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General relativistic Boltzmann equation, II: Manifestly covariant treatment

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Title: General relativistic Boltzmann equation, II: Manifestly covariant treatment
Authors: Debbasch, F.1 fabrice.debbasch@gmail.com, van Leeuwen, W.A.2
Source: Physica A. May2009, Vol. 388 Issue 9, p1818-1834. 17p.
Subjects: Transport theory, General relativity (Physics), Distribution (Probability theory), Statistical physics, Mathematical statistics
Abstract: Abstract: In a preceding article we presented a general relativistic treatment of the derivation of the Boltzmann equation. The four-momenta occurring in this formalism were all on-shell four-momenta, verifying the mass-shell restriction . Due to this restriction, the resulting Boltzmann equation, although covariant, turned out to be not manifestly covariant. In the present article we switch from mass-shell momenta to off-shell momenta, and thereby arrive at a Boltzmann equation that is manifestly covariant. [Copyright &y& Elsevier]
Copyright of Physica A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 36769790
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
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  Data: General relativistic Boltzmann equation, II: Manifestly covariant treatment
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  Data: Abstract: In a preceding article we presented a general relativistic treatment of the derivation of the Boltzmann equation. The four-momenta occurring in this formalism were all on-shell four-momenta, verifying the mass-shell restriction . Due to this restriction, the resulting Boltzmann equation, although covariant, turned out to be not manifestly covariant. In the present article we switch from mass-shell momenta to off-shell momenta, and thereby arrive at a Boltzmann equation that is manifestly covariant. [Copyright &y& Elsevier]
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  Data: <i>Copyright of Physica A is the property of Elsevier B.V. and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1016/j.physa.2009.01.009
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      – SubjectFull: Distribution (Probability theory)
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      – SubjectFull: Statistical physics
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