141 citations · 501 across the 57 of their papers we have counts for
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The cosmological constant as an eigenvalue of a Sturm-Liouville problem
Artyom V. Yurov, Artyom V. Astashenok, E. Elizalde
It is observed that one of Einstein-Friedmann's equations has formally the aspect of a Sturm-Liouville problem, and that the cosmological constant, , plays thereby the role of s…
The Big Trip and Wheeler-DeWitt equation
Artyom V. Yurov, Artyom V. Astashenok, Valerian A. Yurov
Of all the possible ways to describe the behavior of the universe that has undergone a big trip the Wheeler-DeWitt equation should be the most accurate -- provided, of course, that…
Equation-of-state formalism for dark energy models on the brane and the future of brane universes
Artyom V. Astashenok, Emilio Elizalde, Sergei D. Odintsov +1
Brane dark energy cosmologies, leading to various possible evolutions of our universe, are investigated. The discussion shows that while all these models can be made arbitrarily cl…
Phantom Cosmology without Big Rip Singularity
Artyom V. Astashenok, Shin'ichi Nojiri, Sergei D. Odintsov +1
We construct phantom energy models with the equation-of-state parameter such that , but finite-time future singularity does not occur. Such models can be divided into two…
One method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid
A. V. Yurov, A. A. Yurova
We propose a simple algebraic method for constructing exact solutions of equations of two-dimensional hydrodynamics of an incompressible fluid. The problem reduces to consecutively…