Local gauge-invariant cosmological perturbations

Details Local gauge-invariant cosmological perturbations Local gauge-invariant cosmological perturbations

Oct 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46.3360m&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 8, 15 October 1992, pp.3360-3371

Mathematics

Logic

17

Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We develop a gauge-invariant formalism suitable for the study of cosmological perturbations induced by defects. It consists in remolding the well-known Bardeen formalism into a local and gauge-invariant theory formulated in configuration space. Baradeen's variables are first combined into local and gauge-invariant variables with simple geometric interpretations, and a system of hyperbolic equations is then derived for the new variables. The resulting theory is manifestly causal and it contains the density-gradient-vorticity interaction effect first discovered by Ellis, Bruni, and Hwang. Some applications to the theory of topological defects are given. The inborn metric of cosmic strings and the ``stiff defect'' approximation are reanalyzed, and a general solution for the density fluctuations induced by defects is given in terms of Green's functions.

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