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  Mechanics and kinetics in the Friedmann-Lemaître-Robertson-Walker space-times

Kelner, S. R., Prosekin, A. Y., & Aharonian, F. A. (2011). Mechanics and kinetics in the Friedmann-Lemaître-Robertson-Walker space-times. Physical Review D, 84(4): 044016, pp. 1-13. doi:10.1103/PhysRevD.84.044016.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-03BC-1 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-03BD-0
Genre: Journal Article

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1105.2304 (Preprint), 258KB
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 Creators:
Kelner, Stanislav R.1, Author           
Prosekin, A. Yu.1, Author
Aharonian, F. A.1, 2, Author
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1Division Prof. Dr. Werner Hofmann, MPI for Nuclear Physics, Max Planck Society, ou_904550              
2Dublin Institute for Advanced Studies, 31 Fitzwilliam Place, Dublin 2, Ireland, ou_persistent22              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc,Astrophysics, Cosmology and Extragalactic Astrophysics, astro-ph.CO
 Abstract: Using the standard canonical formalism, the equations of mechanics and kinetics in the Friedmann-Lemaitre-Robertson-Walker (FLRW) space-times in Cartesian coordinates have been obtained. The transformation law of the generalized momentum under the shift of the origin of the coordinate system has been found, and the form invariance of the Hamiltonian function relative to the shift transformation has been proved. The general solution of the collisionless Boltzmann equation has been found. In the case of the homogeneous distribution the solutions of the kinetic equation for several simple, but important for applications, cases have been obtained.

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 Dates: 2011-05-112011-08-04
 Publication Status: Issued
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 Rev. Type: Peer
 Identifiers: arXiv: 1105.2304
DOI: 10.1103/PhysRevD.84.044016
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 84 (4) Sequence Number: 044016 Start / End Page: 1 - 13 Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258