Cosmological perturbations in brane-world theories: Formalism
Physical Review D Particles Fields Gravitation and Cosmology 62:12 (2000) 1-13
Abstract:
We develop a gauge-invariant formalism to describe metric perturbations in five-dimensional brane-world theories. In particular, this formalism applies to models originating from heterotic M theory. We introduce a generalized longitudinal gauge for scalar perturbations. In this gauge, we derive the five-dimensional evolution equations for scalar perturbations as well as the most general structure of the scalar brane stress-energy tensor. As an application, we discuss some aspects of the evolution of fluctuations on the brane. Moreover, we show how the five-dimensional formalism can be matched to the known four-dimensional one in the limit where an effective four-dimensional description is appropriate. ©2000 The American Physical Society.Evidence for an inflationary phase transition from the LSS and CMB anisotropy data
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