Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ladder Symmetries of Black Holes: Implications for Love Numbers and
  No-Hair Theorems   It is well known that asymptotically flat black holes in general relativity
have a vanishing static, conservative tidal response. We show that this is a
result of linearly realized symmetries governing static (spin 0,1,2)
perturbations around black holes. The symmetries have a geometric origin: in
the scalar case, they arise from the (E)AdS isometries of a dimensionally
reduced black hole spacetime. Underlying the symmetries is a ladder structure
which can be used to construct the full tower of solutions, and derive their
general properties: (1) solutions that decay with radius spontaneously break
the symmetries, and must diverge at the horizon; (2) solutions regular at the
horizon respect the symmetries, and take the form of a finite polynomial that
grows with radius. Taken together, these two properties imply that static
response coefficients -- and in particular Love numbers -- vanish. Moreover,
property (1) is consistent with the absence of black holes with linear
(perturbative) hair. We also discuss the manifestation of these symmetries in
the effective point particle description of a black hole, showing explicitly
that for scalar probes the worldline couplings associated with a non-trivial
tidal response and scalar hair must vanish in order for the symmetries to be
preserved.

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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ph
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The categories of this paper are: math
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The categories of this paper are: physics
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The categories of this paper are: hep-lat
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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: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex