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Katanaev Mikhail Orionovich
(recent publications)

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2026
1.	M. O. Katanaev, A. V. Mark, “Elliptical, hyperbolic and parabolic dislocations”, Internat. J. Modern Phys. B, 40:5 (2026), 2650043, 21 pp.	1 ^[x]

2025
2.	D. E. Afanasev, M. O. Katanaev, “Reshenie Liuvillya v obschei teorii otnositelnosti i problema temnoi energii”, UDK 51+53, BBK 22, V Konferentsiya matematicheskikh tsentrov Rossii. Materialy dokladov (Krasnoyarsk, 11–16 avgusta 2025 g.), ISBN 978-5-6054684-0-0, eds. V. B. Bekezhanova, I. V. Stepanova, Institut vychislitelnogo modelirovaniya SO RAN, 2025, Krasnoyarsk, 2025, 291–296 https://kmc.sfu-kras.ru/conf2025/files/sbornik_2025.pdf
3.	D. E. Afanasev, M. O. Katanaev, “Geodesics and global properties of the Liouville solution in general relativity with a scalar field”, J. Cosmol. Astropart. Phys., 2025:8 (2025), 45, 29 pp., arXiv: 2410.03799	2 ^[x]
4.	D. E. Afanasev, M. O. Katanaev, “Liouville solution in General Relativity with a scalar field”, Phys. Lett. B, 864 (2025), 139439, 5 pp.	5 ^[x]
5.	D. E. Afanasev, M. O. Katanaev, “Was there a big bang for the universe with accelerated expansion?”, Phys. Part. Nucl. Lett., 22:6 (2025), 1306–1311

2024
6.	M. O. Katanaev, “Reply to Comments on the article 'M O Katanaev, Complete separation of variables in the geodesic Hamilton–Jacobi equation in four dimensions, Physica Scripta (2023), 98, 104001' by V V Obukhov, K E Osetrin, and A V Shapovalov”, Phys. Scr., 99:6 (2024), 067001, 2 pp.
7.	M. O. Katanaev, “Separation of variables in the Hamilton–Jacobi equation for geodesics in two and three dimensions”, Theoret. and Math. Phys., 218:2 (2024), 264–275
8.	M. O. Katanaev, A. V. Mark, “Ellipticheskie i giperbolicheskie dislokatsii”, Trudy Moskovskogo matematicheskogo obschestva, 85:2 (2024), 223–234

2023
9.	M. O. Katanaev, “'t Hooft–Polyakov monopoles and a general spherically symmetric solution of the Bogomolny equations”, Modern Phys. Lett. A, 38:16-17 (2023), 2350082, 8 pp.	1 ^[x]
10.	Mikhail O. Katanaev, Alexander V. Mark, “Combined Screw and Wedge Dislocations”, Universe, 9:12 (2023), 500, 14 pp.	4 ^[x]
11.	M. O. Katanaev, “Complete separation of variables in the geodesic Hamilton–Jacobi equation in four dimensions”, Phys. Scr., 98:10 (2023), 104001, 61 pp., arXiv: 2311.12907	8 ^[x]

2022
12.	M. O. Katanaev, “On spherically symmetric 't Hooft Polyakov monopoles”, Int. J. Mod. Phys. A, 37:20-21 (2022), 2243012, 14 pp.	1 ^[x]

2021
13.	M. O. Katanaev, “Disclinations in the Geometric Theory of Defects”, Proc. Steklov Inst. Math., 313 (2021), 78–98, arXiv: 2108.07177v1
14.	M. O. Katanaev, “Gravity with dynamical torsion”, Class. Quantum Grav., 38:1 (2021), 015014, 10 pp.	3 ^[x]
15.	M. O. Katanaev, “On the existence of the global conformal gauge in string theory”, Eur. Phys. J. C, Part. Fields, 81 (2021), 581, 10 pp., arXiv: 1912.08052
16.	M. O. Katanaev, “Global conformal gauge in string theory”, Phys. Lett. B, 816 (2021), 136246, 5 pp., arXiv: 2106.05839	1 ^[x]
17.	Mikhail O. Katanaev, “Spin distribution for the ’t Hooft–Polyakov monopole in the geometric theory of defects”, Universe, 7:8 (2021), 256, 7 pp.	4 ^[x]
18.	M. O. Katanaev, “Spherically symmetric 't Hooft–Polyakov monopoles”, Eur. Phys. J. C, Part. Fields, 81 (2021), 825, 4 pp.	2 ^[x]

2020
19.	M. O. Katanaev, “Nonrelativistic Limit of the Bosonic String”, Proc. Steklov Inst. Math., 309 (2020), 183–193
20.	M. O. Katanaev, “The `t Hooft–Polyakov monopole in the geometric theory of defects”, Mod. Phys. Lett. B, 34:12 (2020), 2050126	8 ^[x]
21.	D. E. Afanasev, M. O. Katanaev, “Global properties of warped solutions in general relativity with an electromagnetic field and a cosmological constant. II”, Phys. Rev. D, 101:12 (2020), 124025, 20 pp., arXiv: 2006.09209	3 ^[x]
22.	D. E. Afanasev, M. O. Katanaev, “On global properties of warped solutions in General Relativity with an electromagnetic field and a cosmological constant”, Proc. of Sci., 376 (2020), 1–14
23.	M. O. Katanaev, B. O. Volkov, “Point disclinations in the Chern–Simons geometric theory of defects”, Mod. Phys. Lett. B, 34:1 (2020), 2150012, 14 pp. arXiv:1908.08473v1 [math-ph]	7 ^[x]

2019
24.	Matematicheskaya fizika i prilozheniya, Sbornik statei. K 95-letiyu so dnya rozhdeniya akademika Vasiliya Sergeevicha Vladimirova, Trudy MIAN, 306, ed. I. V. Volovich, M. O. Katanaev, MIAN, M., 2019, 352 pp.
25.	M. O. Katanaev, “Gauge Parameterization of the $n$-Field”, Proc. Steklov Inst. Math., 306 (2019), 127–134, arXiv: physics/2001.08110
26.	D. E. Afanasev, M. O. Katanaev, “Global properties of warped solutions in general relativity with an electromagnetic field and a cosmological constant”, Phys. Rev. D, 100:2 (2019), 024052, 16 pp., arXiv: 1904.04648	4 ^[x]

2018
27.	M. O. Katanaev, “Chern–Simons Action and Disclinations”, Proc. Steklov Inst. Math., 301 (2018), 114–133
28.	Kompleksnyi analiz, matematicheskaya fizika i prilozheniya, Sbornik statei, Trudy MIAN, 301, ed. A. I. Aptekarev, M. O. Katanaev, S. P. Suetin, MAIK «Nauka/Interperiodika», M., 2018, 335 pp.
29.	M. O. Katanaev, Lekts. Kursy NOC, 29, 2018, 3–364
30.	M. O. Katanaev, “Description of Disclinations and Dislocations by the Chern–Simons Action for $SO(3)$-Connection”, Phys. Part. Nucl., 49:5 (2018), 890–893

2017
31.	M. O. Katanaev, “Cosmological models with homogeneous and isotropic spatial sections”, Theoret. and Math. Phys., 191:2 (2017), 661–668
32.	M. O. Katanaev, “Chern–Simons term in the geometric theory of defects”, Phys. Rev. D, 96 (2017), 84054, 8 pp., arXiv: math-ph/1705.07888	8 ^[x]
33.	M. O. Katanaev, “Mathematical foundations of general relativity. Part 1”, Mathematical foundations of general relativity. Part 1, Lekts. Kursy NOC, 28, Steklov Math. Institute of RAS, Moscow, 2017, 3–312

2018
34.	M. O. Katanaev, “Normal coordinates in affine geometry”, Lobachevskii Journal of Mathematics, 39:3 (2018), 464–476

2016
35.	M. O. Katanaev, Geometrical methods in mathematical physics, Manuscript in Russian. Extended version of lectures delivered at the Academic Educational Center at Steklov Mathematical Institute during seven semesters, 2016, xvi+1570 pp., arXiv: 1311.0733v3
36.	M. O. Katanaev, “Rotational elastic waves in a cylindrical waveguide with wedge dislocation”, J. Phys. A, 49:8 (2016), 85202, 8 pp., arXiv: cond-mat/1502.07935	4 ^[x]
37.	M. O. Katanaev, “Killing vector fields and a homogeneous isotropic universe”, Phys. Usp., 59:7 (2016), 689–700, arXiv: gr-qc/1610.05628

2015
38.	M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 2, Lekts. Kursy NOC, 26, Steklov Math. Institute of RAS, Moscow, 2015, 186 pp.
39.	M. O. Katanaev, Geometrical methods in mathematical physics. Applications in quantum mechanics. Part 1, Lekts. Kursy NOC, 25, Steklov Math. Institute of RAS, Moscow, 2015, 176 pp.
40.	M. O. Katanaev, “Rotational elastic waves in double wall tube”, Phys. Lett. A, 379:24–25 (2015), 1544–1548, arXiv: 1503.01759	3 ^[x]
41.	M. O. Katanaev, “Lorentz Invariant Vacuum Solutions in General Relativity”, Proc. Steklov Inst. Math., 290 (2015), 138–142, arXiv: physics/1602.06331
42.	M. O. Katanaev, “On homogeneous and isotropic universe”, Mod. Phys. Lett. A, 30:34 (2015), 1550186, 5 pp., arXiv: gr-qc/1511.00991	6 ^[x]

2014
43.	M. O. Katanaev, “Passing the Einstein–Rosen bridge”, Mod. Phys. Lett. A, 29:17 (2014), 1450090, 7 pp., arXiv: 1310.7390	5 ^[x]

2013
44.	M. O. Katanaev, “Point massive particle in general relativity”, Gen. Rel. Grav., 45:10 (2013), 1861–1875, arXiv: 1207.3481	16 ^[x]

2012
45.	M. O. Katanaev, I. G. Mannanov, “Wedge dislocations, three-dimensional gravity, and the Riemann–Hilbert problem”, Phys. Part. Nucl., 43 (2012), 639–643
46.	M. O. Katanaev, I. G. Mannanov, “Wedge dislocations and three-dimensional gravity”, p-Adic Numb. Ultramet. Anal. Appl., 4:1 (2012), 5–19	1 ^[x]

2011
47.	M. O. Katanaev, “Simple proof of the adiabatic theorem”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 99–107
48.	M. O. Katanaev, “Adiabatic theorem for finite dimensional quantum mechanical systems”, Russian Phys. J., 2011, no. 3, 342–353, arXiv: 0909.0370
49.	M. O. Katanaev, “On geometric interpretation of the Aharonov–Bohm effect”, Russian Phys. J., 54:5 (2011), 507–514

2012
50.	M. O. Katanaev, “On geometric interpretation of the Berry phase”, Russian Phys. J., 54:10 (2012), 1082–1092, arXiv: 1212.1782

2010
51.	M. O. Katanaev, “Global solutions in gravity. Euclidean signature”, Fundamental interactions, eds. D. Grumiller, A. Rebhan, D. Vassilevich, World Sci. Publ., Hackensack, NJ, 2010, 249–266, arXiv: 0808.1559
52.	G. de Berredo-Peixoto, M. O. Katanaev, E. Konstantinova, I. Shapiro, “Schrodinger equation in the space with cylindrical geometric defect and possible application to multi-wall nanotubes”, Nuovo Cimento, B125 (2010), 915–931, arXiv: 1010.2913
53.	M. O. Katanaev, “Torsion and Burgers vector of a tube dislocation”, 10th Hellenic School and Workshops on Elementary Particle Physics and Gravity (Corfu, Greece, 8–12 Sep 2010), PoS CNCFG, 2010, 022, 7 pp.

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