Rotating Black Holes in Three-Dimensional Horava Gravity Revisited: New Aspects of Asymptotically Flat and De Sitter Cases. (arXiv:2008.06574v4 [hep-th] UPDATED)

Rotating Black Holes in Three-Dimensional Horava Gravity Revisited: New Aspects of Asymptotically Flat and De Sitter Cases. (arXiv:2008.06574v4 [hep-th] UPDATED)
<a href="http://arxiv.org/find/hep-th/1/au:+Park_M/0/1/0/all/0/1">Mu-In Park</a>

I consider rotating black hole solutions in three-dimensional Horava gravity
with z = 2 as a simpler set-up of the renormalizable quantum gravity `a la
Horava, Lifshitz, and DeWitt. The solutions have a curvature singularity at the
origin for a non-vanishing rotation parameter J, unlike the black holes in
three-dimensional Einstein gravity. For asymptotically anti-de Sitter space,
there are black hole event horizons as usual and the singularity is not naked,
in agreement with the cosmic censorship. For asymptotically flat or de Sitter
space, there are no conventional black hole horizons as in Einstein gravity,
other than the usual cosmological horizon for the latter case, so that the
singularity could be naked in Horava gravity. However, I show that, due to the
Lorentz-violating higher-derivative terms, the solutions have a peculiar black
hole horizon at the origin so that the singularity is not naked even without
the conventional black hole horizons in asymptotically flat or de Sitter case.
On the other hand, I note also that a new “cosmological” horizon exists even
for the flat case, contrary to the usual wisdom, due to combined effects of the
higher derivatives and the angular-momentum barrier. I study their unusual
black hole thermodynamics due to lack of the absolute horizons in the
Lorentz-violating gravity.

I consider rotating black hole solutions in three-dimensional Horava gravity
with z = 2 as a simpler set-up of the renormalizable quantum gravity `a la
Horava, Lifshitz, and DeWitt. The solutions have a curvature singularity at the
origin for a non-vanishing rotation parameter J, unlike the black holes in
three-dimensional Einstein gravity. For asymptotically anti-de Sitter space,
there are black hole event horizons as usual and the singularity is not naked,
in agreement with the cosmic censorship. For asymptotically flat or de Sitter
space, there are no conventional black hole horizons as in Einstein gravity,
other than the usual cosmological horizon for the latter case, so that the
singularity could be naked in Horava gravity. However, I show that, due to the
Lorentz-violating higher-derivative terms, the solutions have a peculiar black
hole horizon at the origin so that the singularity is not naked even without
the conventional black hole horizons in asymptotically flat or de Sitter case.
On the other hand, I note also that a new “cosmological” horizon exists even
for the flat case, contrary to the usual wisdom, due to combined effects of the
higher derivatives and the angular-momentum barrier. I study their unusual
black hole thermodynamics due to lack of the absolute horizons in the
Lorentz-violating gravity.

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