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Global properties of higher-dimensional cosmological spacetimes | Makoto Narita
; | Date: |
19 Mar 2004 | Journal: | Class.Quant.Grav. 21 (2004) 2071-2088 | Subject: | General Relativity and Quantum Cosmology; Analysis of PDEs; Mathematical Physics | gr-qc hep-th math-ph math.AP math.MP | Abstract: | We study global existence problems and asymptotic behavior of higher-dimensional inhomogeneous spacetimes with a compact Cauchy surface in the Einstein-Maxwell-dilaton (EMD) system. Spacelike $T^{D-2}$-symmetry is assumed, where $Dgeq 4$ is spacetime dimension. The system of the evolution equations of the EMD equations in the areal time coordinate is reduced to a wave map system, and a global existence theorem for the system is shown. As a corollary of this theorem, a global existence theorem in the constant mean curvature time coordinate is obtained. Finally, for vacuum Einstein gravity in arbitrary dimension, we show existence theorems of asymptotically velocity-terms dominated singularities in the both cases which free functions are analytic and smooth. | Source: | arXiv, gr-qc/0403083 | Services: | Forum | Review | PDF | Favorites |
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