Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: First Law and a Variational Principle for Static Asymptotically
  Randall-Sundrum Black Holes   We give a new, intrinsic, mass definition for spacetimes asymptotic to the
Randall-Sundrum braneworld models, RS1 and RS2. For this mass, we prove a first
law for static black holes, including variations of the bulk cosmological
constant, brane tensions, and RS1 interbrane distance. Our first law defines a
thermodynamic volume and a gravitational tension that are braneworld analogs of
the corresponding quantities in asymptotically AdS black hole spacetimes and
asymptotically flat compactifications, respectively. We also prove the
following related variational principle for asymptotically RS black holes:
instantaneously static initial data that extremizes the mass yields a static
black hole, for variations at fixed apparent horizon area, AdS curvature
length, cosmological constant, brane tensions, and RS brane warp factors. This
variational principle is valid with either two branes (RS1) or one brane (RS2),
and is applicable to variational trial solutions.

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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: adap-org
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The categories of this paper are: math
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
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The categories of this paper are: hep-ex
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph