On the Area of the Symmetry Orbits of the Einstein-Vlasov-Scalar Field System with Plane and Hyperbolic Symmetry
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H. Andréasson, Global foliations of matter spacetimes with Gowdy symmetry, Commun. Math. Phys. 206 (1999), 337-366.
H. Andréasson, G. Rein and A.D. Rendall, On the Einstein-Vlasov system with hyperbolic symmetry, Math. Proc. Camb. Phil. Soc. 124 (2003), 529-549.
J. Ehlers, A survey of General Relativity Theory Astrophysics and cosmology, W. Israel (ed.), 1-125, Reidel, Dordrecht, 1973.
A.D. Rendall, Crushing singularities in spacetimes with spherical, plane and hyperbolic symmetry, Class. Quantum Grav. 12 (1995), 1517-1533.
J. Smulevici, On the area of the symmetry orbits of cosmological spacetimes with toroidal or hyperbolic symmetry, Analysis & PDE 4 (2) (2011), 191-245.
D. Tegankong, N. Noutchegueme and A.D. Rendall, Local existence and continuation criteria for solutions of the Einstein-Vlasov-scalar field system with surface symmetry, Journ. Hyperb. Diff. Eq. 1(4) (2004), 691-724.
D. Tegankong, Global existence and asymptotic behaviour for solutions of the Einstein-Vlasov-scalar field system with surface symmetry, Class. Quantum Grav. 22 (2005), 2381–-2391.
D. Tegankong and A.D. Rendall, On the nature of initial singularities for solutions of the Einstein-Vlasov-scalar field system with surface symmetry, Math. Proc. Camb. Phil. Soc. 141 (2006), 547-562.
M. Weaver, On the area of the symmetry orbits in $T^2$ symmetric spacetimes with Vlasov matter, Class. Quantum Grav. 21 (2004), 1079.
DOI: http://dx.doi.org/10.26713%2Fjims.v5i3.219
eISSN 0975-5748; pISSN 0974-875X
