Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum vacuum under mixed boundary conditions: the case for curved
  spacetime   Influence of gravity on the quantum vacuum of a massless minimally coupled
scalar field under Robin boundary conditions on parallel plates is
investigated. We introduce the detailed calculation of the volume energy for
the case the gravitational background is weak in its most general form for a
static spacetime. It founds that the quantum vacuum usually reacts to the
gravitational field by decreasing the Casimir energy. In addition, we find
sufficient conditions under which the Casimir force increases. Interestingly,
the first order perturbation corrections, are present in the obtained formula
for the volume energy. We show that for some specific choices of parameters,
the energy is independent of Robin coefficients. Consistency with the
literature is shown in some limiting cases and well-known examples are
presented for both an increase or decrease in the volume energy.

19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
2
The categories of this paper are: math
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph