25 citations · 110 across the 25 of their papers we have counts for
25 papers
Quantum Cosmology Without Singularities: A New Approach
Valerian A. Yurov, Artyom V. Yurov
The article is dedicated to a discussion regarding the role of Barrow's ''Zero Universes'' in quantum cosmology. In particular, we demonstrate that if quantum gravity effects are m…
The Cosmological Arrow of Time and the Retarded Potentials
Alla Yurova, Artyom Yurov, Valerian Yurov
We demonstrate that the cosmological arrow of time is the cause for the arrow of time associated with the retarded radiation. This implies that the proposed mathematical model serv…
On the Question of the Bäcklund Transformations and Jordan Generalizations of the Second Painlevé Equation
Artyom Yurov, Valerian Yurov
We demonstrate the way to derive the second Painlevé equation and its Bäcklund transformations from the deformations of the Nonlinear Schrödinger equation (NLS), all the whil…
The d-Dimensional Cosmological Constant and the Holographic Horizons
Artyom Yurov, Valerian Yurov
This article is dedicated to establishing a novel approach to the cosmological constant, in which it is treated as an eigenvalue of a certain Sturm--Liouville problem. The key to t…
The Cauchy problem for the generalized hyperbolic Novikov-Veselov equation via the Moutard symmetries
Alla Yurova, Artyom Yurov, Valerian Yurov
We begin by introducing a new procedure for construction of the exact solutions to Cauchy problem of the real-valued (hyperbolic) Novikov-Veselov equation which is based on the Mou…
What can the anthropic principle tell us about the future of the dark energy universe?
A. A. Yurova, A. V. Yurov, V. A. Yurov
An anthropic explanation for evident smallness of the value of the dark energy implies the existence of a time-dependent component of the scalar field, serving, together with a neg…