SPECIAL RELATIVISTIC HYDRODYNAMICS WITH GRAVITATION
ABSTRACT Special relativistic hydrodynamics with weak gravity has hitherto been unknown in the literature. Whether such an asymmetric combination is possible has been unclear. Here, the hydrodynamic equations with Poisson-type gravity, considering fully relativistic velocity and pressure under the w...
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| Veröffentlicht in: | The Astrophysical journal 2016-12, Vol.833 (2), p.180 |
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| creator | Hwang, Jai-chan Noh, Hyerim |
| description | ABSTRACT Special relativistic hydrodynamics with weak gravity has hitherto been unknown in the literature. Whether such an asymmetric combination is possible has been 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 theory of general relativity. An 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 general hypersurface condition. Our formulation includes the anisotropic stress. |
| doi_str_mv | 10.3847/1538-4357/833/2/180 |
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| ispartof | The Astrophysical journal, 2016-12, Vol.833 (2), p.180 |
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| subjects | ANISOTROPY APPROXIMATIONS Astrophysics ASTROPHYSICS, COSMOLOGY AND ASTRONOMY ASYMMETRY Computational fluid dynamics DISTANCE Fluid flow Fluid mechanics GENERAL RELATIVITY THEORY GRAVITATION Hydrodynamic equations HYDRODYNAMICS Hyperspaces Mathematical analysis POISSON EQUATION Relativism Relativistic effects relativistic processes RELATIVISTIC RANGE Relativistic velocity Relativity SHEAR Slicing STRESSES VELOCITY |
| title | SPECIAL RELATIVISTIC HYDRODYNAMICS WITH GRAVITATION |
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