Integrable Multidimensional Classical and Quantum Cosmology for Intersecting p-branes
广义相对论与量子宇宙学
2007-05-23 v1
摘要
Multidimensional cosmological model describing the evolution of one Einstein space of non-zero curvature and n Ricci-flat internal spaces is considered. The action contains several dilatonic scalar fields and antisymmetric forms. When forms are chosen to be proportional of volume forms of p-brane submanifolds of internal space manifold, the Toda-like Lagrange representation is obtained. Wheeler-De Witt equation for the model is presented. The exact solutions in classical and quantum cases are obtained when dimensions of p-branes and dilatonic couplings obey some orthogonality conditions.
引用
@article{arxiv.gr-qc/9708031,
title = {Integrable Multidimensional Classical and Quantum Cosmology for Intersecting p-branes},
author = {M. A. Grebeniuk and V. D. Ivashchuk and V. N. Melnikov},
journal= {arXiv preprint arXiv:gr-qc/9708031},
year = {2007}
}
备注
10 pages, Latex., Submit. to Phys. Lett. B