Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotically anti-de Sitter spacetimes and conserved quantities in
  higher curvature gravitational theories   We consider $n$-dimensional asymptotically anti-de Sitter spacetimes in
higher curvature gravitational theories with $n \geq 4$, by employing the
conformal completion technique. We first argue that a condition on the Ricci
tensor should be supplemented to define an asymptotically anti-de Sitter
spacetime in higher curvature gravitational theories and propose an alternative
definition of an asymptotically anti-de Sitter spacetime. Based on that
definition, we then derive a conservation law of the gravitational field and
construct conserved quantities in two classes of higher curvature gravitational
theories. We also show that these conserved quantities satisfy a balance
equation in the same sense as in Einstein gravity and that they reproduce the
results derived elsewhere. These conserved quantities are shown to be expressed
as an integral of the electric part of the Weyl tensor alone and hence they
vanish identically in the pure anti-de Sitter spacetime as in the case of
Einstein gravity.

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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: eess
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: astro-ph