Object of the research: black holes, wormholes, gravastars, neutron stars.
Aim of the research: study of electromagnetic fields and particle motion in i) the Kerr-Taub-NUT spacetime, spacetime of ii) rotating magnetized wormhole, iii) black hole on brane, iv) gravastars; derivation of the exact analytic solutions for dependence of radii of stable circular orbits from brane parameter of black holes on brane; study the influence of spin and gravitomagnetic monopole momentum of the black hole on processes of energy extraction from rotating black hole.
Methods of the research: mathematical methods of macroscopic electrodynamics in general relativity, differential geometry, numerical methods of calculation on computers, with further developing of the numerical methods for considered problems.
The obtained results and their novelty: the solutions for electromagnetic fields i) in the Kerr-Taub-NUT spacetime, spacetime of ii) magnetized neutron star with NUT charge, iii) magnetized wormhole, iv) gravastar, v) compact gravitating objects on brane have been found. It has been shown that influence of magnetic field dominates with compare to the NUT charge on charged particle motion in the Kerr-Taub-NUT spacetime and NUT parameter increases the efficiency of Blandfod-Znajek and Penrose processes. Strong dependence of particle motion from form parameter of wormhole has been observed. Exact solution for miminum value of the radii of stable circular orbits around black hole on brane and upper limit for brane parameter have been evaluated. It has been shown that plasma magnetosphere of rotating black hole is stable.
Practical significance: Obtained results can play significant role on detection and study of NUT, brane and other parameters of compact objects. Obtained data can be compared with observed data in order to find the existence and difference wormholes from black holes. Expression for magnetic field of gravastar can be used to describe electromagnetic processes in gravastar. Results allow to get upper limit on value of brane parameter from astrophysical observations on accretion disc around rotating black holes.
Degree of embed and economic effectivity: The dissertation is of theoretical character. The results obtained could be used for studying compact objects in relativistic astrophysics. These scientific results are introduced in the special course «Theory of Gravitation» delivered to graduate students at the National University of Uzbekistan.
Sphere of usage: Relativistic astrophysics, black hole physics, astrophysics of compact objects.
