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Classical and quantum gravity, cosmology,
quantum field theory.
Main results:
an integral formulation
of the Einstein equations, calculation of the gauge field
interaction constant in the Kaluza-Klein higher-dimensional
theory with R2 terms, showing possibility of inflation
without any special scalar field for models with nonlinear
dynamics of the Born-Infeld type, demonstrating of the phenomenon
of quantum repulsion from the mass shell in quantum theories with constraints,
in particular in the minisuperspace models of quantum gravity.
The current research interests
cover the quantum effective action method as a tool to
investigate peculiarities of the classical limit of quantum
theories with constrains, specifically that of quantum
cosmology.
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