Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Testing the strong equivalence principle with the triple pulsar PSR
  J0337+1715   Three conceptually different masses appear in equations of motion for objects
under gravity, namely, the inertial mass, $m_{\cal I}$, the passive
gravitational mass, $m_{\cal P}$, and the active gravitational mass, $m_{\cal
A}$. It is assumed that, for any objects, $m_{\cal I} = m_{\cal P} = m_{\cal
A}$ in the Newtonian gravity, and $m_{\cal I} = m_{\cal P}$ in the Einsteinian
gravity, oblivious to objects' sophisticated internal structure. Empirical
examination of the equivalence probes deep into gravity theories. We study the
possibility of carrying out new tests based on pulsar timing of the stellar
triple system, PSR J0337+1715. Various machine-precision three-body simulations
are performed, from which, the equivalence-violating parameters are extracted
with Markov chain Monte Carlo sampling that takes full correlations into
account. We show that the difference in masses could be probed to
$3\times10^{-8}$, improving the current constraints from lunar laser ranging on
the post-Newtonian parameters that govern violations of $m_{\cal P}=m_{\cal I}$
and $m_{\cal A}=m_{\cal P}$ by thousands and millions, respectively. The test
of $m_{\cal P}=m_{\cal A}$ would represent the first test of Newton's third law
with compact objects.

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The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
2
The categories of this paper are: math