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Registration Number

0219U100307, 0118U003837 , R & D reports

Title

Manifestations of dark energy and dark matter in the modifications of the standard cosmological model. Then second year of impiementation.

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Head

Shtаnov Yurii V., Доктор фізико-математичних наук

Registration Date

05-02-2019

Organization

Department for special training National academy of science of Ukraine at Kiev University

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 It has been shown that in a certain class of the chiral deformed theories of gravitation it is possible to avoid the classical cosmological singularities. It has been shown that the vacuum corrections generate naturally the couplings of electromagnetic field to the inflaton one. Generation of the electromagnetic fields during inflation in model with the broken conformal invariance in interaction with the inflaton scalar field has been studied; the self-consistent approach to description of the evolution of electromagentic field at the inflationary stage has been realized. The analytic expression describing the growth of cosmological perturbations in the multdimensional gravity on a brane in the quasistatic approximation has been obtained. Significance of the X-ray line with energy ~3.5keV as a possible dark matter decay line has been analyzed. The new semi-analytic method for study of the halo profile of light fermionic dark matter has been developed, within its framework the lower bound for the dark matter particles masses has been found. The analytic and numerical solutions of the Einstein equations with different potentials of a scalar field with the canonical kinetic term have been obtained in case of the spherically symmetric configurations; for them the distributions of circular orbits of test bodies have been analyzed. Possibility of the direct measurement of the Hubble parameter dependence on redshift using the dipole of luminosity distance has been estimated. Problem of the reconstruction of potential of the 2-field model of dark energy with classical and tachyonic kinetic terms has been analyzed.

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