmological perturbations. Problems of principle for inflationary cosmology are pointed out, and some new attempts at solving them are indicated, including a nonsingular Universe construction by means of higher deriv...

It has been shown that sub-Planckian models of inflation require initial homogeneity on super-Hubble scales under certain commonly held assumptions. Here I remark on the possible implications of this result for inflationary cosmology. The observed homogeneity of the universe on superhorizon scales can be explained if there was a period of accelerated expansion (inflation) in the early universe ...

We investigate the Lyth relationship between the tensor-scalar ratio, r, and the variation of the inflaton field, ∆φ, over the course of inflation. For inflationary models that produce at least 55 e-folds of inflation, there is a correlation between r and ∆φ as anticipated by Lyth, but the scatter around the relationship is huge. However, for inflationary models that satisfy current observation...