Inflationary gravitational waves in consistent $Dto 4$ Einstein-Gauss-Bonnet gravity. (arXiv:2010.03973v2 [gr-qc] UPDATED)

<a href="http://arxiv.org/find/gr-qc/1/au:+Aoki_K/0/1/0/all/0/1">Katsuki Aoki</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Gorji_M/0/1/0/all/0/1">Mohammad Ali Gorji</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Mizuno_S/0/1/0/all/0/1">Shuntaro Mizuno</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Mukohyama_S/0/1/0/all/0/1">Shinji Mukohyama</a>

We study the slow-roll single field inflation in the context of the

consistent $Dto4$ Einstein-Gauss-Bonnet gravity that was recently proposed in

cite{Aoki:2020lig}. In addition to the standard attractor regime, we find a

new attractor regime which we call the Gauss-Bonnet attractor as the dominant

contribution comes from the Gauss-Bonnet term. Around this attractor solution,

we find power spectra and spectral tilts for the curvature perturbations and

gravitational waves (GWs) and also a model-independent consistency relation

among observable quantities. The Gauss-Bonnet term provides a nonlinear $k^4$

term to the GWs dispersion relation which has the same order as the standard

linear $k^2$ term at the time of horizon crossing around the Gauss-Bonnet

attractor. The Gauss-Bonnet attractor regime thus provides a new scenario for

the primordial GWs which can be tested by observations. Finally, we study

non-Gaussianity of GWs in this model and estimate the nonlinear parameters

$f^{s_1s_2s_3}_{rm NL,;sq}$ and $f^{s_1s_2s_3}_{rm NL,;eq}$ by fitting the

computed GWs bispectra with the local-type and equilateral-type templates

respectively at the squeezed limit and at the equilateral shape. For helicities

$(+++)$ and $( — )$, $f^{s_1s_2s_3}_{rm NL,;sq}$ is larger while

$f^{s_1s_2s_3}_{rm NL,;eq}$ is larger for helicities $(++-)$ and $(–+)$.

We study the slow-roll single field inflation in the context of the

consistent $Dto4$ Einstein-Gauss-Bonnet gravity that was recently proposed in

cite{Aoki:2020lig}. In addition to the standard attractor regime, we find a

new attractor regime which we call the Gauss-Bonnet attractor as the dominant

contribution comes from the Gauss-Bonnet term. Around this attractor solution,

we find power spectra and spectral tilts for the curvature perturbations and

gravitational waves (GWs) and also a model-independent consistency relation

among observable quantities. The Gauss-Bonnet term provides a nonlinear $k^4$

term to the GWs dispersion relation which has the same order as the standard

linear $k^2$ term at the time of horizon crossing around the Gauss-Bonnet

attractor. The Gauss-Bonnet attractor regime thus provides a new scenario for

the primordial GWs which can be tested by observations. Finally, we study

non-Gaussianity of GWs in this model and estimate the nonlinear parameters

$f^{s_1s_2s_3}_{rm NL,;sq}$ and $f^{s_1s_2s_3}_{rm NL,;eq}$ by fitting the

computed GWs bispectra with the local-type and equilateral-type templates

respectively at the squeezed limit and at the equilateral shape. For helicities

$(+++)$ and $( — )$, $f^{s_1s_2s_3}_{rm NL,;sq}$ is larger while

$f^{s_1s_2s_3}_{rm NL,;eq}$ is larger for helicities $(++-)$ and $(–+)$.

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