15-16 December 2020
Centre for Particle Theory, Durham
Europe/London timezone

Analytical Approximations for Curved Primordial Power Spectra

15 Dec 2020, 16:00
30m
Teams (Centre for Particle Theory, Durham)

Teams

Centre for Particle Theory, Durham

IPPP & Dept. Mathematical Sciences Durham University South Road Durham DH1 3LE

Speaker

Ayngaran Thavanesan (University of Cambridge)

Description

Whilst interpretations of the level of experimental support for a curved present-day universe differ, universe models with percent-level spatial curvature remain compatible with CMB datasets. The inflationary framework successfully predicts the minimal present-day curvature. However, if one is to study inflation in a complete manner, one cannot assume a flat universe at the start of the expansion. There are also other theoretical reasons to consider the effect of curvature; particularly for the studies of inflation exits and quantum gravity.

This motivates us to study the effects of primordial curvature. In this work, we generalize the potential-independent inflationary model, popularized by Contaldi et al., to the curved case. We demonstrate that the Contaldi approximation still holds for the case of curved universes, and allows us to clearly illustrate the generic cut-off and oscillatory effects seen in numerically computed curved primordial power spectra. Through our analytical solutions, we are able to gain a better insight into the physics of curved inflating universes. We also discuss the possibility of developing our framework to include potential dependence.

https://arxiv.org/abs/2009.05573

Would you be interested in receiving feedback on your talk? Yes
Are you happy for your talk to be recorded? Yes
Length of talk 15-25 minutes
Will you be pre-recording your talk? No

Primary author

Ayngaran Thavanesan (University of Cambridge)

Presentation Materials