Astronomy and Astrophysics – Astrophysics
Scientific paper
Apr 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992apj...389..392i&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 389, April 10, 1992, p. 392-399.
Astronomy and Astrophysics
Astrophysics
30
Accretion Disks, Hydrodynamics, Relativistic Theory, Stellar Models, Stellar Oscillations, Stellar Rotation, Degrees Of Freedom, Elliptic Differential Equations, Gravitational Fields, Space-Time Functions, Variational Principles
Scientific paper
This paper shows that the hydrodynamic degrees of freedom of the adiabatic pulsations of relativistic fluids (e.g., accretion disks or rotating stars) can be described by a single scalar potential. When the gravitational perturbations are neglected - the Cowling approximation - this potential is determined by a second-order (typically elliptic) partial differential equation. A variational principle is developed from which the pulsation frequencies may be evaluated in this approximation. For objects like accretion disks in which self-gravitational effects are negligible, this approximation becomes an exact description of the pulsations.
Ipser James R.
Lindblom Lee
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