Power-law inflation satisfies Penrose’s Weyl curvature hypothesis

D’Amico, Guido; Kaloper, Nemanja

doi:10.1103/physrevd.106.103503

Power-law inflation satisfies Penrose’s Weyl curvature hypothesis

Journal Article · Mon Nov 07 00:00:00 EST 2022 · Physical Review. D.

DOI:https://doi.org/10.1103/physrevd.106.103503· OSTI ID:2419933

D’Amico, Guido ^[1]; ^[2]

Univ. of Parma (Italy); Istituto Nazionale di Fisica Nucleare (INFN), Parma (Italy); OSTI
Univ. of California, Davis, CA (United States)

Based on entropy considerations and the arrow of time Penrose argued that the Universe must have started in a special initial singularity with vanishing Weyl curvature. This is often interpreted to be at odds with inflation. Here we argue just the opposite, that Penrose’s persuasions are in fact consistent with inflation. Using the example of power law inflation, we show that inflation begins with a past null singularity, where Weyl tensor vanishes when the metric is initially exactly conformally flat. This initial state precisely obeys Penrose’s conditions. The initial null singularity breaks T-reversal spontaneously and picks the arrow of time. It can be regulated and interpreted as a creation of a universe from nothing, initially fitting in a bubble of Planckian size when it materializes. Penrose’s initial conditions are favored by the initial O(4) symmetry of the bubble, selected by extremality of the regulated Euclidean action. The predicted observables are marginally in tension with the data, but they can fit if small corrections to power law inflation kick in during the last 60⁢e-folds.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, Davis, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0009999

OSTI ID:: 2419933

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 10 Vol. 106; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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