185 citations · 1.6k across the 90 of their papers we have counts for
57 papers · 1 filter
On Time Variations of Gravitational and Yang-Mills Constants in a Cosmological Model of Superstring Origin
V. D. Ivashchuk, V. N. Melnikov
In the framework of 10-dimensional "Friedmann-Calabi-Yau" cosmology of superstring origin we show that the time variation of either Newton's gravitational constant or Yang-Mills on…
Quantum billiards in multidimensional models with fields of forms
V. D. Ivashchuk, V. N. Melnikov
Bianchi type I cosmological model in (n+1)-dimensional gravity with several forms is considered. When the electric non-composite brane ansatz is adopted, the Wheeler-DeWitt (WDW) e…
Nonlinear multidimensional gravity and the Australian dipole
K. A. Bronnikov, V. N. Melnikov, S. G. Rubin +1
The existing observational data on possible variations of fundamental physical constants (FPC) confirm more or less confidently only a variability of the fine structure constant $α…
On black holes in multidimensional theory with Ricci-flat internal spaces
S. B. Fadeev, V. D. Ivashchuk, V. N. Melnikov
A generalization of the Tangherlini solution for the case of n internal Ricci-flat spaces is obtained. It is shown that in the (2+d)-dimensional section a horizon exists only in th…
On the "scattering law" for Kasner parameters in the model with one-component anisotropic fluid
V. D. Ivashchuk, V. N. Melnikov
A multidimensional cosmological type model with 1-component anisotropic fluid is considered. An exact solution is obtained. This solution is defined on a product manifold containin…
Models of G time variations in diverse dimensions
V. N. Melnikov
A review of different cosmological models in diverse dimensions leading to a relatively small time variation of the effective gravitational constant G is presented. Among them: 4-d…
Cosmologies from nonlinear multidimensional gravity with acceleration and slowly varying G
K. A. Bronnikov, S. A. Kononogov, V. N. Melnikov +1
We consider multidimensional gravity with a Lagrangian containing the Ricci tensor squared and the Kretschmann invariant. In a Kaluza-Klein approach with a single compact extra spa…
An S-brane solution with acceleration and small enough variation of G
J. -M. Alimi, V. D. Ivashchuk, V. N. Melnikov
An S-brane solution with two non-composite electric branes and a set of l scalar fields is considered. The intersection rule for branes corresponds to the Lie algebra A_2. The solu…
Regular black holes and black universes
K. A. Bronnikov, H. Dehnen, V. N. Melnikov
We give a comparative description of different types of regular static, spherically symmetric black holes (BHs) and discuss in more detail their particular type, which we suggest t…
Multidimensional cosmology with anisotropic fluid: acceleration and variation of G
J. -M. Alimi, V. D. Ivashchuk, S. A. Kononogov +1
A multidimensional cosmological model describing the dynamics of n+1 Ricci-flat factor-spaces M_i in the presence of a one-component anisotropic fluid is considered. The pressures…
On the cosmological constant in quantum cosmology
M. I. Kalinin, V. N. Melnikov
Quantization of a dust-like closed isotropic cosmological model with a cosmological constant is realized by the method of B. DeWitt \cite{1}. It is shown that such quantization lea…
Brane world corrections to Newton's law
K. A. Bronnikov, S. A. Kononogov, V. N. Melnikov
We discuss possible variations of the effective gravitational constant with length scale, predicted by most of alternative theories of gravity and unified models of physical intera…
On avoiding cosmological oscillating behavior for S-brane solutions with diagonal metrics
V. D. Ivashchuk, V. N. Melnikov, D. Singleton
In certain string inspired higher dimensional cosmological models it has been conjectured that there is generic, chaotic oscillating behavior near the initial singularity -- the Ka…
Non-singular solutions in multidimensional model with scalar fields and exponential potential
J. -M. Alimi, V. D. Ivashchuk, V. N. Melnikov
Using developed earlier our methods for multidimensional models \cite{M1,M2,M3} a family of cosmological-type solutions in D-dimensional model with two sets of scalar fields \vecϕ…
Multicomponent perfect fluid with variable parameters in n Ricci-flat spaces
J. -M. Alimi, V. R. Gavrilov, V. N. Melnikov
D-dimensional cosmological model describing the evolution of a multicomponent perfect fluid with variable barotropic parameters in n Ricci-flat spaces is investigated. The equation…
Friedmann universe with dust and scalar field
V. R. Gavrilov, V. N. Melnikov, S. T. Abdyrakhmanov
We study a spatially flat Friedmann model containing a pressureless perfect fluid (dust) and a scalar field with an unbounded from below potential of the form $V(\fii)=W_0 - V_0\si…
Conformal frames and D-dimensional gravity
K. A. Bronnikov, V. N. Melnikov
We review some results concerning the properties of static, spherically symmetric solutions of multidimensional theories of gravity: various scalar-tensor theories and a generalize…
On a general class of brane-world black holes
K. A. Bronnikov, H. Dehnen, V. N. Melnikov
We use the general solution to the trace of the 4-dimensional Einstein equations for static, spherically symmetric configurations as a basis for finding a general class of black ho…
Test of inverse square law through precession of orbits
N. I. Kolosnitsyn, V. N. Melnikov
Using precession of orbits due to non-Newtonian interaction between two celestial bodies and modern tracking data of satellites, planets and a pulsar we obtain new more precise lim…
General solutions for flat Friedmann universe filled by perfect fluid and scalar field with exponential potential
H. Dehnen, V. R. Gavrilov, V. N. Melnikov
We study integrability by quadrature of a spatially flat Friedmann model containing both a minimally coupled scalar field with an exponential potential $V(ϕ)\sim\exp[-\sqrt{6}σ…
On black hole solutions in model with anisotropic fluid
H. Dehnen, V. D. Ivashchuk, V. N. Melnikov
A family of spherically symmetric solutions in the model with 1-component anisotropic fluid is considered. The metric of the solution depends on a parameter q > 0 relating radial p…
Possible time variations of G in scalar-tensor theories of gravity
K. A. Bronnikov, V. N. Melnikov, Mario Novello
We estimate the possible variations of the gravitational constant G in the framework of a generalized (Bergmann-Wagoner-Nordtvedt) scalar-tensor theory of gravity on the basis of t…
Problems of G and multidimensional models
V. N. Melnikov, V. D. Ivashchuk
The relations for G-dot in multidimensional model with Ricci-flat internal space and multicomponent perfect fluid are obtained. A two-component example: dust + 5-brane, is consider…
Multidimensional Black Hole Solutions In Model With Perfect Fluid
V. D. Ivashchuk, V. N. Melnikov, A. B. Selivanov
A family of black-hole solutions in the model with 1-component perfect fluid is obtained. The metric of any solution contains (n -1) Ricci-flat "internal space" metrics and for cer…