The Extremal Reissner-Nordström Geometry

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Extremal Reissner-Nordström geometry

Extremal Reissner-Nordström spacetime diagram r+ = r- = M

Free-fall spacetime diagram for the extremal Reissner-Nordström geometry Watch extremal Reissner-Nordström morph into free-fall (46K GIF); or same morph, double-size on screen (same 46K GIF).

Finkelstein spacetime diagram of the extremal Reissner-Nordström geometry Watch extremal Reissner-Nordström morph into Finkelstein (38K GIF); or same morph, double-size on screen (same 38K GIF). Watch Finkelstein morph into free-fall (32K GIF); or same morph, double-size on screen (same 32K GIF).

Penrose diagram of the extremal Reissner-Nordström geometry Introduce a cutoff at |R| < Rc. rP + tP = sign(R + t) ln(1 + |R + t|)  +  Rc ln(1 + Rc) rP - tP = ± [- sign(R - t) ln(1 + |R - t|)  +  Rc ln(1 + Rc)] where the overall sign in the last equation is positive (+) outside the horizon, r > r+, and negative (-) inside the horizon, r < r+. Watch Finkelstein morph into Penrose (51K GIF); or same morph, double-size on screen (same 51K GIF).

Penrose diagram of the complete extremal Reissner-Nordström geometry

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Updated 19 Apr 2001