Shear-free perfect fluids with a γ-law equation of state

Carminati, John 2015, Shear-free perfect fluids with a γ-law equation of state, General relativity and gravitation, vol. 47, no. 4, Article Number : 45, pp. 1-10, doi: 10.1007/s10714-015-1887-3.

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Title Shear-free perfect fluids with a γ-law equation of state
Author(s) Carminati, John
Journal name General relativity and gravitation
Volume number 47
Issue number 4
Season Article Number : 45
Start page 1
End page 10
Total pages 10
Publisher Springer
Place of publication Berlin, Germany
Publication date 2015-04
ISSN 0001-7701
Keyword(s) Science & Technology
Physical Sciences
Astronomy & Astrophysics
Physics, Multidisciplinary
Physics, Particles & Fields
Shear-free relativistic fluids
Gamma law
Summary  We investigate all shear-free perfect fluid solutions of the Einstein field equations where the pressure and energy density satisfy a (Formula presented.)-law equation of state with (Formula presented.). We prove that such a fluid is either non rotating or non expanding. As a consequence, it follows by combining our result with those of Collins and Wainwright that any such shear-free perfect fluid which models either an expand universe or a collapsing star must in fact be a Friedmann–Robertson–Walker spacetime.
Language eng
DOI 10.1007/s10714-015-1887-3
Field of Research 0105 Mathematical Physics
0206 Quantum Physics
0201 Astronomical And Space Sciences
010504 Mathematical Aspects of General Relativity
010207 Theoretical and Applied Mechanics
Socio Economic Objective 970101 Expanding Knowledge in the Mathematical Sciences
HERDC Research category C1 Refereed article in a scholarly journal
ERA Research output type C Journal article
Copyright notice ©2015, Springer
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