Joining conditions for cosmological perturbations at an equation-of-state transition
- Joseph Henry Laboratories, Department of Physics, Princeton University, Princeton, New Jersey 08544 (USA)
Joining conditions for cosmological spatial irregularities at an equation-of-state transition spatial hypersurface are derived by requiring that the relativistic linear perturbation theory equations of motion remain singularity-free at the transition spatial hypersurface. The transition spatial hypersurface is taken to be a spatially homogeneous local energy-density spatial hypersurface, between two spacetime-dependent speed-of-sound'' fluid-dominated epochs of a spatially flat Friedmann-Lema{cflx i}tre-Robertson-Walker cosmological model. Since the spacetime-dependent speed-of-sound'' fluid model includes, as special cases, both the scalar field model and the ideal fluid model, these joining conditions may be used at the scalar-field--radiation and radiation-baryon transitions in simple inflation-modified hot big-bang models. These joining conditions differ from two earlier sets of joining conditions (which differ from each other).
- DOE Contract Number:
- AC02-76ER03072
- OSTI ID:
- 5596478
- Journal Information:
- Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 43:12; ISSN PRVDA; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COSMOLOGICAL MODELS
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
ENERGY DENSITY
EQUATIONS
EQUATIONS OF MOTION
EQUATIONS OF STATE
FIELD EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
PERTURBATION THEORY
RELATIVITY THEORY
SCALAR FIELDS
SPACE-TIME