Mathematics – Logic
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.2882g&link_type=abstract
Physical Review D (Particles and Fields), Volume 39, Issue 10, 15 May 1989, pp.2882-2892
Mathematics
Logic
34
Scientific paper
We use Bardeen's gauge-invariant formalism to analyze the behavior of, and relationship between, various geometric and physical quantities of cosmological interest at the linear level. This leads to a cosmologically oriented gauge-invariant characterization of the different perturbation modes that can arise. In particular a link is made between the existence of gravitational-wave modes and the conformal curvature of hypersurfaces in spacetime. We indicate how these results can be useful in the analysis of exact solutions of the Einstein field equations.
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