Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From the Komar Mass and Entropic Force Scenarios to the Einstein Field
  Equations on the Ads Brane   By bearing the Komar's definition for the mass, together with the entropic
origin of gravity in mind, we find the Einstein field equations in
$(n+1$)-dimensional spacetime. Then, by reflecting the ($4+1$)-dimensional
Einstein equations on the ($3+1$)-hypersurface, we get the Einstein equations
onto the $3$-brane. The corresponding energy conditions are also addressed.
Since the higher dimensional considerations modify the Einstein field equations
in the ($3+1$)-dimensions and thus the energy-momentum tensor, we get a
relation for the Komar mass on the brane. In addition, the strongness of this
relation compared with existing definition for the Komar mass on the brane is
addressed.

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The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph