Statistics – Computation
Scientific paper
Aug 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985mnras.215..575k&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 215, Aug. 15, 1985, p. 575-589.
Statistics
Computation
78
Black Holes (Astronomy), Computational Astrophysics, Gravitation Theory, Scalars, Universe, Dynamic Stability, Flow Stability, Hydrodynamics, Jeans Theory, Symmetry, Unified Field Theory
Scientific paper
The gravitational instability of a spatially uniform state of a relativistic scalar field on a time-independent background is considered. The instability is demonstrated to be similar to the well-known Jeans instability of dust-like nonrelativistic matter. The consideration is generalized to incorporate 'hydrodynamics', i.e., self-interaction of the field. It is demonstrated that 'hydrodynamic' effects may drastically alter the character of the instability; in particular, the dependence of the instability growth rate on perturbation wavenumber may become nonmonotone. The nonlinear stage of instability development is analyzed half-quantitatively. It is demonstrated that, the 'hydrodynamics' being stabilizing, the instability growth may result in establishing stable spatially periodic structures in the one-dimensional situation. The results obtained are applied to estimating the probability of primordial black hole formation from perturbations growing due to gravitational instability in a universe dominated by a scalar axion field.
Khlopov Iu. M.
Malomed Boris A.
Zeldovich Ia. B.
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