On the existence of global solutions for $T^3$-Gowdy spacetimes with stringy matter

Abstract

We show a global existence theorem for Einstein-matter equations of $T^3$-Gowdy symmetric spacetimes with stringy matter. The areal time coordinate is used. It is shown that this spacetime has a crushing singularity into the past. From these results we can show that the spacetime is foliated by compact hypersurfaces of constant mean curvature.

10 pages, to appear in Classical and Quantum Gravity

References in corpus (6)

• Analytic description of singularities in Gowdy spacetimes
• Theorems on existence and global dynamics for the Einstein equations
• On the Einstein-Vlasov system with hyperbolic symmetry
• Global Prescribed Mean Curvature foliations in cosmological spacetimes with matter, Part I
• Local Prescribed Mean Curvature foliations in cosmological spacetimes
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Cited by in corpus (7)

• Theorems on existence and global dynamics for the Einstein equations
• On the area of the symmetry orbits in $T^2$ symmetric spacetimes with Vlasov matter
• Mathematical General Relativity
• Open problems in mathematical physics
• Global existence problem in $T^3$-Gowdy symmetric IIB superstring cosmology
• On initial conditions and global existence for accelerating cosmologies from string theory
• Global properties of higher-dimensional cosmological spacetimes