Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coupled Oscillator Model for Nonlinear Gravitational Perturbations   Motivated by the gravity/fluid correspondence, we introduce a new method for
characterizing nonlinear gravitational interactions. Namely we map the
nonlinear perturbative form of the Einstein equation to the equations of motion
of a collection of nonlinearly-coupled harmonic oscillators. These oscillators
correspond to the quasinormal or normal modes of the background spacetime. We
demonstrate the mechanics and the utility of this formalism within the context
of perturbed asymptotically anti-de Sitter black brane spacetimes. We confirm
in this case that the boundary fluid dynamics are equivalent to those of the
hydrodynamic quasinormal modes of the bulk spacetime. We expect this formalism
to remain valid in more general spacetimes, including those without a fluid
dual. In other words, although borne out of the gravity/fluid correspondence,
the formalism is fully independent and it has a much wider range of
applicability. In particular, as this formalism inspires an especially
transparent physical intuition, we expect its introduction to simplify the
often highly technical analytical exploration of nonlinear gravitational
dynamics.

25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
35
The categories of this paper are: mtrl-th