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Journal Nonlinear World №4 for 2015 г.
Article in number:
Anisotropic space dynamics
Authors:
D.E. Burlankov - Ph. D. (Phys.-Math.), Associate Professor, Lobachevsky State University of Nizhni Novgorod. E-mail: burlankov@nifti.unn.ru
Abstract:
One of the equations of Einstein\'s General Relativity right requires equality to zero of energy of any system. The exception this equation transforms the dynamics of space in a normal dynamic theory with non-zero Hamiltonian, open the way to the inclusion of gravity in the overall dynamics, including quantum. In this work, the Hamiltonian method describes the Dynamics of the anisotropic model Belinsky-Khalatnikov-Lifshitz. As the three va-riables are selected global scale (radius) and two of the anisotropy parameter. The Hamilton equations define the singular manifold: at zero radius zero momentum of the anisotropy parameters, but with arbitrary values of these parameters, having little influence on the dynamics of the radius. However, under compression when returning to a zero radius, momentum of anisotropy will not be returned to zero, and there arises giant oscillations detected Belinsky, Khalatnikov and Lifshitz. Existing smooth anisotropic solution in the expansion stage demonstrate the possibility of anisotropic Big Bang.
Pages: 12-16
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