Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum Force in Modified Gravity Theories   We investigate the existence and nature of classical maximum force bound
between two black holes with touching horizons. Besides general relativity, the
maximum force bound is independent of black hole masses only in Moffat's
theory, Brans Dicke theory (which is the same as Einstein's for vacuum) and the
higher dimensional generalization of Einstein's theory, pure Lovelock gravity
which is characterised by having single $n$th order term in Lovelock polynomial
without sum over lower orders in the action. Further if the bound is to exist
in higher dimensions and is entirely in terms of the velocity of light and the
gravitational constant, it has uniquely to be pure Lovelock gravity. In pure
Lovelock gravity, the maximum force bound exists in all $3n$-space dimensions
and has the value, $c^4/4G_n$ where $G_n$ is the corresponding gravitational
constant. The absence of mass dependence in the maximum force bound may have
relevance for the formation of naked singularities.

15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
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The categories of this paper are: cmp-lg
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat