Nonadiabatic oscillations of compact stars in general relativity

Journal Article · Fri Oct 15 00:00:00 EDT 2004 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.70.084009· OSTI ID:20705479

Gualtieri, L ^[1]; Pons, J A ^[2]; Miniutti, G ^[3]

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1. Dipartimento di Fisica 'G.Marconi', Universita di Roma 'La Sapienza' and Sezione INFN ROMA1, piazzale Aldo Moro 2, I-00185 Rome (Italy)
2. Departament de Fisica Aplicada, Universitat d'Alacant, Apartat de correus 99, 03080 Alacant (Spain)
3. Institute of Astronomy, University of Cambridge, Madingley Road, Cambridge CB3 0HA (United Kingdom)

We have developed a formalism to study nonadiabatic, nonradial oscillations of nonrotating compact stars in the frequency domain, including the effects of thermal diffusion in the framework of general relativistic perturbation theory. When a general equation of state depending on temperature is used, the perturbations of the fluid result in heat flux which is coupled with the space-time geometry through the Einstein field equations. Our results show that the frequency of the first pressure (p) and gravity (g) oscillation modes is significantly affected by thermal diffusion, while that of the fundamental (f) mode is basically unaltered due to the global nature of that oscillation. The damping time of the oscillations is generally much smaller than in the adiabatic case (more than 2 orders of magnitude for the p- and g-modes) reflecting the effect of thermal dissipation. Both the isothermal and adiabatic limits are recovered in our treatment and we study in more detail the intermediate regime. Our formalism finds its natural astrophysical application in the study of the oscillation properties of newly born neutron stars, neutron stars with a deconfined quark core phase, or strange stars which are all promising sources of gravitational waves with frequencies in the band of the first generation and advanced ground-based interferometric detectors.

• OSTI ID: 20705479
• Journal Information: Physical Review. D, Particles Fields, Vol. 70, Issue 8; Other Information: DOI: 10.1103/PhysRevD.70.084009; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
DISTURBANCES
EINSTEIN FIELD EQUATIONS
EQUATIONS OF STATE
GENERAL RELATIVITY THEORY
GEOMETRY
GRAVITATION
GRAVITATIONAL WAVES
HEAT FLUX
HEAT TRANSFER
NEUTRON STARS
OSCILLATION MODES
OSCILLATIONS
PERTURBATION THEORY
QUARKS
RELATIVISTIC RANGE
SPACE-TIME
THERMAL DIFFUSION