1997/10/31 by K. A. Bronnikov
Physics and Astronomy · #hep-th #gr-qc
published as Grav.Cosmol. 4 (1998) 49-56 · 8 pages, Latex. Minor errors corrected, proof of the existence of block-orthogonal solutions rewritten, 1 reference added
arxiv created 1999/12/12 · arxiv updated 2009/11/30
Multidimensional cosmological, static spherically symmetric and Euclidean configurations are described in a unified way for gravity interacting with several dilatonic fields and antisymmetric forms, associated with electric and magnetic p-branes. Exact solutions are obtained when certain vectors, built from the input parameters of the model, are either orthogonal in the minisuperspace, or form mutually orthogonal subsystems. Some properties of black-hole solutions are indicated, in particular, a no-hair-type theorem and restrictions emerging in models with multiple times. From the non-existence of Lorentzian wormholes, a universal restriction is obtained, applicable to orthogonal or block-orthogonal subsystems of any p-brane systems. Euclidean wormhole solutions are found, their actions and radii are explicitly calculated.