Particles and Nuclei at high energies. Scientific Conference of the Section for Nuclear Physics of the Academy of Sciences (Russian title: Chastitsy i yadra pri vysokih energiah. Nauchnaya konferentsia otdelenia yadernoi fiziki AN SSSR, Nov 1, 1987
We studied the dimensional reduction of the 5-dimensional Schwarzschild-deSitter solution and fou... more We studied the dimensional reduction of the 5-dimensional Schwarzschild-deSitter solution and found that the Friedmann-Robertson-Walker cosmological model may be obtained by the dimensional reduction along the Killing vector in the T−-region of the 5-manifold. For the Appelquist-Chodos reduction, we observed the universal behavior of the scale factor near the 4-dimensional singularity and found a possibility of cosmological model construction with induced singularity like the Big Bang from non-singular 5-dimensional solution.
We investigated the possibility of the homogeneous and isotropic cosmological solution in Weyl ge... more We investigated the possibility of the homogeneous and isotropic cosmological solution in Weyl geometry, which differs from the Riemannian geometry by adding the so called Weyl vector. The Weyl gravity is obtained by constructing the gravitational Lagrangian both to be quadratic in curvatures and conformal invariant. It is found that such solution may exist provided there exists the direct interaction between the Weyl vector and the matter fields. Assuming the matter Lagrangian is that of the perfect fluid, we found how such an interaction can be implemented. Due to the existence of quadratic curvature terms and the direct interaction the perfect fluid particles may be created straight from the vacuum, and we found the expression for the rate of their production which appeared to be conformal invariant. In the case of creating the Universe ‘from nothing’ in the vacuum state, we investigated the problem, whether this vacuum may persist or not. It is shown that the vacuum may persist ...
. The black hole model with a self-gravitating charged spherical symmetric dust thin shell as a s... more . The black hole model with a self-gravitating charged spherical symmetric dust thin shell as a source is considered. The Schroedinger-type equation for such a model is derived. This equation appeared to be a finite differences equation. A theory of such an equation is developed and general solution is found and investigated in details. The discrete spectrum of the bound state energy levels is obtained. All the eigenvalues appeared to be infinitely degenerate. The ground state wave functions are evaluated explicitly. The quantum black hole states are selected and investigated. It is shown that the obtained black hole mass spectrum is compatible with the existence of Hawking's radiation in the limit of low temperatures both for large and nearly extreme Reissner-Nordstrom black holes. The above mentioned infinite degeneracy of the mass (energy) eigenvalues may appeared helpful in resolving the well known information paradox in the black hole physics. 1 I.Introduction. The fate of bla...
Particles and Nuclei at high energies. Scientific Conference of the Section for Nuclear Physics of the Academy of Sciences (Russian title: Chastitsy i yadra pri vysokih energiah. Nauchnaya konferentsia otdelenia yadernoi fiziki AN SSSR, Nov 1, 1987
We studied the dimensional reduction of the 5-dimensional Schwarzschild-deSitter solution and fou... more We studied the dimensional reduction of the 5-dimensional Schwarzschild-deSitter solution and found that the Friedmann-Robertson-Walker cosmological model may be obtained by the dimensional reduction along the Killing vector in the T−-region of the 5-manifold. For the Appelquist-Chodos reduction, we observed the universal behavior of the scale factor near the 4-dimensional singularity and found a possibility of cosmological model construction with induced singularity like the Big Bang from non-singular 5-dimensional solution.
We investigated the possibility of the homogeneous and isotropic cosmological solution in Weyl ge... more We investigated the possibility of the homogeneous and isotropic cosmological solution in Weyl geometry, which differs from the Riemannian geometry by adding the so called Weyl vector. The Weyl gravity is obtained by constructing the gravitational Lagrangian both to be quadratic in curvatures and conformal invariant. It is found that such solution may exist provided there exists the direct interaction between the Weyl vector and the matter fields. Assuming the matter Lagrangian is that of the perfect fluid, we found how such an interaction can be implemented. Due to the existence of quadratic curvature terms and the direct interaction the perfect fluid particles may be created straight from the vacuum, and we found the expression for the rate of their production which appeared to be conformal invariant. In the case of creating the Universe ‘from nothing’ in the vacuum state, we investigated the problem, whether this vacuum may persist or not. It is shown that the vacuum may persist ...
. The black hole model with a self-gravitating charged spherical symmetric dust thin shell as a s... more . The black hole model with a self-gravitating charged spherical symmetric dust thin shell as a source is considered. The Schroedinger-type equation for such a model is derived. This equation appeared to be a finite differences equation. A theory of such an equation is developed and general solution is found and investigated in details. The discrete spectrum of the bound state energy levels is obtained. All the eigenvalues appeared to be infinitely degenerate. The ground state wave functions are evaluated explicitly. The quantum black hole states are selected and investigated. It is shown that the obtained black hole mass spectrum is compatible with the existence of Hawking's radiation in the limit of low temperatures both for large and nearly extreme Reissner-Nordstrom black holes. The above mentioned infinite degeneracy of the mass (energy) eigenvalues may appeared helpful in resolving the well known information paradox in the black hole physics. 1 I.Introduction. The fate of bla...
Uploads
Papers by Victor Berezin