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- W2524473502 abstract "We derive wave equations describing periodic oscillations in geometrically thin disks. There are two ways describing wave equations: Lagrangian and Eulerian descriptions. The former is better to examine some basic properties of oscillations, but the latter is convenient to study practical problems. In addition to wave equation, in this chapter, we derive expressions for wave energy, since the wave energy is one of important quantities which are conserved in periodic oscillations. We treat here rather simplified disks. That is, they are geometrically thin nonself-gravitating, and have no radial accretion flows. We are interested in disks in strong gravitational fields, since high-frequency quasi-periodic oscillations observed in neutron stars and black-hole sources may come from the innermost part of relativistic disks. In this book, however, we use the conventional way that the effects of the general relativity are taken into account within the framework of Newtonian formulation by adopting general relativistic expressions for epicyclic frequencies. Oscillations are taken to be adiabatic and inviscid. The effects of dissipative processes on oscillations are considered in part II (Chaps. 9 and 13)." @default.
- W2524473502 created "2016-10-07" @default.
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- W2524473502 date "2016-01-01" @default.
- W2524473502 modified "2023-10-16" @default.
- W2524473502 title "Derivation of Linear Wave Equations and Wave Energy" @default.
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- W2524473502 doi "https://doi.org/10.1007/978-4-431-56208-5_3" @default.
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