gravitation theory,
theory of nonlinear integrable systems,
soliton theory,
Special Relativity,
General Relativity,
Einsteins and Einstein–Maxwell field equations,
exact solutions,
metric,
curvature,
horizons,
singularities,
gravitational waves,
black holes,
cosmological models.
General Relativity theory (mathematical methods in black hole physics, theory of gravitational waves, cosmology); theory of nonlinear integrable systems and its applications for investigation of nonlinear properties of strong gravitational fields and their interactions with various types of matter fields.
Biography
Graduated from Faculty of Mathematics and Mechanics of M. V. Lomonosov Moscow State University (MSU) in 1972 (department of hydromechanics). Ph.D. thesis in the area of mechanics of fluids, gas and plasma was defended at MSU in 1976. D.Sci. thesis in the area of mathematical physics was defended at Steklov Mathematical Institute of the Russian Academy of Sciences in 2000. A list of my publications contains more than 70 paper titles.
Main publications:
G. A. Alekseev, “Integrability of the symmetry reduced bosonic dynamics and soliton generating transformations
in the low energy heterotic string effective theory”, Phys. Rev. D, 80 (2009), 041901(R), 4 pp., arXiv: hep-th/0811.1358v1
G. A. Alekseev, “O parametrizatsii dannymi monodromii prostranstv lokalnykh reshenii integriruemykh reduktsii uravnenii Einshteina”, TMF, 143:2 (2005), 278–304; G. A. Alekseev, “Monodromy-data parameterization of spaces of local solutions of integrable reductions of Einsteinfield equations”, Theoret. and Math. Phys., 143:2 (2005), 720–740
G. A. Alekseev, “Gravitational solitons and monodromy transform approach to solution of integrable reductions of Einstein equations”, Physica D, 152 (2001), 97–103, arXiv: gr-qc/0001012
G. A. Alekseev and J. B. Griffiths, “Solving the characteristic initial value problem for colliding plane gravitational and electromagnetic waves”, Phys. Rev. Lett., 87:22 (2001), 221101, 4 pp., arXiv: gr-qc/0105029
G. A. Alekseev and A. A. Garcia, “Schwarzschild black hole immersed in a homogeneous electromagnetic field”, Phys. Rev. D, 53:4 (1996), 1853–1867
G. A. Alekseev, “Einstein–Maxwell equations: Solution-generating methods as “coordinate” transformations in the solution spaces”, Theoret. and Math. Phys., 211:3 (2022), 866–892
2.
G. A. Alekseev, V. A. Belinski, “Superposition of fields of two rotating charged masses in General Relativity and existence of equilibrium configurations”, Gen. Relativity Gravitation, 51:5 (2019), 68 , 20 pp., arXiv: 1905.05317
G. A. Alekseev, “Solution for “geodesic” motion of a Schwarzschild black hole along a magnetic field in $AdS^2\times S^2$ space-time”, Proceedings of the Fourteenth Marcel Grossman Meeting on General Relativity (University of Rome “La Sapienza” - Rome, Italy, 12–18 July, 2015), eds. Massimo Bianchi, Robert T Jantzen, Remo Ruffini, World Scientic, Singapore, 2017, 2560–2564
4.
G. A. Alekseev, “Collision of strong gravitational and electromagnetic waves in the expanding universe”, Phys. Rev. D, 93:6 (2016), 61501 , 6 pp., arXiv: 1511.03335v2
G. A. Alekseev, “Integrable and non-integrable structures in Einstein–Maxwell equations with Abelian isometry group $\mathcal G_2$”, Proc. Steklov Inst. Math., 295 (2016), 1–26
6.
G. Alekseev, “Travelling waves in expanding spatially homogeneous space–times”, Class. Quantum Grav., 32:7 (2015), 075009 , 18 pp.
G. A. Alekseev, “Influence of Electromagnetic Fields on the Evolution of Initially Homogeneous and Isotropic Universe”, Proc. Steklov Inst. Math., 281 (2013), 129–139
8.
G. A. Alekseev, “Monodromy transform and the integral equation method for solving the string gravity and supergravity equations in four and higher dimensions”, Phys. Rev. D, 88:2 (2013), 021503(R) , 6 pp., arXiv: 1205.6238v1
G. A. Alekseev, “Monodromy transform and integral equation method for solving symmetry reduced string gravity and supergravity equations”, Mezhdunarodnaya konferentsiya “20th International Conference on General Relativity and Gravitation”, GR20/Amaldi10 Abstract Book , D2 - Strings, branes and M-theory (7 – 13 iyulya 2013 g.,), Varshavskii Universitet, g. Varshava, Polsha, 2013, s. 230
10.
G. A. Alekseev and V. A. Belinski, “Soliton nature of equilibrium state of two charged masses in general relativity”, Second Galileo - Xu Guangqi meeting (Ventimiglia, Italy, July 12–18, 2010), Int. J. Mod. Phys. Conf. Ser., 12, 2012, 10–16 , arXiv: 1103.0582v1
G. A. Alekseev, “Thirty years of studies of integrable reductions of Einstein's field equations”, Proceedings of the Twelfth Marcel Grossmann Meeting on General Relativity. Part A: Plenary and Review talks (Paris, 12–18 July, 2009), eds. Thibault Damour, Robert T Jantzen and Remo Ruffini, World Scientific, Singapore, 2011, 645–666 , arXiv: 1011.3846v1
12.
G. A. Alekseev, “New soliton generating transformations in the bosonic sector of heterotic string effective theory”, Proceedings of the Twelfth Marcel Grossmann Meeting on General Relativity. Part C, Parallel Sessions (Paris, 12–18 July, 2009), eds. Thibault Damour, Robert T Jantzen and Remo Ruffini, World Scientific, Singapore, 2011, 1753–1755 , arXiv: 1011.3549v1
13.
G. A. Alekseev and V. A. Belinski, “On the equilibrium configuration of two Reissner-Nordstrom objects and repulsive gravity”, J. Korean Phys. Soc., 57:3 (2010), 571–577
14.
G. A. Alekseev, “Integrability of the symmetry reduced bosonic dynamics and soliton generating transformations in the low energy heterotic string effective theory”, Phys. Rev. D, 80:4 (2009), 041901 , 4 pp., arXiv: 0811.1358v2
G. Alekseev, V. Belinski, “Einstein-Maxwell solitons”, Cosmology and gravitation, XIII Brazilian School on Cosmology and Gravitation (XIII BSCG) (May 18, 2009), AIP Conf. Proc., 1132, 2009, 333–385
G. Alekseev, V. Belinski, “On the general theory for construction the static solutions for two charges in General Relativity”, 2008 APS April Meeting and HEDP/HEDLA Meeting (April 11–15, 2008), abstract #8HE.048, v. 8, American Physical Society, 2008
17.
V. Belinski, G. Alekseev, “Static equilibrium configuration of two charges in General Relativity”, 2008 APS April Meeting and HEDP/HEDLA Meeting (April 11–15, 2008), abstract #8HE.047, v. 8, American Physical Society, 2008
18.
G. A. Alekseev, V. A. Belinski, “Superposition of fields of two Reissner-Nordstrom sources”, Proceedings of the Eleventh Marcel Grossmann Meeting on General Relativity, Part A: Plenary and Review talks (Berlin, Germany, July 2007), eds. H. Kleinert, R. T. Jantzen, R. Ruffini, World Scientific, Singapore, 2008, 543–569
G. A. Alekseev, “Monodromy transform approach in the theory of integrable reductions of Einstein's field equations and some applications”, Proceedings of the Eleventh Marcel Grossmann Meeting on General Relativity, Part C: Parallel Sessions (Berlin, Germany, July 2007), World Scientific, Singapore, 2008, 2252–2255
20.
G. A. Alekseev, V. A. Belinski, “Schwarzschild black hole hovering in the field of a Reissner-Nordström naked singularity”, Nuovo Cimento Soc. Ital. Fis. B, 122:2 (2007), 231–236
21.
G. A. Alekseev, V. A. Belinski, “Equilibrium configurations of two charged masses in general relativity”, Phys. Rev. D, 76:2 (2007), 021501 , 4 pp.
G. A. Alekseev, “Integrability of Generalized (Matrix) Ernst Equations in String Theory”, Theoret. and Math. Phys., 144:2 (2005), 1065–1074
23.
G. A. Alekseev, “Monodromy-data parameterization of spaces of local solutions of integrable reductions of Einstein's field equations”, Theoret. and Math. Phys., 143:2 (2005), 720–740
24.
G. A. Alekseev, J. B. Griffiths, “Collision of plane gravitational and electromagnetic waves in a Minkowski background: solution of the characteristic initial value problem”, Classical Quantum Gravity, 21:23 (2004), 5623–5654
G. A. Alekseev, “Characteristic initial value problems for integrable hyperbolic reductions of Einstein's equations”, Nonlinear physics: theory and experiment, II (Gallipoli, 2002), World Sci. Publ., River Edge, NJ, 2003, 23–29
26.
G. A. Alekseev, J. B. Griffiths, “Solving the characteristic initial-value problem for colliding plane gravitational and electromagnetic waves”, Phys. Rev. Lett., 87:22 (2001), 221101 , 4 pp.
G. A. Alekseev, “Gravitational solitons and monodromy transform approach to solution of integrable reductions of Einstein equations”, Advances in nonlinear mathematics and science, Phys. D, 152/153 (2001), 97–103
G. A. Alekseev, “A New Integral Equation Form of Integrable Reductions of the Einstein Equations”, Theoret. and Math. Phys., 129:2 (2001), 1466–1483
29.
G. A. Alekseev, “Monodromy transform approach to solution of some field equations in general relativity and string theory”, Proceedings of the Workshop on Nonlinearity, Integrability and All That: Twenty Years after NEEDS '79 (Gallipoli, 1999), World Sci. Publ., River Edge, NJ, 2000, 12–18
G. A. Alekseev, J. B. Griffiths, “Infinite hierarchies of exact solutions of the Einstein and Einstein-Maxwell equations for interacting waves and inhomogeneous cosmologies”, Phys. Rev. Lett., 84:23 (2000), 5247–5250
G. A. Alekseev, “Monodromy transform approach to solution of the Ernst equations in General Relativity”, International European Conference on Gravitation: Journees Relativistes 99 (Weimar, Germany, 12–17 Sep 1999), Annalen der Physik (Leipzig), 9, 2000, SI-17–SI-20
32.
J. B. Griffiths, G. A. Alekseev, “Some unpolarized Gowdy cosmologies and noncolinear colliding plane wave spacetimes”, Internat. J. Modern Phys. D, 7:2 (1998), 237–247
G. A. Alekseev, J. B. Griffiths, “Exact solutions for gravitational waves with cylindrical, spherical and toroidal wavefronts”, Classical Quantum Gravity, 13:8 (1996), 2191–2209
G. A. Alekseev, J. B. Griffiths, “Propagation and interaction of gravitational waves in some expanding backgrounds”, Phys. Rev. D (3), 52:8 (1995), 4497–4502
G. A. Alekseev, “On the solution generating transformations: The induced transformations of the boundary data”, 14th International Conference on General Relativity and gravitation. Abstracts of Contributed Papers (Florence, Italy), University of Rome, 1995, A3–A4
39.
G. A. Alekseev, A. A. Garcia, “Soliton perturbation of electrovacuum space-times with nontrivial topology”, 14th International conference on General Relativity and gravitation. Abstracts of Contributed Papers (Florence, Italy, July 1995), University of Rome, 1995, A4–A5
40.
G. A. Alekseev, “Integrability of the boundary value problems for the Ernst equations”, Proceedings of the International Workshop “Nonlinear Evolution Equations and Dynamical Systems” (NEEDS-92) (Dubna, 1992), eds. V. Makhankov, I. Puzynin and O. Pashaev, World Scientific, Singapore, 1993, 5–10
41.
G. A. Alekseev, “Explicit form of the extended family of electrovacuum solutions with arbitrary number of parameters”, 13th International Conference on General Relativity and gravitation. Abstracts of Contributed Papers (Cordoba, Argentina, July 1992), eds. Pedro W. Lamberty and Omar E. Ortiz, Huerta Grande, Cordoba, Argentina, 1992, 3–4
42.
G. A. Aleksejev, “Isomonodromy deformations and integrability of electrovacuum Einstein-Maxwell field equations with isometries”, Solitons and applications (Dubna, 1989), World Sci. Publ., River Edge, NJ, 1990, 174–179
43.
G. A. Alekseev, “Tochnye resheniya dlya elektromagnitnykh i gravitatsionnykh voln ot dvizhuschikhsya istochnikov”, Gravitatsiya i volny, 65, Trudy Instituta fiziki AN Estonii, Tartu, 1989, 79–88
44.
G. A. Alekseev, “O golomorfnykh funktsiyakh, parametrizuyuschikh obschee reshenie elektrovakuumnykh uravnenii Einshteina–Maksvella s izometriyami”, Trudy Vtorogo vsesoyuznogo soveschaniya «Tochnye resheniya uravnenii gravitatsionnogo polya i ikh fizicheskaya interpretatsiya» (Tartu, yanvar 1988 g.), Izd-vo Universiteta g. Tartu, 1988, 6–9
45.
G. A. Alekseev, “Prilozheniya metoda izomonodromnykh deformatsii k integrirovaniyu uravnenii Einshteina–Maksvella s izometriyami”, Trudy VII Vsesoyuznoi konferentsii «Sovremennye teoreticheskie i eksperimentalnye problemy teorii otnositelnosti i gravitatsii» (Erevan, oktyabr 1988 g.), Erevanskii gos. un-t, 1988, 468–469
46.
G. A. Alekseev, “Exact solutions in the general theory of relativity”, Proc. Steklov Inst. Math., 176 (1988), 215–262
47.
G. A. Alekseev, “Isomonodromy deformation approach to the description of general solution of electrovac Einstein–Maxwell fields with isometries”, 11th International Conference on General Relativity and gravitation. Abstracts of Contributed Papers (Stockholm, Sweeden, 1986), v. 1, Stockholm University, Stockholm, 1986, 226
48.
G. A. Alekseev, “Twelve-parametric electrovacuum two-soliton solution – the external field of two interacting Kerr–Newman sources”, 11th Intern.Conference on General Relativity and gravitation, Abstracts of Contributed Papers (Stockholm, Sweeden, 1986), Stockholm University, Stockholm, 1986, 227
49.
G. A. Alekseev, “The method of the inverse problem of scattering and the singular integral equations for interacting massless fields”, Soviet Phys. Dokl., 30:7 (1985), 565–568
50.
G. A. Alekseev, “Soliton configurations of interacting massless fields”, Sov. Phys. Dokl., 28 (1983), 133–135
51.
G. A. Alekseev, “Method for generating exact nonsoliton solutions for electrovacuum gravitational fields”, Soviet Phys. Dokl., 28:1 (1983), 17–19
52.
G. A. Alekseev, “New results in the inverse scattering method for interacting fields in General Relativity”, 10th International conference on General Relativity and gravitation. Contributed Papers (Padova, 1983), eds. B. Bertotti et al., CNR, Rome, 1983, 183–184
53.
G. A. Alekseev, “On exact solutions for interacting gravitational and electromagnetic fields”, Macroscopic Theories of Matter and Fields: A Thermodynamic Approach, Mathematics and Mechanics Series, MIR Publishers, Moscow, 1983, 168–186
54.
G. A. Alekseev, V. P. Korobeinikov, V. V. Markov, V. I. Khripunov, K. B. Sherstnev, “Mathematical modeling and calculation of explosion effect in continuous media”, J. Appl. Mech. Tech. Phys., 24:6 (1983), 795–801
55.
G. A. Alekseev, “On soliton solutions of Einstein's equations in a vacuum”, Soviet Phys. Dokl., 26 (1981), 158
56.
G. A. Alekseev, “Elektromagnitno-gravitatsionnye solitony s ploskoi polyarizatsiei”, Gravitatsiya i elektromagnetizm, Izd-vo Belorusskogo gos. un-ta, Minsk, 1981, 63–68
57.
G. A. Alekseev, V. A. Belinskiĭ, “Static gravitational solitons”, Soviet Phys. JETP, 78:4 (1980), 655–662 (Russian)
58.
G. A. Alekseev, “Soliton configurations of Einstein–Maxwell fields”, 9th International Conference on General Relativity and Gravitation, Abstracts of Contributed Papers (Friedrich Schiller University, Jena, German Democratic Republic, July 1980), v. 1, FSU, Jena, DDR, 1980, 2–3
59.
G. A. Alekseev, “N-soliton solutions of Einstein–Maxwell equations”, JETP Lett., 32:4 (1980), 277–279
60.
G. A. Alekseev, V. I. Hlebnikov, “The Newman-Penrose formalism and its application in general relativity theory”, Soviet J. Particles and Nuclei, 9:5 (1978), 421–451
61.
G. A. Alekseev, N. R. Sibgatullin, “Rasprostranenie gravitatsionnykh i elektromagnitnykh voln v silnykh vneshnikh elektromagnitnykh polyakh”, Relyativistskaya astrofizika. Kosmologiya. Gravitatsionnyi eksperiment (Minsk, iyul 1976 g.), Institut Fiziki AN BSSR, Minsk, 1976, 8–9
62.
G. A. Alekseev, “Sinkhrotronnoe izluchenie ultrarelyativistskikh zaryazhennykh chastits na krugovykh orbitakh v pole zaryazhennoi vraschayuscheisya chernoi dyry”, Klassicheskaya i kvantovaya teoriya gravitatsii (Minsk, iyul 1976 g.), Institut Fiziki AN BSSR, Minsk, 1976, 144–145
63.
G. A. Alekseev, “The radiation of electromagnetic and gravitational waves emitted by a charged particle that moves in a Nordström-Reissner field”, Soviet Phys. Dokl., 1975, no. 2, 312–315
64.
N. R. Sibgatullin, G.A. Alekseev, “Wave fields outside a collapsing charged star”, Soviet Physics JETP, 40:4 (1974), 613–620 (1975)
65.
G.A. Alekseev, N. R. Sibgatullin, “Effect of interconvertibility of electromagnetic and gravitational waves in strong external electromagnetic fields and the propagation of waves in the field of a charged “black hole"”, J. Appl. Math. Mech., 38:6 (1974), 1063–1071 (1975)
66.
G. A. Alekseev, N. R. Sibgatullin, “O gravitatsionnykh volnakh v pole kollapsiruyuschei zvezdy”, Problemy teorii gravitatsii i elementarnykh chastits, 5, Atomizdat, 1974, 142–153
Proceedings
67.
G. A. Alekseev, “Dynamics of black holes in AdS2 x S2 spacetimes (Bertotti-Robinson universes)”, GR20/Amaldi10 Mezhdunarodnaya konferentsiya “20th International Conference on General Relativity and Gravitation”, Abstract Book, A1 - Exact solutions and their interpretation (7 – 13 iyulya 2013 g.,), Varshavskii Universitet, g. Varshava, Polsha, 2013, s. 6
68.
G. A. Alekseev, “Kerr and Kerr-Newman black holes in Mathematical General Relativity”, Mezhdunarodnaya konferentsiya “2013 yearly ICRANet Scientific Meeting on Relativistic Astrophysics on the Occasion of the 50th Anniversary of the Kerr solution of the Einstein’s equations”, List of talks with abstracts (2 – 17 iyunya 2013 g., g. Peskara - Rim, Italiya), Mezhdunarodnyi tsentr Relyativistskoi Astrofiziki (ICRANet), 2013, s.1http://www.icranet.org/index.php?option=com_content&task=view&id=726
Preprints
69.
G. A. Alekseev, V. I. Hlebnikov, Application of the Newman-Penrose formalism in general relativity theory, Preprint no. 79, Akad. Nauk SSSR Inst. Prikl. Mat., 1977 , 104 pp. (Russian)
70.
G. A. Alekseev, V. I. Hlebnikov, The Newman-Penrose formalism, and some general properties of gravitational fields, Preprint no. 66, Akad. Nauk SSSR Inst. Prikl. Mat., 1977 , 71 pp. (Russian)
ArXiv
71.
G.A. Alekseev, Solution generating methods as “coordinate” transformations in the solution spaces, 2020 , 41 pp., arXiv: 2012.13462v1
72.
G. A. Alekseev and V. A. Belinski, On the equilibrium state of two rotating charged masses in General Relativity, 2012 , 14 pp., arXiv: 1211.3964v1
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