Analytical approximations for curved primordial power spectra. (arXiv:2009.05573v3 [astro-ph.CO] UPDATED)
<a href="http://arxiv.org/find/astro-ph/1/au:+Thavanesan_A/0/1/0/all/0/1">Ayngaran Thavanesan</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Werth_D/0/1/0/all/0/1">Denis Werth</a>, <a href="http://arxiv.org/find/astro-ph/1/au:+Handley_W/0/1/0/all/0/1">Will Handley</a>
We extend the work of Contaldi et al. and derive analytical approximations
for primordial power spectra arising from models of inflation which include
primordial spatial curvature. These analytical templates are independent of any
specific inflationary potential and therefore illustrate and provide insight
into the generic effects and predictions of primordial curvature, manifesting
as cut-offs and oscillations at low multipoles and agreeing with numerical
calculations. We identify through our analytical approximation that the effects
of curvature can be mathematically attributed to shifts in the wavevectors
participating dynamically.
We extend the work of Contaldi et al. and derive analytical approximations
for primordial power spectra arising from models of inflation which include
primordial spatial curvature. These analytical templates are independent of any
specific inflationary potential and therefore illustrate and provide insight
into the generic effects and predictions of primordial curvature, manifesting
as cut-offs and oscillations at low multipoles and agreeing with numerical
calculations. We identify through our analytical approximation that the effects
of curvature can be mathematically attributed to shifts in the wavevectors
participating dynamically.
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