72 citations · 469 across the 30 of their papers we have counts for
30 papers
A fresh view of cosmological models describing very early Universe: general solution of the dynamical equations
A. T. Filippov
The dynamics of any spherical cosmology with a scalar field (`scalaron') coupling to gravity is described by the nonlinear second-order differential equations for two metric functi…
On solving dynamical equations in general homogeneous isotropic cosmologies with scalaron
Alexandre T. Filippov
We study general dynamical equations describing homogeneous isotropic cosmologies coupled to a scalaron . For flat cosmologies (), we analyze in detail the gauge-independen…
Integrals of equations for cosmological and static reductions in generalized theories of gravity
A. T. Filippov
We consider the dilaton gravity models derived by reductions of generalized theories of gravity and study one-dimensional dynamical systems simultaneously describing cosmological a…
Dilaton-scalar models in context of generalized affine gravity theories: their properties and integrability
E. A. Davydov, A. T. Filippov
Nowadays it is widely accepted that the evolution of the universe was driven by some scalar degrees of freedom both on its early stage and at present. The corresponding cosmologica…
Unified description of cosmological and static solutions in affine generalized theories of gravity: vecton - scalaron duality and its applications
Alexandre T. Filippov
We briefly describe the simplest class of affine theories of gravity in multidimensional space-times with symmetric connections and their reductions to two-dimensional dilaton - ve…
General properties and some solutions of generalized Einstein - Eddington affine gravity I
A. T. Filippov
After a brief exposition of the simplest class of affine theories of gravity in multidimensional space-times with symmetric connections, we consider the spherical and cylindrical r…