Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Avoidance of Singularity and Global Non-Conservation of Energy in
  General Relativity   We show that the singularity in the General Theory of Relativity (GTR) is the
expression of a non-Machian feature. It can be avoided with a scale-invariant
dynamical theory, a property lacking in GTR. It is further argued that the
global non-conservation of energy in GTR also results from the lack of
scale-invariance and the field formulation presented by several authors can
only resolve the problem in part. Assuming the global energy conservation, we
propose a negative energy density component with positive equation of state
that can drive the late-time acceleration in the universe, while the positive
component confines to smaller scales.

1
The categories of this paper are: cs
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg