Belarussian Polytechnical Academy kalashnikov [email protected] www.geocities.com/optomaplev Abstract The basics of the relativistic astrophysics including the celestial mechanics in weak field, black holes and cosmological models are illustrated and analyzed by means of Maple 6 Application Areas/Subjects: Science, Astrophysics, General Relativity, Tensor Analysis, Differential geometry, Differenti...

We consider the dynamics of tensor and scalar gravitational fields in the Relativistic Theory of Gravitation with the Minkowskian vacuum metric and generalize the formulation to the massless graviton. The potential of scalar field is determined in the presence of cosmological term under clear physical motivations. We find cosmological inflationary solutions and analyze conditions providing the ...

The dispersion coefficient tensor including off-diagonal components was introduced in the flow with secondary currents, which is called skewed shear flow dispersion SSFD coefficient tensor, in this paper. To observe the detailed effect of cross-dispersion terms in SSFD model on solute dispersion, mathematical analysis of eigenvalue problem with respect to the equation with SSFD coefficient tens...

We introduce a model constitutive law for the dissipative stress tensor of lamellar phases to account for low frequency and long wavelength flows. Given the uniaxial symmetry of these phases, we argue that the stress tensor must be the same as that of a nematic but with the local order parameter being the slowly varying lamellar wavevector. This assumption leads to a dependence of the effective...

In this work, we examine the geometric character of field equations general relativity and propose to formulate relativistic in terms Riemann curvature tensor. The resulted are also integrated into framework that have presented our previous works all known classical fields can be expressed same dynamical form. We discuss a possibility reformulate so Ricci tensor energy-momentum appear symmetric...

Building on our earlier work and that of Son, we construct string theory duals of nonrelativistic critical phenomena at finite temperature and density. Concretely, we find black hole solutions of type IIB supergravity whose asymptotic geometries realize the Schrödinger group as isometries. We then identify the non-relativistic conformal field theories to which they are dual. We analyze the ther...