34 citations · 79 across the 21 of their papers we have counts for
22 papers
Extrapolation of Hubble Curves
Alexander E. Pavlov
We present exact solutions to the Friedmann equation in coordinate time and conformal time in elliptic Legendre integrals. Both approaches describe the modern Hubble diagram with t…
Cycles of Time in Classical Cosmology
Alexander E. Pavlov
We present exact solutions to the Friedmann equation in standard cosmology in Weierstrass and Jacobi functions. The right hand side of the Friedmann equation describing various con…
EoS of Casimir vacuum of massive fields in Friedmann Universe
Alexander E. Pavlov
In the present paper we study equations of state of Casimir vacuum of massive scalar field and massive bispinor field in compact Friedmann Universe. With use of the Abel-Plana form…
Hamiltonian equations of reduced conformal geometrodynamics in extrinsic time
Alexander E. Pavlov
The reduced vacuum Hamiltonian equations of conformal geometrodynamics of compact manifolds in extrinsic time are written. This is achieved by generalizing the theorem of implicit…
Intrinsic Time in Geometrodynamics of Closed Manifolds
Andrej B. Arbuzov, Alexander E. Pavlov
The global time in Geometrodynamics is defined in a covariant under diffeomorphisms form. An arbitrary static background metric is taken in the tangent space. The global intrinsic…
Hidden symmetries in mixmaster-type universe
Alexander Pavlov
A model of multidimensional mixmaster-type vacuum universe is considered. It belongs to a class of pseudo-Euclidean chains characterized by root vectors. An algebraic approach of o…