Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exploring tidal effects of coalescing binary neutron stars in numerical
  relativity II: Longterm simulations   We perform new longterm (15-16 orbits) simulations of coalescing binary
neutron stars in numerical relativity using an updated Einstein's equation
solver, employing low-eccentricity initial data, and modeling the neutron stars
by a piecewise polytropic equation of state. A convergence study shows that our
new results converge more rapidly than the third order and using the determined
convergence order, we construct an extrapolated waveform for which the
estimated total phase error should be less than 1 radian. We then compare the
extrapolated waveforms with those calculated by the latest effective-one-body
(EOB) formalism in which the so-called tidal deformability, higher
post-Newtonian corrections, and gravitational self-force effects are taken into
account. We show that for a binary of compact neutron stars with their radius
11.1 km, the waveform by the EOB formalism agrees quite well with the numerical
waveform so that the total phase error is smaller than 1 radian for the total
phase of $\sim 200$ radian up to the merger. By contrast, for a binary of less
compact neutron stars with their radius 13.6 km, the EOB and numerical
waveforms disagree with each other in the last few wave cycles, resulting in
the total phase error of $\sim 3$ radian.

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The categories of this paper are: math
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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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: bayes-an
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con