Abstract
We study the simplest version of a gauge gravitation theory in Riemann-Cartan space-time leading to the solution of the cosmological singularity problem and the dark energy problem. It is shown that this theory under certain restrictions on the indefinite parameters of the gravitational Lagrangian, in the case of usual gravitating systems, leads to Einstein gravitational equations with an effective cosmological constant.
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References
A. V. Minkevich, “Gauge gravitation theory in Riemann-Cartan space-time and gravitational interaction,” Grav. Cosmol. 22, 148 (2016).
A. V. Minkevich, “Towards the theory of regular accelerating Universe in Riemann-Cartan space-time,” Int. J. Mod. Phys. A 31, 1641011 (2016).
A. V. Minkevich, A. S. Garkun, and V. I. Kudin, “On some physical aspects of isotropic cosmology in Riemann-Cartan space-time,” JCAP 03, 040 (2013); arXiv: 1302.2578.
A. V. Minkevich, “Limiting energy density and a regular accelerating Universe in Riemann-Cartan spacetime,” JETP Lett. 94, 831 (2011).
A. V. Minkevich, “De Sitter space-time with torsion as physical space-time in the vacuum and isotropic cosmology,” Mod. Phys. Let. A 26, 259 (2011); arXiv: 1002.0538.
A. V. Minkevich, A. S. Garkun, and V. I. Kudin, “Regular accelerating universe without dark energy in Poincarégauge theory of gravity,” Class. Quantum Grav. 24, 5835 (2007); arXiv: 0706.1157.
K. Hayashi and T. Shirafuji, “Gravity from Poincarégauge theory of the fundamental particles. 1. Linear and quadratic Lagrangians,” Progr. Theor. Phys. 64, 866 (1980) [Erratum: 65, 2079 (1981)]
K. Hayashi and T. Shirafuji, “Gravity from PoincaréGauge theory of the fundamental particles. 2. Equations of motion for test bodies and various limits,” Progr. Theor. Phys. 64, 883 (1980) [Erratum: 65, 2079 (1981)]
K. Hayashi and T. Shirafuji, “Gravity from PoincaréGauge theory of the fundamental particles. 3. Weak field approximation,” Progr. Theor. Phys. 64, 1435 (1980) [Erratum: 66, 741 (1981)]
K. Hayashi and T. Shirafuji, “Gravity from PoincaréGauge theory of the fundamental particles. 4. Mass and energy of particle spectrum,” Progr. Theor. Phys. 64, 2222 (1980).
M. Blagojević, Gravitation and Gauge Symmetries (IOP Publishing, Bristol, 2002).
A. Trautman, “The Einstein-Cartan theory,” in Encyclopedia of Mathematical Physics, Vol. 2, Ed. by J.-P. Francoise et al. (Elsevier, Oxford, 2006), p. 189.
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Minkevich, A.V. Relationship of gauge gravitation theory in Riemann-Cartan space-time and general relativity. Gravit. Cosmol. 23, 311–315 (2017). https://doi.org/10.1134/S0202289317040144
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DOI: https://doi.org/10.1134/S0202289317040144