In the toroidal Kaluza–Klein case, the existence of a toroidal action leads to further restrictions [169];
for instance, for
and
, each connected component of the horizon has necessarily one of the
following topologies:
,
and
.
It should be noted that no asymptotically-flat or Kaluza–Klein black holes with lens-space topology of the horizon are known. Constructing a black lens, or establishing non-existence, appears to be a challenging problem.
http://www.livingreviews.org/lrr-2012-7 |
Living Rev. Relativity 15, (2012), 7
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