Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modification of a Lie-algebra-based approach and its application to
  asymptotic symmetries on a Killing horizon   We develop a new approach to find asymptotic symmetries in general relativity
as a modification of the Lie-algebra-based approach proposed in T. Tomitsuka et
al. [Classical Quantum Gravity 38, 225007 (2021)]. Those authors proposed an
algorithmic protocol to investigate asymptotic symmetries. In particular, their
guiding principle helps us to find a non-vanishing charge that generates an
infinitesimal diffeomorphism. However, in order to check the integrability
condition for the charges, it is necessary to solve differential equations to
identify the integral curve of vector fields, which is usually quite hard. In
this paper, we provide a sufficient condition of the integrability condition
that can be checked without solving any differential equations, avoiding the
difficulties in the approach in the above reference. As a demonstration, we
investigate the asymptotic symmetries on a Killing horizon and find a new class
of asymptotic symmetries. In 4D spacetimes with a spherical Killing horizon, we
show that the algebra of the corresponding charges is a central extension of
the algebra of vector fields.

33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
18
The categories of this paper are: econ
1
The categories of this paper are: cs