The Einstein field equation in a multidimensional universe
โ Scribed by Osmo Pekonen
- Publisher
- Springer US
- Year
- 1988
- Tongue
- English
- Weight
- 148 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0001-7701
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
For a model of the multidimensional universe we take a smooth manifold S which under the action of a compact Lie group G fibres into orbits of the same type G/H acquiring the structure of a fibre bundle with typical fibre G/H and base -the orbit space S/G (identified with the four-dimensional spacet
Let S be a group of automorphisms of a principal fibre bundle (U, 7r, E, R), both groups S and R being compact. Let I (resp. H) be the isotropy group o f S (resp. S x R) acting on E (resp. U), and let N(/) (resp. N(H)) be the normalizer o f I (resp.H) inS (resp. S x R). We construct two principal bu
We treat as prototype for four-dimensional nonlinear quantum field theories the g(p4 theory in the Einstein Universe E = R' x S3. The underlying free system is defined by the Klein-Gordon equation in E. We show rigorously, without the intervention of any cutoffs or perturbative renormalizations, tha