Weak cosmic censorship conjecture in the pure Lovelock gravity. (arXiv:2008.04092v2 [gr-qc] UPDATED)
<a href="http://arxiv.org/find/gr-qc/1/au:+Shaymatov_S/0/1/0/all/0/1">Sanjar Shaymatov</a>, <a href="http://arxiv.org/find/gr-qc/1/au:+Dadhich_N/0/1/0/all/0/1">Naresh Dadhich</a>
It is well known that a rotating black hole in four dimension could be
overspun by linear order test particle accretion which however always gets
overturned when non-linear perturbations are included. It turns out that in the
Einstein gravity, repulsion due to rotation dominates over attraction due to
mass in dimensions, $D>5$, and consequently black hole cannot be overspun even
for linear order accretion. For the pure Lovelock rotating black hole, this
dimensional threshold is $D>4N+1$ where $N$ is degree of single $N$th order
term in the Lovelock polynomial in the action. Thus the pure Lovelock rotating
black holes always obey the weak cosmic censorship conjecture (WCCC) in all
dimensions greater than $4N+1$. Since overall gravity being repulsive beyond
this dimensional threshold, how is rotating black hole then formed there?
It is well known that a rotating black hole in four dimension could be
overspun by linear order test particle accretion which however always gets
overturned when non-linear perturbations are included. It turns out that in the
Einstein gravity, repulsion due to rotation dominates over attraction due to
mass in dimensions, $D>5$, and consequently black hole cannot be overspun even
for linear order accretion. For the pure Lovelock rotating black hole, this
dimensional threshold is $D>4N+1$ where $N$ is degree of single $N$th order
term in the Lovelock polynomial in the action. Thus the pure Lovelock rotating
black holes always obey the weak cosmic censorship conjecture (WCCC) in all
dimensions greater than $4N+1$. Since overall gravity being repulsive beyond
this dimensional threshold, how is rotating black hole then formed there?
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