Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-07-29
Phys.Rev. D56 (1997) 3357-3364
Astronomy and Astrophysics
Astrophysics
11 pages, Revtex, to appear in PRD
Scientific paper
10.1103/PhysRevD.56.3357
Previously defined covariant and gauge-invariant perturbation variables, representing, e.g., the fractional spatial energy density gradient on hypersurfaces of constant expansion, are used to simplify the linear perturbation analysis of a classical scalar field. With the help of conserved quantities on large scales we establish an exact first-order relation between comoving fluid energy density perturbations at `reentry' into the horizon and corresponding scalar field energy density perturbations at the first Hubble scale crossing during an early de Sitter phase of a standard inflationary scenario.
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