Composite p-branes on Product of Einstein Spaces
نویسنده
چکیده
A multidimensional gravitational model with several scalar fields, fields of forms and cosmological constant is considered. When scalar fields are constant and composite p-brane monopole-like ansatz for the fields of forms is adopted, a wide class of solutions on product of n + 1 Einstein spaces is obtained. These solutions are composite p-brane generalizations of the Freund-Rubin solution. Some examples including the AdSm × S k × . . . solutions are considered.
منابع مشابه
Multidimensional Σ-models with Composite Electric P-branes
We consider a gravitational model on a manifold M = M0 × M1 × . . . ×Mn with oriented compact connected Einstein internal spaces M1, . . . ,Mn. The matter part of the action contains several scalar fields and antisymmetric forms. When all internal spaces are Ricci-flat, we may use a midisuperspace representation in σmodel form to obtain exact composite electric p-brane solutions, which depend o...
متن کاملMultidimensional Cosmological and Spherically Symmetric Solutions with Intersecting p-branes
Multidimensional model describing the cosmological evolution and/ or spherically symmetric configuration with (n+1) Einstein spaces in the theory with several scalar fields and forms is considered. When electro-magnetic composite p-brane ansatz is adopted, n ”internal” spaces are Ricci-flat, one space M0 has a non-zero curvature, and all p-branes do not ”live” in M0, a class of exact solutions ...
متن کاملar X iv : g r - qc / 9 90 10 01 v 2 2 5 Fe b 20 02 Multidimensional cosmological and spherically symmetric solutions with intersecting p - branes
Multidimensional model describing the " cosmological " and/ or spherically symmetric configuration with (n + 1) Einstein spaces in the theory with several scalar fields and forms is considered. When electromagnetic composite p-brane ansatz is adopted, n " internal " spaces are Ricci-flat, one space M 0 has a non-zero curvature, and all p-branes do not " live " in M 0 , a class of exact solution...
متن کاملar X iv : g r - qc / 9 70 50 05 v 2 1 3 O ct 1 99 7 Multidimensional σ - models with composite electric p - branes
We consider a gravitational model on a manifold M = M0 × M1 × . . . ×Mn with oriented connected Einstein internal spaces M1, . . . ,Mn. The matter part of the action contains several scalar fields and antisymmetric forms. With Ricci-flat internal spaces, the model has a midisuperspace representation in form of a σ-model on M0. The latter can be used to determine exact composite electric p-brane...
متن کاملSigma-model for Generalized Composite p-branes
A multidimensional gravitational model containing several dilatonic scalar fields and antisymmetric forms is considered. The manifold is chosen in the form M = M0 ×M1 × . . . ×Mn, where Mi are Einstein spaces (i ≥ 1). The block-diagonal metric is chosen and all fields and scale factors of the metric are functions on M0. For the forms composite (electro-magnetic) p-brane ansatz is adopted. The m...
متن کامل