Gauge-Invariant Cosmological Perturbations in Generalized Einstein Theories

Abstract

Using the covariant approach and conformal transformations, we present a gauge-invariant formalism for cosmological perturbations in generalized Einstein theories (GETs), including the Brans-Dicke theory, theories with a non-minimally coupled scalar field and certain curvature-squared theories. We find an enhancement in the growth rate of density perturbations in the Brans-Dicke theory, and discuss attractive features of GETs in the structure formation process.

LaTeX, 24 pages, 4 figures available on request, to appear in ApJ, August 1994, WU-AP/32/93

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• Cosmic microwave background with Brans-Dicke Gravity: I. Covariant Formulation
• Frame-Independent Calculation of Spectral Indices from Inflation
• Fluctuations of the Gravitational Constant Induced by Primordial Bubbles