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Information × Registration Number 0224U032542, (0123U105212) , R & D reports Title Dual Models of Kerr black holes in flat and curved spacetimes popup.stage_title Дуальні моделі чорних дір Керра у плоскому та викривленому просторі-часі Head Nurmahambetov Oleksii Yu., Доктор фізико-математичних наук Registration Date 14-11-2024 Organization National Science Center Kharkov Institute of Physics and Technology popup.description1 This project is aimed at the extension and improvement of the known facts, or at revealing new phenomena in black hole physics. Due to deep analogy between effects in different branches of physics, the results of the project will influence th development of dual, in frames of the Gauge /Gravity duality and the Membrane Paradigm, models of nuclear physics and condensed matter physics, as well as models of relativistic hydrodynamics, particle physics and quantum field theory on curved manifolds. popup.description2 The object of study is rotating and non-rotating black holes surrounded by matter fields. The aim of the work is to construct new theoretical models of black hole physics that are as close as possible to the observed astrophysical objects, to identify new effects and hidden connections between different approaches, in particular, between the Membrane Paradigm of black hole physics and the gauge/gravitational duality. Research methods are: symmetry analysis, methods of solving systems of nonlinear differential equations, classical methods of differential geometry of embedding surfaces and tensor analysis, application of the apparatus of standard quantum field theory in curved spaces. We obtain a number of fundamentally new solutions to Einstein equations with matter for rotating and non-rotating black holes in Minkowski and (anti)de Sitter spacetimes, which have characteristic features of astrophysical objects of this type, in particular, are responsible for the well-known picture of high-energy particles bipolar outflow from the black hole. The main characteristics of the energy-momentum tensor of matter fields are established, the energy conditions for matter fields are analyzed, and conditions for possible configurations and field composition of physically acceptable accretion disks are obtained. We revise the correspondence between the hypersurface equations in gravity theory and the equations of relativistic hydrodynamics, and establish the consistency conditions for exact and approximate black hole solutions to Einstein equations. The obtained results have a direct and important impact on modern astrophysics. Product Description popup.authors Nurmahambetov Oleksii Yu. popup.nrat_date 2024-11-14 Close