Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Massive spin-2 particles in a curved background via a nonsymmetric
  tensor   Massive spin-2 particles has been a subject of great interest in current
research. If the graviton has a small mass, the gravitational force at large
distances decreases more rapidly, which could contribute to explain the
accelerated expansion of the universe. The massive spin-2 particles are
commonly described by the known Fierz-Pauli action which is formulated in terms
of a symmetric tensor $h_{\mu\nu}=h_{\nu\mu}$. However, the Fierz-Pauli theory
is not the only possible description of massive spin-2 particles via a rank-2
tensor. There are other two families of models $\mathcal{L}(a_1)$ and
$\mathcal{L}_{nFP}(c)$, where $a_1$ and $c$ are real arbitrary parameters,
which describe massive particles of spin-2 in the flat space via a nonsymmetric
tensor $e_{\mu\nu}\neq e_{\nu\mu}$. In the present work we derive Lagrangian
constraints stemming from $\mathcal{L}(a_1)$ and $\mathcal{L}_{nFP}(c)$ in
curved backgrounds with nonminimal couplings which are analytic functions of
$m^2$. We show that the constraints lead to a correct counting of degrees of
freedom if nonminimal terms are included with fine tuned coefficients and the
background space is of the Einstein type, very much like the Fierz-Pauli case.
We also examine the existence of local symmetries.

1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
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
4
The categories of this paper are: cond-mat