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Title:
Gravitational instability of scalar fields and formation of primordial black holes
Authors:
KHLOPOV, M. IU.; MALOMED, B. A.; ZELDOVICH, IA. B.
Affiliation:
AC(AN SSSR, Institut Prikladnoi Matematiki, Moscow, USSR)
Journal:
Royal Astronomical Society, Monthly Notices (ISSN 0035-8711), vol. 215, Aug. 15, 1985, p. 575-589.
Publication Date:
08/1985
Category:
Astrophysics
Origin:
STI
NASA/STI Keywords:
BLACK HOLES (ASTRONOMY), COMPUTATIONAL ASTROPHYSICS, GRAVITATION THEORY, SCALARS, UNIVERSE, DYNAMIC STABILITY, FLOW STABILITY, HYDRODYNAMICS, JEANS THEORY, SYMMETRY, UNIFIED FIELD THEORY
Bibliographic Code:
1985MNRAS.215..575K

Abstract

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. 
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