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  Isotropic Solutions of the Einstein-Liouville Equations

Ehlers, J., Geren, P., & Sachs, R. K. (1968). Isotropic Solutions of the Einstein-Liouville Equations. Journal of Mathematical Physics, 9(9), 1344-1349. doi:10.1063/1.1664720.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5EFE-8 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5EFF-6
Genre: Journal Article

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336788.pdf (Publisher version), 419KB
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 Creators:
Ehlers, Jürgen1, Author
Geren, P., Author
Sachs, Rainer K., Author
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: The gravitational field generated by a gas whose one-particle distribution function obeys the Liouville equation is examined under the following assumptions: First, the distribution is locally isotropic in momentum space with respect to some world-velocity field; second, if the particles have rest-mass zero, the gas is irrotational. It is shown that the model is then either stationary or a Robertson-Walker model. The time dependence of the radius in the Robertson-Walker models is given in terms of integrals containing the distribution function.

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 Dates: 1968-09
 Publication Status: Issued
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 Identifiers: eDoc: 336788
DOI: 10.1063/1.1664720
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Title: Journal of Mathematical Physics
  Alternative Title : J. Math. Phys.
Source Genre: Journal
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Pages: - Volume / Issue: 9 (9) Sequence Number: - Start / End Page: 1344 - 1349 Identifier: ISSN: 1089-7658