Dynamical instability of fluid spheres in the presence of a cosmological constant

Journal Article · Fri Apr 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.084026· OSTI ID:20709097

Boehmer, C G; Harko, T ^[1]

---

1. Erwin Schroedinger International Institute for Mathematical Physics, Boltzmanngasse 9, A-1090 Vienna (Austria)

The equations describing the adiabatic, small radial oscillations of general relativistic stars are generalized to include the effects of a cosmological constant. The generalized eigenvalue equation for the normal modes is used to study the changes in the stability of the homogeneous sphere induced by the presence of the cosmological constant. The variation of the critical adiabatic index as a function of the central pressure is studied numerically for different trial functions. The presence of a large cosmological constant significantly increases the value of the critical adiabatic index. The dynamical stability condition of the homogeneous star in the Schwarzschild-de Sitter geometry is obtained and several bounds on the maximum allowable value for a cosmological constant are derived from stability considerations.

• OSTI ID: 20709097
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 8; Other Information: DOI: 10.1103/PhysRevD.71.084026; (c) 2005 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
COSMOLOGICAL CONSTANT
COSMOLOGY
DE SITTER GROUP
EIGENVALUES
FLUIDS
GEOMETRY
INSTABILITY
OSCILLATIONS
RELATIVISTIC RANGE
STABILITY
STARS
VARIATIONS