Multidimensional Classical and Quantum Cosmology with Intersecting p-branes
نویسنده
چکیده
Multidimensional cosmological model describing the evolution of (n + 1) Einstein spaces in the theory with several scalar fields and forms is considered. When a (electro-magnetic composite) p-brane Ansatz is adopted the field equations are reduced to the equations for Toda-like system. The Wheeler–De Witt equation is obtained. In the case when n ”internal” spaces are Ricci-flat, one space M0 has a non-zero curvature, and all p-branes do not ”live” in M0, the classical and quantum solutions are obtained if certain orthogonality relations on parameters are imposed. Spherically-symmetric solutions with intersecting non-extremal p-branes are singled out. A non-orthogonal generalization of intersection rules corresponding to (open, closed) Toda lattices is obtained. A chain of bosonic D ≥ 11 models (that may be related to hypothetical higher dimensional supergravities and F -theories) is suggested. PACS number(s): 04.50.+h, 98.80.Hw, 04.60.Kz
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