English

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

General Relativity and Quantum Cosmology 2022-05-04 v1 Mathematical Physics Analysis of PDEs math.MP

Abstract

We show a global existence theorem for Einstein-matter equations of T3T^{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.

Keywords

Cite

@article{arxiv.gr-qc/0210088,
  title  = {On the existence of global solutions for $T^{3}$-Gowdy spacetimes with stringy matter},
  author = {Makoto Narita},
  journal= {arXiv preprint arXiv:gr-qc/0210088},
  year   = {2022}
}

Comments

10 pages, to appear in Classical and Quantum Gravity