3 citations
- Moscow State Agroengineering University named after V.P. GoryachkinRU5 papers
- Joint Institute for Nuclear ResearchRU4 papers
- Dubna State UniversityRU2 papers
- Consejo Nacional de Investigaciones Científicas y TécnicasAR1 paper
- Institute for Theoretical and Experimental PhysicsRU1 paper
- Kurchatov InstituteRU1 paper
- Universitat de les Illes BalearsES1 paper
- VNU University of ScienceVN1 paper
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…
Von Neumann's Quantization of General Relativity
A. B. Arbuzov, A. Yu. Cherny, D. J. Cirilo-Lombardo +5
Von Neumann's procedure is applied for quantization of General Relativity. We quantize the initial data of dynamical variables at the Planck epoch, where the Hubble parameter coinc…
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…