Normal conformal metrics on R4 with Q-curvature having power-like growth
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.08.014
Abstract: Abstract Answering a question by M. Struwe [26] related to the blow-up behavior in the Nirenberg problem, we show that the prescribed Q-curvature equation Δ 2 u = ( 1 − | x | p… read more here.
Keywords: normal conformal; like growth; power like; metrics curvature ... See more keywords
Curvature or power maps of an optical surface or a wavefront
Sign Up to like & getrecommendations! Published in 2021 at "Optics Communications"
DOI: 10.1016/j.optcom.2021.127083
Abstract: Abstract The graphical representation of the surface level or topography of optical surfaces and wavefronts is a relatively simple problem if the optical surface is a simple and smooth one. However, the problem is not… read more here.
Keywords: optical surface; surface; power maps; maps optical ... See more keywords
Constraints on the curvature power spectrum from primordial black hole evaporation
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2019/08/032
Abstract: We estimate the maximum allowed amplitude for the power spectrum of the primordial curvature perturbations, ${\cal P_R}(k)$, on all scales from the absence of any detection signals of sub-solar mass black holes. In particular we… read more here.
Keywords: spectrum primordial; constraints curvature; power spectrum; curvature power ... See more keywords
From primordial black holes abundance to primordial curvature power spectrum (and back)
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Cosmology and Astroparticle Physics"
DOI: 10.1088/1475-7516/2019/10/031
Abstract: In the model where Primordial Black Holes (PBHs) form from large primordial curvature (C) perturbations, i.e., CPBHs, constraints on PBH abundance provide in principle constraints on the primordial curvature power spectrum. This connection however depends… read more here.
Keywords: power spectrum; curvature power; curvature; primordial curvature ... See more keywords