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A Schwarzschild black hole of mass M is described by the line-element (formula presented) Asymptotically for large r, it takes the appearance of an ordinary Newtonian particle whose potential is M/r. Nearby, it is characterized by an event horizon at r = M, where the redshift z = (1/α) - 1, where α = √1 - 2M/r approaches infinity: The evolution of an infalling observer appears to "freeze out" relative to observers at large distances [see, for example. (13)].
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10
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0345338105
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note
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β produces a potential difference only across the field lines. Thus, field lines that penetrate the black hole can have their potentials labeled by a virtual polarization on its horizon, which is essentially the viewpoint in (19) [see also Eqs. 3.103 to 3.106 in (13)].
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12
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See Eq. 3.108 in (13)
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See Eq. 3.108 in (13).
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19
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38
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0345338101
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note
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I gratefully acknowledge stimulating discussions with A. Toomre and J. M. Bardeen, and thank R. D. Blandford for drawing attention to reference 21. This research was supported by NASA grant NAG5-7012.
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