= Komar integral of a five-dimensional Reissner--Nordstrom metric
{c}
{title2=$\int_{S^3_\infty}\star dk^\flat=4\pi^2s$}
For $f=1-s/r^2+q/r^4$ and the spacetime orientation $-dt\wedge dr\wedge d\Omega_3$, the <Hodge star operator> gives $\int_{S^3}\star dk^\flat=2\pi^2r^3f^{\prime}\to4\pi^2s$. A prefactor $1/(16\pi)$ produces $\pi s/4$, whereas the dimension-adjusted ADM mass normalization produces $3\pi s/8$. The normalization and orientation must be specified rather than imported from four dimensions.
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