Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified f(R) gravity consistent with realistic cosmology: from matter
  dominated epoch to dark energy universe   We develop the general scheme for modified $f(R)$ gravity reconstruction from
any realistic FRW cosmology. We formulate several versions of modified gravity
compatible with Solar System tests where the following sequence of cosmological
epochs occurs: a. matter dominated phase (with or without usual matter),
transition from decceleration to acceleration, accelerating epoch consistent
with recent WMAP data b. $\Lambda$CDM cosmology without cosmological constant.
As a rule, such modified gravities are expressed implicitly (in terms of
special functions) with late-time asymptotics of known type (for instance, the
model with negative and positive powers of curvature). In the alternative
approach, it is demonstrated that even simple versions of modified gravity may
lead to the unification of matter dominated and accelerated phases at the price
of the introduction of compensating dark energy.

24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an