Abstract:
Cosmological model of the Friedmann world filled by ideal liquid with the equation
of state p=Kρ is studied in the framework of explicit canonical quantization of gravitation
by the Arnowitt–Deser–Misner (ADM) method and in the framework of the
superspatial Dirac method. It is shown that the collapse does not take place in the
model (the Dirac method and the ADM method when the time is chosen out of matter
variables). If the time is chosen out of geometrical variables, the Friedmann Universe
can be in the eigen-state of the Hamiltonian with the energy eigen-values depending
on time. Physical interpretation of the results obtained is discussed.
Citation:
V. G. Lapchinskii, V. A. Rubakov, “Quantum gravitation: Quantization of the Friedmann model”, TMF, 33:3 (1977), 364–376; Theoret. and Math. Phys., 33:3 (1977), 1076–1084
\Bibitem{LapRub77}
\by V.~G.~Lapchinskii, V.~A.~Rubakov
\paper Quantum gravitation: Quantization of the Friedmann model
\jour TMF
\yr 1977
\vol 33
\issue 3
\pages 364--376
\mathnet{http://mi.mathnet.ru/tmf3443}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 33
\issue 3
\pages 1076--1084
\crossref{https://doi.org/10.1007/BF01036991}
Linking options:
https://www.mathnet.ru/eng/tmf3443
https://www.mathnet.ru/eng/tmf/v33/i3/p364
This publication is cited in the following 108 articles:
G. Oliveira-Neto, T. M. Abreu, “A noncommutative Bianchi I model with radiation”, Int. J. Mod. Phys. D, 33:07n08 (2024)
A. Oliveira Castro Júnior, G. Oliveira-Neto, G. A. Monerat, “Primordial dust universe in the Hořava–Lifshitz theory”, Mod. Phys. Lett. A, 39:23n24 (2024)
Roberto Casadio, Leonardo Chataignier, Alexander Yu. Kamenshchik, Francisco G. Pedro, Alessandro Tronconi, Giovanni Venturi, “Relaxation of first-class constraints and the quantization of gauge theories: From “matter without matter” to the reappearance of time in quantum gravity”, Annals of Physics, 470 (2024), 169783
G. A. Monerat, F. G. Alvarenga, G. Oliveira-Neto, E. V. Corrêa Silva, J. C. G. Tedesco, F. R. Manhães, “Quantum cosmological models in the Einstein-aether theory with radiation fluid”, Eur. Phys. J. Plus, 139:9 (2024)
A. Oliveira Castro Júnior, G. Oliveira-Neto, G. A. Monerat, “The initial moments of a Hořava-Lifshitz cosmological model”, Gen Relativ Gravit, 56:10 (2024)
Sergey L. Cherkas, Vladimir L. Kalashnikov, “Scalar Product for a Version of Minisuperspace Model with Grassmann Variables”, Universe, 9:12 (2023), 508
F. G. Alvarenga, L. A. M. Diniz, S. V. B. Gonçalves, G. A. Monerat, E. V. Corrêa Silva, “Observational constraints on the quantum Einstein-Aether model”, Eur. Phys. J. Plus, 138:11 (2023)
S. Jalalzadeh, “Resolution of challenging problems in quantum cosmology with electromagnetic radiation”, Physics Letters B, 833 (2022), 137285
Saumya Ghosh, Sunandan Gangopadhyay, Prasanta K. Panigrahi, “Noncommutative quantum cosmology with perfect fluid”, Mod. Phys. Lett. A, 37:02 (2022)
G. A. Monerat, O. Goldoni, F. G. Alvarenga, G. Oliveira-Neto, E. V. Corrêa Silva, “Quantum cosmological perfect fluid models in Einstein aether theory”, Eur. Phys. J. Plus, 137:10 (2022)
Narges Badri, Farhad Zamani, “A non-singular model universe emerging from scalar-metric cosmology with Chaplygin gas and perfect fluid”, Eur. Phys. J. Plus, 137:9 (2022)
F. G. Alvarenga, G. A. Monerat, O. Godoni, E. V. C. Silva, G. de O. Neto, Blucher Physics Proceedings, 2021, 134
G. Oliveira-Neto, L. Fazza Marcon, “Complete noncommutativity in a cosmological model with radiation”, Eur. Phys. J. Plus, 136:5 (2021)
S. M. M. Rasouli, S. Jalalzadeh, P. V. Moniz, “Broadening quantum cosmology with a fractional whirl”, Mod. Phys. Lett. A, 36:14 (2021), 2140005
V.E. Kuzmichev, V.V. Kuzmichev, “Comparative Analysis of Standard ΛCDM and ΛCS Models”, Ukr. J. Phys., 57:10 (2021), 1169
Alokananda Kar, Shouvik Sadhukhan, Surajit Chattopadhyay, “Energy conditions for inhomogeneous EOS and its thermodynamics analysis with the resolution on finite time future singularity problems”, Int. J. Geom. Methods Mod. Phys., 18:08 (2021), 2150131
G. A. Monerat, C. G. M. Santos, G. Oliveira-Neto, E. V. Corrêa Silva, L. G. Ferreira Filho, “The dynamics of the early universe in a model with radiation and a generalized Chaplygin gas”, Eur. Phys. J. Plus, 136:1 (2021)
S.S. De, Farook Rahaman, Nupur Paul, “The Finslerian quantum cosmology”, Can. J. Phys., 98:9 (2020), 862
Frion E., Almeida C.R., “Affine Quantization of the Brans-Dicke Theory: Smooth Bouncing and the Equivalence Between the Einstein and Jordan Frames”, Phys. Rev. D, 99:2 (2019), 023524
Saumya Ghosh, Sunandan Gangopadhyay, Prasanta K. Panigrahi, “Anisotropic quantum cosmology with minimally coupled scalar field”, Mod. Phys. Lett. A, 34:34 (2019), 1950283
Citation in format AMSBIB
Contact us: