Exact solutions of Friedmann equations; brane theory; Darboux transformation in the theory of multidimensional integrable systems; supersymmetry quantum mechanics.
Main publications:
A. V. Yurov, “Brane-like singularities with no brane”, Physics Letters B, 2010, no. 689, 1–7
A. V. Yurov, A. V. Astashenok, “Metod linearizatsii i novye tochnye resheniya v kosmologii”, Teoreticheskaya i matematicheskaya fizika, 158:2 (2009), 312–320
A. V. Yurov, A. V. Astashenok, P. F. Gonzalez-Diaz, “Astronomical bound on a future big freeze singularity”, Gravitation and Cosmology, 14:3 (2008), 205–212
A. V. Yurov, P. M. Moruno, P. F. Gonzalez-Diaz, “New “Bigs” in cosmology”, Nucl. Phys. B, 759 (2006), 320–341
A. V. Yurov, V. A. Yurov, “The nonsingular brane solutions via the Darboux transformation”, Phys. Rev. D, 72 (2005), 026003
