Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mining the Geodesic Equation for Scattering Data   The geodesic equation encodes test-particle dynamics at arbitrary
gravitational coupling, hence retaining all orders in the post-Minkowskian (PM)
expansion. Here we explore what geodesic motion can tell us about dynamical
scattering in the presence of perturbatively small effects such as tidal
distortion and higher derivative corrections to general relativity. We derive
an algebraic map between the perturbed geodesic equation and the leading PM
scattering amplitude at arbitrary mass ratio. As examples, we compute formulas
for amplitudes and isotropic gauge Hamiltonians for certain infinite classes of
tidal operators such as electric or magnetic Weyl to any power, and for higher
derivative corrections to gravitationally interacting bodies with or without
electric charge. Finally, we present a general method for calculating
closed-form expressions for amplitudes and isotropic gauge Hamiltonians in the
test-particle limit at all orders in the PM expansion.

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The categories of this paper are: cond-mat
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The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: stat
32
The categories of this paper are: atom-ph
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The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
21
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: q-bio