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Katanaev Mikhail Orionovich
(recent publications)

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scientific publications

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

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

2020
8.	M. O. Katanaev, “Nonrelativistic Limit of the Bosonic String”, Proc. Steklov Inst. Math., 309 (2020), 183–193
9.	M. O. Katanaev, “The `t Hooft–Polyakov monopole in the geometric theory of defects”, Mod. Phys. Lett. B, 34:12 (2020), 2050126 (cited: 4) (cited: 5);
10.	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 (cited: 1);
11.	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 ;
12.	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] (cited: 3) (cited: 3);

2019
13.	M. O. Katanaev, “Gauge Parameterization of the $n$-Field”, Proc. Steklov Inst. Math., 306 (2019), 127–134 , arXiv: physics/2001.08110 (cited: 1) (cited: 1)
14.	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 (cited: 1)

2018
15.	M. O. Katanaev, “Chern–Simons Action and Disclinations”, Proc. Steklov Inst. Math., 301 (2018), 114–133 (cited: 5) (cited: 5)
16.	M. O. Katanaev, Lekts. Kursy NOC, 29, 2018, 3–364
17.	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 (cited: 3) (cited: 3)

2017
18.	M. O. Katanaev, “Cosmological models with homogeneous and isotropic spatial sections”, Theoret. and Math. Phys., 191:2 (2017), 661–668 (cited: 8) (cited: 8)
19.	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 (cited: 6) (cited: 6)
20.	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
21.	M. O. Katanaev, “Normal coordinates in affine geometry”, Lobachevskii Journal of Mathematics, 39:3 (2018), 464–476 (cited: 2) (cited: 2) (cited: 3)

2016
22.	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
23.	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 (cited: 4) (cited: 3)
24.	M. O. Katanaev, “Killing vector fields and a homogeneous isotropic universe”, Phys. Usp., 59:7 (2016), 689–700 , arXiv: gr-qc/1610.05628 (cited: 20) (cited: 11)

2015
25.	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.
26.	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.
27.	M. O. Katanaev, “Rotational elastic waves in double wall tube”, Phys. Lett. A, 379:24–25 (2015), 1544–1548 , arXiv: 1503.01759 (cited: 3) (cited: 3)
28.	M. O. Katanaev, “Lorentz Invariant Vacuum Solutions in General Relativity”, Proc. Steklov Inst. Math., 290 (2015), 138–142 , arXiv: physics/1602.06331 (cited: 12) (cited: 7)
29.	M. O. Katanaev, “On homogeneous and isotropic universe”, Mod. Phys. Lett. A, 30:34 (2015), 1550186 , 5 pp., arXiv: gr-qc/1511.00991 (cited: 1) (cited: 5) (cited: 5)

2014
30.	M. O. Katanaev, “Passing the Einstein–Rosen bridge”, Mod. Phys. Lett. A, 29:17 (2014), 1450090 , 7 pp., arXiv: 1310.7390 (cited: 2) (cited: 3)

2013
31.	M. O. Katanaev, “Point massive particle in general relativity”, Gen. Rel. Grav., 45:10 (2013), 1861–1875 , arXiv: 1207.3481 (cited: 9) (cited: 6) (cited: 11)

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

2011
34.	M. O. Katanaev, “Simple proof of the adiabatic theorem”, Vestn. Samar. Gos. Tekhn. Univ. Ser. Fiz.-Mat. Nauki, 1(22) (2011), 99–107
35.	M. O. Katanaev, “Adiabatic theorem for finite dimensional quantum mechanical systems”, Russian Phys. J., 2011, no. 3, 342–353 , arXiv: 0909.0370 (cited: 1) (cited: 3) (cited: 3) (cited: 2)
36.	M. O. Katanaev, “On geometric interpretation of the Aharonov–Bohm effect”, Russian Phys. J., 54:5 (2011), 507–514 (cited: 2) (cited: 1) (cited: 1) (cited: 2)

2012
37.	M. O. Katanaev, “On geometric interpretation of the Berry phase”, Russian Phys. J., 54:10 (2012), 1082–1092 , arXiv: 1212.1782 (cited: 2) (cited: 1) (cited: 1) (cited: 2)

2010
38.	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
39.	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 (cited: 2) (cited: 5)
40.	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.

Full list of publications