Speciality:
01.01.03 (Mathematical physics)
E-mail: Website: https://www.mi.ras.ru/~alekseev Keywords: 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.
UDC: 517.958, 517.958:, 531-133, 53, [531.123.6+521.12+523.11]
MSC: 35Q58, 35Q72, 35Q75, 35Q35, 35Q51, 35Q15, 76A02, 37K15, 70H06, 58D30, 37N20, 83C05, 83C10, 83C15, 83C20, 83C22, 83C35, 83C50, 83C55, 83C57, 83C60, 83C99, 83F05
Subject:
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.
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