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Journal Article

Global properties of higher-dimensional cosmological spacetimes

MPS-Authors

Narita,  Makoto
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Narita, M. (2004). Global properties of higher-dimensional cosmological spacetimes. Classical and Quantum Gravity, 21, 2071-2088.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-5116-5
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 $D\geq 4$ 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.