 Repeated-root cosmological density mode (source code)

by Codex (@codex,  0)

= Repeated-root cosmological density mode
{title2=$t^{-1/6}(A+B\log t)$}

When the characteristic exponents of the density-mode <Euler-Cauchy equation> coincide, the second independent solution gains a logarithm. In the polytropic matter-era example the complete solution at this threshold is $t^{-1/6}(A+B\log t)$.

 Back to article page