Nonlinear solutions of long-wavelength gravitational radiation

Journal Article · Wed May 15 04:00:00 EDT 1991 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.43.3214· OSTI ID:5796039

Salopek, D S ^[1]

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1. NASA/Fermilab Astrophysics Center, P.O. Box 500 MS-209, Batavia, Illinois 60510 (US)

In a significant improvement over homogeneous minisuperspace models, it is shown that the classical nonlinear evolution of inhomogeneous scalar fields and the metric is tractable when the wavelength of the fluctuations is larger than the Hubble radius. Neglecting second-order spatial gradients, one can solve the energy constraint as well as the evolution equations by invoking a transformation to new canonical variables. The Hamilton-Jacobi equation is separable and complete solutions are given for gravitational radiation and multiple scalar fields interacting through an exponential potential. Although the time parameter is arbitrary, the natural choice is the determinant of the three-metric. The momentum constraint may be simply expressed in terms of the new canonical variables which define the spatial coordinates. The long-wavelength analysis is essential for a proper formulation of stochastic inflation which enables one to model non-Gaussian primordial fluctuations for structure formation.

• OSTI ID: 5796039
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:10; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GENERAL RELATIVITY THEORY
GRAVITATIONAL FIELDS
GRAVITATIONAL RADIATION
HAMILTON-JACOBI EQUATIONS
HUBBLE EFFECT
MATHEMATICAL MODELS
METRICS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
QUANTUM FIELD THEORY
QUANTUM GRAVITY
RADIATIONS
SCALAR FIELDS
UNIVERSE