16 citations · 54 across the 11 of their papers we have counts for
9 papers · 1 filter
Scalar Product for a Version of Minisuperspace Model with Grassmann Variables
Sergey L. Cherkas, Vladimir L. Kalashnikov
Grassmann variables are used to formally transform a system with constraints into an unconstrained system. As a result, the Schrödinger equation arises instead of the Wheeler-DeWit…
Rotational Curves of the Milky Way Galaxy and Andromeda Galaxy in Light of Vacuum Polarization around Eicheon
Sergey L. Cherkas, Vladimir L. Kalashnikov
Eicheon properties are discussed. It is shown that the eicheon surface allows setting a boundary condition for the vacuum polarization and obtaining a solution describing the dark…
The equation of vacuum state and the structure formation in universe
S. L. Cherkas, V. L. Kalashnikov
The vacuum is considered as some fluid emergent from the zero-point fluctuations of the quantum fields contributing to the vacuum energy density and pressure. The equation of vacuu…
Matter creation and primordial CMB Spectrum in the inflationless Milne-like cosmologies
S. L. Cherkas, V. L. Kalashnikov
We present a new insight into the interpretation of the primordial spectrum of scalar particles density perturbations. On the assumption of spectrum universality, i.e., that the me…
Quantum mechanics allows setting initial conditions at a cosmological singularity: Gowdy model example
S. L. Cherkas, V. L. Kalashnikov
It is shown that the initial conditions in the quasi-Heisenberg quantization scheme can be set at the initial cosmological singularity per se. This possibility is provided by finit…
Solution of the discrete Wheeler-DeWitt equation in the vicinity of small scale factors and quantum mechanics in the space of negative constant curvature
S. L. Cherkas, V. L. Kalashnikov
The asymptotic of the solution of the discrete Wheeler-DeWitt equation is found in the vicinity of small scale factors. It is shown that this problem is equivalent to the solution…
Can the scale factor be rippled?
S. L. Cherkas, V. L. Kalashnikov
We address an issue: would the cosmological scale factor be a locally oscillating quantity? This problem is examined in the framework of two classical 1+1-dimensional models: the f…
Cosmological production of fermions in a flat Friedman universe with linearly growing scale factor: exactly solvable model
S. V. Anischenko, S. L. Cherkas, V. L. Kalashnikov
We consider an exactly solvable model for production of fermions in the Friedman flat universe with a scale factor linearly growing with time. Exact solution expressed through the…
Determination of the UV cut-off from the observed value of the Universe acceleration
S. L. Cherkas, V. L. Kalashnikov
It is shown that using of the equation of motion of the Universe scale factor allows calculation of the contribution of the vacuum fluctuations to the acceleration of the Universe…