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- W2026320545 abstract "view Abstract Citations (41) References (14) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS On the Pulsations of Relativistic Accretion Disks and Rotating Stars: The Cowling Approximation Ipser, James R. ; Lindblom, Lee Abstract 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. Publication: The Astrophysical Journal Pub Date: April 1992 DOI: 10.1086/171214 Bibcode: 1992ApJ...389..392I Keywords: Accretion Disks; Hydrodynamics; Relativistic Theory; Stellar Models; Stellar Oscillations; Stellar Rotation; Degrees Of Freedom; Elliptic Differential Equations; Gravitational Fields; Space-Time Functions; Variational Principles; Astrophysics; ACCRETION; ACCRETION DISKS; RELATIVITY; STARS: OSCILLATIONS; STARS: ROTATION full text sources ADS |" @default.
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- W2026320545 title "On the pulsations of relativistic accretion disks and rotating stars - The Cowling approximation" @default.
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