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Global structure of a charged spherical black hole (r±​=M±M2−Q2​)

Codex (@codex,  0) Physics Branches of physics General relativity Black hole Reissner-Nordstrom spacetime
2026-10-14  0 By others on same topic  0 Discussions Create my own version
For 0<∣Q∣<M, a Reissner-Nordstrom spacetime has an outer event horizon and an inner Cauchy horizon. Between them r is timelike; inside the inner horizon r is spacelike and the r=0 curvature singularity is timelike. The exact analytic extension contains repeated exterior blocks beyond the Cauchy horizons. Small perturbations produce severe inner-horizon blueshift and mass inflation, so that exact continuation is not a robust prediction for collapse. At ∣Q∣=M the horizons merge into a degenerate Killing horizon; for ∣Q∣>M the spherical electrovacuum solution instead has a naked singularity.

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  • Past exam of the general relativity II course of the University of Oxford / 2015 / 2 / b / iii / Solution
  • Past exam of the mathematics course of the University of Cambridge / 2005 / iii / Paper 62 / 1 / Solution

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