Kretschmann scalar of a five-dimensional charged black hole
= Kretschmann scalar of a five-dimensional charged black hole
{c}
{title2=$R_{abcd}R^{abcd}=288M^2/r^8-720MQ^2/r^{10}+508Q^4/r^{12}$}
For $V=1-2M/r^2+Q^2/r^4$, an orthonormal-frame curvature calculation gives $(V'')^2+6(V'/r)^2+12((1-V)/r^2)^2$. Expansion gives the displayed invariant, diverging at zero radius. It is finite at every positive root of V. Thus horizon coordinate singularities are distinct from the central <curvature singularity>.