Gödel's Universe in a Supertube Shroud
Abstract
We demonstrate that certain supersymmetric Gödellike universe solutions of supergravity are not solutions of string theory. This is achieved by realizing that supertubes are Bogomol'nyiPrasadSommerfeld states in these spaces, and under certain conditions, when wrapping closed timelike curves, some worldvolume modes develop negative kinetic terms. Since these universes are homogeneous, this instability takes place everywhere in spacetime. We also construct a family of supergravity solutions which locally look like the Gödel universe inside a domain wall made out of supertubes, but have very different asymptotic structure. One can adjust the volume inside the domain wall so there will be no closed timelike curves, and then those spaces seem like perfectly good string backgrounds.
 Publication:

Physical Review Letters
 Pub Date:
 December 2003
 DOI:
 10.1103/PhysRevLett.91.231601
 arXiv:
 arXiv:hepth/0306057
 Bibcode:
 2003PhRvL..91w1601D
 Keywords:

 11.25.w;
 04.20.Gz;
 04.65.+e;
 11.27.+d;
 Strings and branes;
 Spacetime topology causal structure spinor structure;
 Supergravity;
 Extended classical solutions;
 cosmic strings domain walls texture;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 4 pages, revtex double column. v2: corrected the metric outside the domain wall