Mathematics – Logic
Scientific paper
Jun 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991cqgra...8l.133j&link_type=abstract
Classical Quantum Gravity, Vol. 8, No. 6, p. L133 - L136
Mathematics
Logic
1
Cosmological Models: Density Perturbations, Cosmological Models: Gravitation Theory
Scientific paper
The author presents cosmological perturbation equations for a theory with the Lagrangian L ≡ f(R) + γRR;c;c, where the second term leads to a sixth-order theory in the metric. Equations for both density and gravitational wave perturbations are derived in a gauge-invariant way where the density perturbation equation becomes a fourth-order differential equation. The integral form solution of the gravitational wave perturbations in the large scale is shown and it can be applied to a wide variety of gravity theories.
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