Статьи/Papers

• A. A. Sheykin, A. A. Grechko: “Lower-dimensional Regge-Teitelboim Gravity”, 2022; Grav. Cosm. 29, 39 (2023), arXiv:2211.05055, DOI: 10.1134/S0202289323010097.
• A. A. Sheykin: “Universal Constants as Manifestations of Relativity”, 2021; Found. Phys. 52, 34 (2022), arXiv:2103.13854, DOI: 10.1007/s10701-022-00552-2.
• A. A. Sheykin, M. V. Markov, S. A. Paston: “Global embedding of BTZ spacetime using generalized method of symmetric embeddings construction”, 2021; J. Math. Phys. 62, 102502 (2021); arXiv:2107.00752, DOI: 10.1063/5.0062060.
• A. A. Sheykin, S. N. Manida: “Universal constants and natural systems of units in a spacetime of arbitrary dimension”, 2020, Universe 2020, 6(10), 166; arXiv:2005.08196. DOI: 10.3390/universe6100166.
• A. A. Sheykin, M. V. Markov, Ya. A. Fedulov, S. A. Paston: “Explicit isometric embeddings of pseudo-Riemannian manifolds: ideas and applications”, 2020, J. Phys. Conf. Ser., Vol. 1697, 012077 (2020); arXiv:2004.05882. DOI: 10.1088/1742-6596/1697/1/012077.
• S. A. Paston, E. N. Semenova, A. A. Sheykin: “Canonical description for formulation of embedding gravity as a field theory in a flat spacetime”, 2020, Symmetry 2020, 12(5), 722; arXiv:2004.04481. DOI: 10.3390/sym12050722.
• A. A. Sheykin, D. P. Solovyev, V. V. Sukhanov, S. A. Paston: “Modifications of gravity via differential transformations of field variables”, 2020, Symmetry 2020, 12(2), 240; arXiv:2002.01745. DOI: 10.3390/sym12020240.
• A. A. Sheykin, M. V. Ioffe, S. N. Manida, S. A. Paston: “Polyakov-like approach to the modified gravity and other geometric theories”, 2019, International Journal of Geometric Methods in Modern Physics, 17(3), 2050037 (2020); arXiv:1912.12713. DOI: 10.1142/S0219887820500371.
• A. A. Sheykin, D. P. Solovyev, S. A. Paston: “Global embeddings of BTZ and Schwarzschild-AdS type black holes in a flat space”, 2019, Symmetry 2019, 11(7), 841; arXiv:1905.10869. DOI: 10.3390/sym11070841.
• N. V. Kharuk, S. N. Manida, S. A. Paston, A. A. Sheykin: “Modifying the theory of gravity by changing independent variables”, 2018, EPJ Web of Conferences 191, 07007 (2018); arXiv:1811.00831. DOI: 10.1051/epjconf/201819107007.
• S. A. Paston, A. A. Sheykin: “Embedding theory as new geometrical mimetic gravity”, 2018, European Physical Journal C 78 (2018) 989; arXiv:1806.10902. DOI: 10.1140/epjc/s10052-018-6474-9.
• D. A. Grad, S. A. Paston, A. A. Sheykin: “Definitions of energy for the description of gravity as the splitting theory”, 2018, D. A. Grad et al 2018 J. Phys.: Conf. Ser. 1038 012007; arXiv:1806.09653. DOI: 10.1088/1742-6596/1038/1/012007.
• N. V. Kharuk, S. A. Paston, A. A. Sheykin: “Description of gravity in the model with independent nonsymmetric connection”, 2018, EPJ Web of Conferences 158 (2017) 05011; arXiv:1803.05958. DOI: 10.1051/epjconf/201715805011.
• N. V. Kharuk, S. A. Paston, A. A. Sheykin: “Classical electromagnetic potential as a part of gravitational connection: ideas and history”, 2017, Gravitation and Cosmology 24:3 (2018) 209; arXiv:1709.02284. DOI: 10.1134/S0202289318030076.
• D. A. Grad, R. V. Ilin, S. A. Paston, A. A. Sheykin: “Gravitational energy in the framework of embedding and splitting theories”, 2017, International Journal of Modern Physics D, Vol. 26, No. 14 (2017) 1750188 (20 pages); arXiv:1707.01074. DOI: 10.1142/S0218271817501887.
• S. A. Paston, E. N. Semenova, V. A. Franke, A. A. Sheykin: “Algebra of Implicitly Defined Constraints for Gravity as the General Form of Embedding Theory”, 2017, Gravit. Cosmol. (2017) 23:1; arXiv:1705.07361. DOI: 10.1134/S0202289317010145.
• A. A. Sheykin, S. A. Paston: “Field-Theoretical Formulation of Regge-Teitelboim Gravity”, 2017, Physics of Atomic Nuclei, 2016, Vol. 79, No. 11-12, pp. 1494-1496; arXiv:1704.06883. DOI: 10.1134/S1063778816100124.
• A. A. Sheykin, S. A. Paston: “Classification of global minimal embeddings for nonrotating black holes”, 2015, Theor. Math. Phys. 185:1 (2015), 1547-1556; arXiv:1512.08280. DOI: 10.1007/s11232-015-0364-1.
• A. A. Sheykin, S. A. Paston: “Friedmann cosmology in Regge-Teitelboim gravity”, 2015; arXiv:1511.09268. DOI: 10.1142/S2010194516601289.
• A. A. Sheykin, S. A. Paston: “The approach to gravity as a theory of embedded surface”, 2014, AIP Conference Proceedings 1606, 400 (2014); arXiv:1402.1121. DOI: 10.1063/1.4891157.
• A. A. Sheykin, D. A. Grad, S. A. Paston: “Embeddings of the black holes in a flat space”, 2014, Proceedings of Science, PoS(QFTHEP 2013)091; arXiv:1401.7820. DOI: 10.22323/1.183.0091.
• S. A. Paston, A. A. Sheykin: “Embeddings for solutions of Einstein equations”, 2013, Theor. Math. Phys. 175(3), 2013, 808-817; arXiv:1306.4826, DOI: 10.1007/s11232-013-0067-4.
• S. A. Paston, A. A. Sheykin: “Global Embedding of the Reissner-Nordstr\"om Metric in the Flat Ambient Space”, 2013, SIGMA 10 (2014), 003, 10 pages; arXiv:1304.6550. DOI: 10.3842/SIGMA.2014.003.
• S. A. Paston, A. A. Sheykin: “Embeddings for Schwarzschild metric: classification and new results”, 2012, Class. Quantum Grav. 29 (2012) 095022; arXiv:1202.1204. DOI: 10.1088/0264-9381/29/9/095022.
• S. A. Paston, A. A. Sheykin: “From the Embedding Theory to General Relativity in a result of inflation”, 2011, Int. J. Mod. Phys. D 21, No. 5 (2012) 1250043; arXiv:1106.5212. DOI: 10.1142/S0218271812500435.