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In other words, eitherΣ(R) is cusped forc≤1 orΣ(0) is constant forc>1, whereas3 2 c(R)→0 asR→0 ifc> 1 2

≃  b−1 2(c−1) (c>1) b−1 2 ln 4 ϱ2 −H b−2 −2 (c=1) Γ(b)Γ(c+ 1 2)Γ(1−c) √πΓ(b−c)Γ(c)ϱ 2(1−c) (c<1), 32 c GMt/R0 ≃  Γ(b)Γ(c−

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Potentials of axisymmetric razor-thin disks

physics.class-ph · 2026-04-07 · unverdicted · novelty 7.0

Certain families of razor-thin disk surface densities based on beta distributions and relatives produce gravitational potentials equivalent to linear mass distributions, often via single quadratures or closed forms.

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  • Potentials of axisymmetric razor-thin disks physics.class-ph · 2026-04-07 · unverdicted · none · ref 10

    Certain families of razor-thin disk surface densities based on beta distributions and relatives produce gravitational potentials equivalent to linear mass distributions, often via single quadratures or closed forms.