Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General relativistic smoothed particle hydrodynamics   We present a method for general relativistic smoothed particle hydrodynamics
(GRSPH), based on an entropy-conservative form of the general relativistic
hydrodynamic equations for a perfect fluid. We aim to replace approximate
treatments of general relativity in current SPH simulations of tidal disruption
events and accretion discs. We develop an improved shock capturing formulation
that distinguishes between shock viscosity and conductivity in relativity. We
also describe a new Hamiltonian time integration algorithm for relativistic
orbital dynamics and GRSPH. Our method correctly captures both Einstein and
spin-induced precession around black holes. We benchmark our scheme in 1D and
3D against mildly and ultra relativistic shock tubes, exact solutions for
epicyclic and vertical oscillation frequencies, and Bondi accretion. We assume
fixed background metrics (Minkowski, Schwarzschild and Kerr in Cartesian
Boyer-Lindquist coordinates) but the method lays the foundation for future
direct coupling with numerical relativity.

12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph