Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special relativistic hydrodynamics with gravitation   The special relativistic hydrodynamics with weak gravity is hitherto unknown
in the literature. Whether such an asymmetric combination is possible was
unclear. Here, the hydrodynamic equations with Poisson-type gravity considering
fully relativistic velocity and pressure under the weak gravity and the
action-at-a-distance limit are consistently derived from Einstein's general
relativity. Analysis is made in the maximal slicing where the Poisson's
equation becomes much simpler than our previous study in the zero-shear gauge.
Also presented is the hydrodynamic equations in the first post-Newtonian
approximation, now under the {\it general} hypersurface condition. Our
formulation includes the anisotropic stress.

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The categories of this paper are: solv-int
18
The categories of this paper are: econ
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
8
The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
17
The categories of this paper are: q-fin