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arXiv · 1610.05662

Special relativistic hydrodynamics with gravitation

Jai-chan Hwang·Hyerim Noh
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Abstract

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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Jai-chan Hwang, Hyerim Noh. 2016-10-17. Special relativistic hydrodynamics with gravitation. https://doi.org/10.3847/1538-4357%2F833%2F2%2F180

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