Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New effective coupled $F(^{(4)}\!R,\varphi)$ modified gravity from
  $f(^{(5)}\!R)$ gravity in five dimensions   We obtain a new kind of $F(^{(4)}\!R,\varphi)$ modified gravity theory as an
effective four-dimensional (4D) theory derived from $f(^{(5)}\!R)$ gravity in
five dimensions (5D). This new theory exhibits a different matter coupling than
the one in BBHL theory. We show that the field equations of the Wesson's
induced matter theory and of some braneworld scenarios can be obtained as
maximally symmetric solutions of the $f(^{(5)}\!R)$ theory. We found criteria
for the Goldov-Kawasaki instabilities for both the $f(^{(5)}\!R)$ and the
$F(^{(4)}\!R,\varphi)$ theories. We demonstrate that under certain conditions
imposed on the 5D geometry it is possible to interpret the
$F(^{(4)}\!R,\varphi)$ theory as a modified gravity theory with dynamical
coefficients, making this new theory a viable candidate to address the present
accelerating cosmic expansion issue.

36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
1
The categories of this paper are: cs