Reissner-Nordstrom spacetime (source code)

= Reissner-Nordstrom spacetime
{c}
{title2=$r_\pm=M\pm\sqrt{M^2-Q^2}$}

= Reissner-Nordstrom metric
{c}
{synonym}

= Reissner-Nordstrom black hole
{c}
{synonym}

The four-dimensional charged spherically symmetric electrovacuum solution has radial function $f=1-2M/r+Q^2/r^2$. For $0<|Q|<M$, its outer and inner horizon radii are $r_\pm=M\pm\sqrt{M^2-Q^2}$. A complete two-ended spatial bridge has a <maximal Cauchy development> ending at smoothly extendible inner <Cauchy horizons> in the exact solution.