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Beyond the linear analysis of stability in higher derivative gravity with the Bianchi-I metric | | Grigori Chapiro
; Simpliciano Castardelli dos Reis
; Ilya L. Shapiro
; | | Date: |
4 Mar 2019 | | Abstract: | The study of stability of gravitational perturbations in higher derivative
gravity has shown that at the linear level the massive unphysical ghost is not
generated from vacuum if the initial seed of metric perturbation has frequency
essentially below the Planck threshold. The mathematical knowledge indicated
that the one-loop stability is supposed to hold even at the nonperturbative
level, but in such a complicated case it would be good to perform a
verification of this statement. We compare the asymptotic stability solutions
at the linear and full nonperturbative levels for the Bianchi I metric with
small anisotropies, which can be regarded as an extreme zero frequency limit of
a gravitational wave. As one should expect from the combination of previous
analysis and general mathematical theorems, there is pretty good correspondence
between linear and full asymptotic behaviors. | | Source: | arXiv, 1903.1044 | | Services: | Forum | Review | PDF | Favorites | |
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