Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of LRS Bianchi type I Spacetimes via Conformal Ricci
  Collineations   In this paper, we present a complete classification of Locally Rotationally
Symmetric (LRS) Bianchi type I spacetimes according to their Conformal Ricci
Collineations (CRCs). When the Ricci tensor is non-degenerate, a general form
of the vector field generating CRCs is found, subject to some integrability
conditions. Solving the integrability conditions in different cases, it is
found that the LRS Bianchi type I spacetimes admit 7, 10, 11 or 15- dimensional
Lie algebra of CRCs for the choice of non-degenerate Ricci tensor. Moreover, it
is found that these spacetimes admit infinite number of CRCs when the Ricci
tensor is degenerate. Some examples of perfect fluid LRS Bianchi type I
spacetime metrics are provided admitting non trivial CRCs.

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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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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: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
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The categories of this paper are: stat
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The categories of this paper are: bayes-an