We construct a hybrid inflationary model associated with the superheavy scale MX ∼ 1016 GeV of supersymmetric grand unified theories in which the inflaton potential is provided entirely by canonical supergravity. We find that the spectrum of adiabatic density perturbations is characterized by a strongly varying spectral index which is considerably larger than unity. Moreover, the total number o...

The objective of this paper is to discuss the dynamical instability in the context of Newtonian and post Newtonian regimes. For this purpose, we consider non-viscous heat conducting charged isotropic fluid as a collapsing matter with cylindrical symmetry. Darmois junction conditions are formulated. The perturbation scheme is applied to investigate the influence of dissipation and electromagneti...

The universe is filled with nearly isotropic cosmic microwave background (CMB) radiation, which has a blackbody spectrum of temperature T ≈ 2.73K. In addition, there are tiny direction dependent deviations δT from the mean temperature, δT/T . 10−4. These CMB anisotropies result from small primordial perturbations. The initial conditions, deep in the radiation-dominated universe, can be a mixtur...

In this talk I summarize the topics addressed during the conference. We have discussed the most relevant cosmological observations of the last say 10 years and their implications for our understanding of the Universe. My finding throughout this meeting has been that it is amazing how our knowledge of cosmological parameters has improved during the last years. It comes as a surprise to many, tha...

We obtain an explicit representation for quasiradial γ-harmonic functions, which shows that these functions have essentially algebraic nature. In particular, we give a complete description of all γ which admit algebraic quasiradial solutions. Unlike the cases γ = ∞ and γ = 1, only finitely many algebraic solutions is shown to exist for any fixed |γ| > 1. Moreover, there is a special extremal se...

A relativistic bounce-averaged quasilinear diffusion equation is derived to describe stochastic particle transport associated with low-frequency electromagnetic fluctuations in a nonuniform magnetized plasma. Expressions for the relativistic quasilinear diffusion coefficients are calculated explicitly for magnetically-trapped particle distributions in axisymmetric magnetic geometry in terms of ...

We present evidence that solar structure changes with changes in solar activity. We find that the adiabatic index, Γ 1 , changes near the second helium ionization, i.e., at a depth of about 0.98R ⊙. We believe that this change is a result of the change in the effective equation of state caused by magnetic fields. Inversions should be able to detect the changes in Γ 1 if mode sets with reliable ...

The observation of non-classical correlations arising in two weakly coupled Bose–Einstein condensates was recently reported by Estève et al (2008 Nature 455 1216). In order to observe relative number fluctuations between the two condensates below the standard quantum limit, they utilized the process of ‘adiabatic passage’ to drive the system out of thermal equilibrium. They found that this redu...

In this paper we calculate and visualize the dynamics of an ensemble of electrons trapping in an electrostatic wave of slowly increasing amplitude, illustrating that, despite disordering of particles in angle during the trapping transition as they pass close to X-points, there is still an adiabatic invariant for the great majority of particles that allows the long-time distribution function to ...