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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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Hauptverfasser: Erschfeld, Alaric (VerfasserIn) , Flörchinger, Stefan (VerfasserIn) , Rupprecht, Maximilian (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 16 September 2020
In: Physical review
Year: 2020, Jahrgang: 102, Heft: 6
ISSN:2470-0029
DOI:10.1103/PhysRevD.102.063520
Online-Zugang:Verlag, lizenzpflichtig, Volltext: https://doi.org/10.1103/PhysRevD.102.063520
Verlag, lizenzpflichtig, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.102.063520
Volltext
Verfasserangaben: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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