Mathematics – Mathematical Physics
Scientific paper
Mar 1973
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1973cmaph..34...53h&link_type=abstract
Communications in Mathematical Physics, Volume 34, Issue 1, pp.53-76
Mathematics
Mathematical Physics
3
Scientific paper
Using the formalism developed in the preceding paper, all axisymmetric stationary horizons are described. It is found that the bifurcate-type horizons (such as Schwarzschild) are as numerous as about four functions of one variable, while the extreme-type ones (such as extreme Kerr) only as about two functions of one variable. On the other hand, there is exactly one axisymmetric stationary space-time containing a given bifurcate-type horizon, in comparison to a whole family (at least as numerous as two functions of one variable) of such space-times for a given extreme-type one. The total mass m and angular momentum am of the corresponding black hole could in principle be computed from the invariants describing the bifurcate-type horizons, because the horizons determine their space-time uniquely, but a definite way of computation will probably be difficult to find. On the other hand, the Kerr-Newman-like parameters m and a are easily defined and computed for any extreme-type horizon, but their physical meaning remains so far obscure.
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