General relativistic nonideal fluid equations for dark matter from a truncated cumulant expansion
A new truncation scheme based on the cumulant expansion of the one-particle phase-space distribution function for dark matter particles is developed. Extending the method of moments in relativistic kinetic theory, we derive evolution equations which supplement the covariant conservation of the energ...
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| Main Authors: | , , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
16 September 2020
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| In: |
Physical review
Year: 2020, Volume: 102, Issue: 6 |
| ISSN: | 2470-0029 |
| DOI: | 10.1103/PhysRevD.102.063520 |
| Online Access: | Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.102.063520 Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.102.063520 |
| Author Notes: | Alaric Erschfeld, Stefan Floerchinger, and Maximilian Rupprecht |
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| 520 | |a A new truncation scheme based on the cumulant expansion of the one-particle phase-space distribution function for dark matter particles is developed. Extending the method of moments in relativistic kinetic theory, we derive evolution equations which supplement the covariant conservation of the energy-momentum tensor and particle number current. Truncating the cumulant expansion we obtain a closed, covariant and hyperbolic system of equations which can be used to model the evolution of a general relativistic nonideal fluid. As a working example we consider a Friedmann-Lemaître-Robertson-Walker cosmology with dynamic pressure and solve for the time evolution of the effective equation of state parameter. | ||
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