Tensor perturbations from bounce inflation scenario in f(Q)gravity

In this paper,we construct a bounce inflation cosmological scenario in the framework of the modified symmetric teleparallel gravity,namely f(Q)theory,and investigate the tensor perturbations therein.As is well-known,the tensor perturbations generated in the very early Universe(inflation and pre-inflation regions)can account for the primordial gravitational waves(PGWs)that are to be detected by the next generation of GW experiments.We discuss the stability condition of the tensor perturbations in the bounce inflation process and investigate in detail the evolution of the perturbation variable.The general form of the tensor power spectrum is obtained both for large as well as small scale modes.As a result,we show both kinds of modes(short or long wavelength modes),and the tensor spectrum may get a positive tilt in the parametric range where the tensor perturbation proves to be stable—this interestingly hints an enhancement of gravitational waves’amplitude in the background of the f(Q)bounce-inflation scenario.Moreover,we study the LQC-like scenario as a specific case of our model,in which,the primordial tensor power spectrum turns out to be nearly scale-invariant on both small and large scales.

On primordial black holes and secondary gravitational waves generated from inflation with solo/multi-bumpy potential

It is well known that a primordial black hole(PBH)can be generated in the inflation process of the early universe,especially when the inflation field has a number of non-trivial features that could break the slow-roll condition.In this study,we investigate a toy model of inflation with bumpy potential,which has one or several bumps.We determined that the potential with multi-bump can generate power spectra with multi-peaks in small-scale region,which can in turn predict the generation of primordial black holes in various mass ranges.We also consider the two possibilities of PBH formation by spherical and elliptical collapses.Finally,we discuss the scalar-induced gravitational waves(SIGWs)generated by linear scalar perturbations at second-order.

Comparing potential-driven DBI-inspired non-minimal kinetic coupling(Dinkic) inflation with observational data

In our previous work [1], a new kind of inflation model was proposed, which has the interesting property that its perturbation equation of motion gets a correction of k4, due to the non-linearity of the kinetic term.Nonetheless, the scale-invariance of the power spectrum remains valid, both in large-k and small-k limits. In this paper, we investigate in detail the spectral index, the index running and the tensor/scalar ratio in this model, especially in the potential-driven case, and compare the results with the current PLANCK/BICEP observational data.We also discuss the tensor spectrum in this case, which is expected to be tested by future observations of primordial gravitational waves.

Anisotropic inflation with general potentials

Anomalies in recent observational data indicate that there might be some "anisotropic hair" generated in an inflation period. To obtain general information about the effects of this anisotropic hair to inflation models, we studied anisotropic inflation models that involve one vector and one scalar using several types of potentials. We determined the general relationship between the degree of anisotropy and the fraction of the vector and scalar fields, and concluded that the anisotropies behave independently of the potentials. We also generalized our study to the case of multi-directional anisotropies.