Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: High-dimensional Lifshitz-type spacetimes, universal horizons and black
  holes in Ho\v{r}ava-Lifshitz gravity   In this paper, we present all $[(d+1)+1]$-dimensional static diagonal vacuum
solutions of the non-projectable Ho\v{r}ava-Lifshitz gravity in the IR limit,
and show that they give rise to very rich Lifshitz-type structures, depending
on the choice of the free parameters of the solutions. These include the
Lifshitz spacetimes with or without hyperscaling violation, Lifshitz solitons,
and black holes. Remarkably, even the theory breaks explicitly the Lorentz
symmetry and allows generically instantaneous propagations, universal horizons
still exist, which serve as one-way membranes for signals with any large
velocities. In particular, particles even with infinitely large velocities
would just move around on these boundaries and cannot escape to infinity.
Another remarkable feature appearing in the Lifshitz-type spacetimes is that
the dynamical exponent $z$ can take its values only in the ranges $1 \le z < 2$
for $d \ge 3$ and $1 \le z <\infty$ for $d = 2$, due to the stability and
ghost-free conditions of the theory.

27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an