ar X iv : g r - qc / 0 21 00 88 v 1 2 5 O ct 2 00 2 On the existence of global solutions for T 3 - Gowdy spacetimes with stringy matter
نویسنده
چکیده
We show a global existence theorem for Einstein-matter equations of T -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. PACS: 02.03.Jr, 04.20.DW , 04.20.EX, 98.80.HW Present address: Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Am Mühlenberg 1, 14476 Golm, Germany, E-mail: [email protected]
منابع مشابه
88 v 1 2 5 O ct 2 00 2 On the existence of global solutions for T 3 - Gowdy spacetimes with stringy matter
We show a global existence theorem for Einstein-matter equations of T -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. PACS: 02.03.Jr, 04.20.DW , 04.20.EX, 98.80.HW Present ...
متن کاملar X iv : g r - qc / 0 21 10 63 v 1 1 8 N ov 2 00 2 Existence of CMC and constant areal time foliations in T 2 symmetric spacetimes with Vlasov matter
The global structure of solutions of the Einstein equations coupled to the Vlasov equation is investigated in the presence of a twodimensional symmetry group. It is shown that there exist global CMC and areal time foliations. The proof is based on long-time existence theorems for the partial differential equations resulting from the EinsteinVlasov system when conformal or areal coordinates are ...
متن کاملar X iv : g r - qc / 0 50 80 08 v 1 1 A ug 2 00 5 Observables for the polarized Gowdy model
We give an explicit characterization of all functions on the phase space for the polarized Gowdy 3-torus spacetimes which have weakly vanishing Poisson brackets with the Hamiltonian and momentum constraint functions.
متن کاملar X iv : g r - qc / 0 31 00 75 v 1 1 5 O ct 2 00 3 BOUNDARIES ON SPACETIMES : AN OUTLINE
The causal boundary construction of Geroch, Kronheimer, and Penrose has some universal properties of importance for general studies of spacetimes, particularly when equipped with a topology derived from the causal structure. Properties of the causal boundary are detailed for spacetimes with spacelike boundaries, for multi-warped spacetimes, for static spacetimes, and for spacetimes with group a...
متن کاملar X iv : g r - qc / 0 10 90 11 v 1 4 S ep 2 00 1 Fuchsian analysis of S 2 × S 1 and S 3 Gowdy spacetimes
The Gowdy spacetimes are vacuum solutions of Einstein's equations with two commuting Killing vectors having compact spacelike orbits with T 3 , S 2 × S 1 or S 3 topology. In the case of T 3 topology, Kichenassamy and Rendall have found a family of singular solutions which are asymptotically velocity dominated by construction. In the case when the velocity is between zero and one, the solutions ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2002