Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noether Symmetries of Some Homogeneous Universe Models in Curvature
  Corrected Scalar-Tensor Gravity   We explore Noether gauge symmetries of FRW and Bianchi I universe models for
perfect fluid in scalar-tensor gravity with extra term $R^{-1}$ as curvature
correction. Noether symmetry approach can be used to fix the form of coupling
function $\omega(\phi)$ and the field potential $V(\phi)$. It is shown that for
both models, the Noether symmetries, the gauge function as well as the
conserved quantity, i.e., the integral of motion exist for the respective point
like Lagrangians. We determine the form of coupling function as well as the
field potential in each case. Finally, we investigate solutions through scaling
or dilatational symmetries for Bianchi I universe model without curvature
correction and discuss its cosmological implications.

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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
3
The categories of this paper are: physics
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn