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August 2011 Plane-symmetric spacetimes with positive cosmological constant: The case of stiff fluids
Philippe G. LeFloch, Sophonie B. Tchapnda
Adv. Theor. Math. Phys. 15(4): 1115-1140 (August 2011).


We consider plane-symmetric spacetimes satisfying Einstein’s field equations with positive cosmological constant, when the matter is a fluid whose pressure is equal to its mass-energy density (i.e., a so-called stiff fluid). We study the initial-value problem for the associated Einstein equations and establish a global existence result. The late-time asymptotics of solutions is also rigorously derived, and we conclude that the spacetime approaches the de Sitter spacetime while the matter disperses asymptotically. A technical difficulty dealt with here lies in the fact that solutions may contain vacuum states as well as velocities approaching the speed of light, both possibilities leading to singular behavior in the evolution equations.


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Philippe G. LeFloch. Sophonie B. Tchapnda. "Plane-symmetric spacetimes with positive cosmological constant: The case of stiff fluids." Adv. Theor. Math. Phys. 15 (4) 1115 - 1140, August 2011.


Published: August 2011
First available in Project Euclid: 11 June 2012

zbMATH: 1247.83012
MathSciNet: MR2929684

Rights: Copyright © 2011 International Press of Boston

Vol.15 • No. 4 • August 2011
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