Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-01-19
Phys.Rev. D71 (2005) 123511
Astronomy and Astrophysics
Astrophysics
17 pages, 2 figures; added references
Scientific paper
10.1103/PhysRevD.71.123511
We use the Hamilton-Jacobi theory to study the nonlinear evolutions of inhomogeneous spacetimes during inflation in generalized gravity. We find the exact solutions to the lowest order Hamilton-Jacobi equation for special scalar potentials and introduce an approximation method for general potentials. The conserved quantity invariant under a change of timelike hypersurfaces proves useful in dealing with gravitational perturbations. In the long-wavelength approximation, we find a conserved quantity related to the new canonical variable that makes the Hamiltonian density vanish, and calculate the non-Gaussianity in generalized gravity. The slow-roll inflation models with a single scalar field in generalized gravity predict too small non-Gaussianity to be detected by future CMB experiments.
Kim Sang Pyo
Koh Seoktae
Song Doo Jong
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