Dimensional Reduction of Gravity and Relation between Static States, Cosmologies and Waves

Details Dimensional Reduction of Gravity and Relation between Static States, Cosmologies and Waves Dimensional Reduction of Gravity and Relation between Static States, Cosmologies and Waves

2006-12-27

arxiv.org/abs/hep-th/0612258v2

Theor.Math.Phys.153:1709-1731,2007

Physics

High Energy Physics

High Energy Physics - Theory

28 pages, Appendix and some new material in Sections 2 and Section 4 has been added, misprints corrected and some editing has

Scientific paper

10.1007/s11232-007-0142-9

We introduce generalized dimensional reductions of an integrable 1+1-dimensional dilaton gravity coupled to matter down to one-dimensional static states (black holes in particular), cosmological models and waves. An unusual feature of these reductions is the fact that the wave solutions depend on two variables - space and time. They are obtained here both by reducing the moduli space (available due to complete integrability) and by a generalized separation of variables (applicable also to non integrable models and to higher dimensional theories). Among these new wave-like solutions we have found a class of solutions for which the matter fields are finite everywhere in space-time, including infinity. These considerations clearly demonstrate that a deep connection exists between static states, cosmologies and waves. We argue that it should exist in realistic higher-dimensional theories as well. Among other things we also briefly outline the relations existing betweenthe low-dimensional models that we have discussed hereand the realistic higher-dimensional ones. This paper develops further some ideas already present in our previous papers. We briefly reproduce here (without proof) their main results in a more concise form and give an important generalization.

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