Accretion flows, winds and jets of compact astrophysical objects
and stars are generally described within the framework of
hydrodynamical and magnetohydrodynamical (MHD) flows. Analytical
analysis of the problem provides profound physical insights, which
are essential for interpreting and understanding the results of
numerical simulations. Providing such a physical understanding of
MHD Flows in Compact Astrophysical Objects is the main goal of this
book, which is an updated translation of a successful Russian
graduate textbook. The book provides the first detailed
introduction into the method of the Grad-Shafranov equation,
describing analytically the very broad class of hydrodynamical and
MHD flows. It starts with the classical examples of hydrodynamical
accretion onto relativistic and nonrelativistic objects. The
force-free limit of the Grad-Shafranov equation allows us to
analyze in detail the physics of the magnetospheres of radio
pulsars and black holes, including the Blandford-Znajek process of
energy extraction from a rotating black hole immersed in an
external magnetic field. Finally, on the basis of the full MHD
version of the Grad-Shafranov equation the author discusses the
problems of jet collimation and particle acceleration in Active
Galactic Nuclei, radio pulsars, and Young Stellar Objects. The
comparison of the analytical results with numerical simulations
demonstrates their good agreement. Assuming that the reader is
familiar with the basic physical and mathematical concepts of
General Relativity, the author uses the 3+1 split approach which
allows the formulation of all results in terms of physically clear
language of three dimensional vectors. The book contains detailed
derivations of equations, numerous exercises, and an extensive
bibliography. It therefore serves as both an introductory text for
graduate students and a valuable reference work for researchers in
the field.
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