Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state $p = w\rho
General Relativity and Gravitation: Volume 44, Issue 6 (2012), Page 1433-1458 We systematically study the evolution of the Friedmann-Robertson-Walker (FRW) universe coupled with a cosmological constant $\Lambda$ and a perfect fluid that has the equation of state $p=w\rho$, where $p$ and $\rho$ denot...
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Language | English |
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04.05.2009
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Abstract | General Relativity and Gravitation: Volume 44, Issue 6 (2012),
Page 1433-1458 We systematically study the evolution of the Friedmann-Robertson-Walker (FRW)
universe coupled with a cosmological constant $\Lambda$ and a perfect fluid
that has the equation of state $p=w\rho$, where $p$ and $\rho$ denote,
respectively, the pressure and energy density of the fluid, and $w$ is an
arbitrary real constant. Depending on the specific values of $w,\; \Lambda$,
and the curvature $k$ of 3-dimensional space, we separate all of the solutions
into various cases. In each case the main properties of the evolution are given
in detail, including the periods of deceleration and/or acceleration, and the
existence of big bang, big crunch, and big rip singularities. In some cases,
errors in classification and interpretation appearing in standard textbooks
have been corrected. |
---|---|
AbstractList | General Relativity and Gravitation: Volume 44, Issue 6 (2012),
Page 1433-1458 We systematically study the evolution of the Friedmann-Robertson-Walker (FRW)
universe coupled with a cosmological constant $\Lambda$ and a perfect fluid
that has the equation of state $p=w\rho$, where $p$ and $\rho$ denote,
respectively, the pressure and energy density of the fluid, and $w$ is an
arbitrary real constant. Depending on the specific values of $w,\; \Lambda$,
and the curvature $k$ of 3-dimensional space, we separate all of the solutions
into various cases. In each case the main properties of the evolution are given
in detail, including the periods of deceleration and/or acceleration, and the
existence of big bang, big crunch, and big rip singularities. In some cases,
errors in classification and interpretation appearing in standard textbooks
have been corrected. |
Author | Huang, Yongqing Wu, Zhenbin Wang, Anzhong Ha, Te Benesh, G. A Ma, Qianyu Pechan, Kristen D Renner, Timothy J |
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BackLink | https://doi.org/10.48550/arXiv.0905.0396$$DView paper in arXiv https://doi.org/10.1007/s10714-012-1348-1$$DView published paper (Access to full text may be restricted) |
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Snippet | General Relativity and Gravitation: Volume 44, Issue 6 (2012),
Page 1433-1458 We systematically study the evolution of the Friedmann-Robertson-Walker (FRW)... |
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SubjectTerms | Physics - Cosmology and Nongalactic Astrophysics Physics - General Relativity and Quantum Cosmology Physics - Popular Physics |
Title | Classification of the FRW universe with a cosmological constant and a perfect fluid of the equation of state $p = w\rho |
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