Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement entropy, the Einstein equation and the Sparling
  construction   We relate the recent derivation of the linearised Einstein equation on an AdS
background from holographic entanglement entropy arguments to the Sparling
construction: we derive the differential form whose exterior derivative gives
the Einstein equation from the Sparling formalism. We develop the study of
perturbations within the context of the Sparling formalism and find that the
Sparling form vanishes for linearised perturbations on flat space.

2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat