3 citations
6 papers
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…
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…
Static Casimir Condensate of Conformal Scalar Field in Friedmann Universe
Andrej B. Arbuzov, Alexander E. Pavlov
The quantum Casimir condensate of a conformal massive scalar field in a compact Friedmann universe is considered in the static approximation. The Abel-Plana formula is used for ren…
Intrinsic time in Friedmann-Robertson-Walker universe
Alexander Pavlov
A global intrinsic time in Friedmann - Robertson - Walker models is proportional to a scaling factor of the spatial metric. The aim of the paper is to study an applicability of the…
Mixmaster model is associated to Borcherds algebra
Alexander E. Pavlov
The problem of integrability of the mixmaster model as a dynamical system with finite degrees of freedom is investigated. The model belongs to the class of pseudo-Euclidean general…