Astronomy and Astrophysics – Astronomy
Scientific paper
Aug 2006
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006iauss...5e..18a&link_type=abstract
Astronomy for the Developing World, 26th meeting of the IAU, Special Session 5, 21-22 August, 2006 in Prague, Czech Republic, SP
Astronomy and Astrophysics
Astronomy
Scientific paper
In the paper the theoretical results obtained in Uzbekistan in the field of relativistic astrophysics of compact objects and relativistic cosmology will be presented. In particular electrostatic plasma modes along the open field lines of a rotating neutron star and Goldreich-Julian charge density in general relativity are analyzed for the rotating and oscillating neutron stars. For a steady state Goldreich-Julian charge density the usual plasma oscillation along the field lines are found; plasma frequency resembles to the gravitational redshift close to the Schwarzschild radius. The equations that describe the electromagnetic processes in a plasma surrounding a neutron star are obtained by using the general relativistic form of Maxwell equations in a geometry of slow rotating gravitational object. A new mechanism of the generation of azimuthal current under the gravitomagnetic effect on radial current in a plasma around neutron star is predicted. The impact that stellar oscillations have on electric and magnetic fields external to a relativistic magnetized star has been investigated. The solution of the general relativistic Maxwell equations both in the vicinity of the stellar surface and far from it has been found. The general relativistic energy loss through electromagnetic radiation for different type (radial, toroidal and spheroidal) oscillations of relativistic magnetized stars has been calculated. Analytic solutions of Maxwell equations in the internal and external background spacetime of a slowly rotating misaligned magnetized neutron star have been obtained. In a cosmological setting the theory of macroscopic gravity is a large-distance scale generalization of general relativity. The averaged Einstein equations of macroscopic gravity are modified by the gravitational correlation tensor terms as compared with the Einstein equations of general relativity, the tensor satisfying an additional system of equations. Exact cosmological solutions to the equations of macroscopic gravity for a flat (k=0) spatially homogeneous, isotropic space-time are found. The gravitational correlation terms in the averaged Einstein equations have the form of spatial curvature, dark matter and dark energy (cosmological constant) with particular equations of state for each correlation regime. Interpretation of these cosmological models to explain the observed large-scale structure of the accelerating Universe with a significant amount of the nonluminous (dark) matter is discussed.
Ahmedov Bobomurat J.
Turakulov Ya. Z.
Zalaletdinov Roustam M.
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