General relativistic nonideal fluid equations for dark matter from a truncated cumulant expansion

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autorschaft

  • Alaric Erschfeld
  • Stefan Flörchinger
  • Maximilian Rupprecht

Externe Organisationen

  • Ruprecht-Karls-Universität Heidelberg
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Details

OriginalspracheEnglisch
Aufsatznummer063520
FachzeitschriftPhysical Review D
Jahrgang102
Ausgabenummer6
PublikationsstatusVeröffentlicht - 16 Sept. 2020
Extern publiziertJa

Abstract

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.

ASJC Scopus Sachgebiete

Zitieren

General relativistic nonideal fluid equations for dark matter from a truncated cumulant expansion. / Erschfeld, Alaric; Flörchinger, Stefan; Rupprecht, Maximilian.
in: Physical Review D, Jahrgang 102, Nr. 6, 063520, 16.09.2020.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Erschfeld A, Flörchinger S, Rupprecht M. General relativistic nonideal fluid equations for dark matter from a truncated cumulant expansion. Physical Review D. 2020 Sep 16;102(6):063520. doi: 10.1103/PhysRevD.102.063520
Erschfeld, Alaric ; Flörchinger, Stefan ; Rupprecht, Maximilian. / General relativistic nonideal fluid equations for dark matter from a truncated cumulant expansion. in: Physical Review D. 2020 ; Jahrgang 102, Nr. 6.
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abstract = "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-Lema{\^i}tre-Robertson-Walker cosmology with dynamic pressure and solve for the time evolution of the effective equation of state parameter.",
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