Stability of self-gravitating bosons

Conference · Sun May 01 00:00:00 EDT 1988

OSTI ID:7068658

Jetzer, P

The problem of the dynamical stability of the equilibrium solutions for the bosonic stellar configurations in the framework of general relativity is studied. Following the method developed by Chandrasekhar, a variational principle for determining the eigenfrequencies of the oscillations is found. Using the variational principle, one can find an upper bound for the central densities where dynamical instability occurs. For the non-interacting massive complex scalar fields the equilibrium configurations are dynamically unstable for central densities bigger than /rho/ = 1.04 x 10/sup 98/m/sup 2/ g/cm/sup 3/ (m is the boson mass in grams) whereas for the quartic self-interacting case the bound is given by /rho/ = 0.53 x 10/sup 98/m/sup 2/ g/cm/sup 3/ (for a value of the quartic coupling constant: 3.8 x 10/sup 12/m/sup 2/). 5 refs.

• Research Organization: Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
• DOE Contract Number: AC02-76CH03000
• OSTI ID: 7068658
• Report Number(s): FNAL/C-88/88-A; CONF-8808112-2; ON: DE88017198
• Resource Relation: Conference: 5. Marcel Grossmann conference, Perth, Australia, 8 Aug 1988; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
STARS
GRAVITATIONAL INSTABILITY
BOSONS
EIGENFUNCTIONS
ENERGY-MOMENTUM TENSOR
GENERAL RELATIVITY THEORY
VARIATIONAL METHODS
FIELD THEORIES
FUNCTIONS
INSTABILITY
PLASMA INSTABILITY
TENSORS
640102* - Astrophysics & Cosmology- Stars & Quasi-Stellar
Radio & X-Ray Sources
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation