Multidimensional Gravity with Einstein Internal Spaces
| dc.creator | Ivashchuk, V. D. | |
| dc.creator | Melnikov, V. N. | |
| dc.date | 1996-12-05 | |
| dc.date.accessioned | 2026-07-07T04:22:55Z | |
| dc.date.available | 2026-07-07T04:22:55Z | |
| dc.description | A multidimensional gravitational model on the manifold $M = M_0 \times \prod_{i=1}^{n} M_i$, where M_i are Einstein spaces ($i \geq 1$), is studied. For $N_0 = dim M_0 > 2$ the $σ$ model representation is considered and it is shown that the corresponding Euclidean Toda-like system does not satisfy the Adler-van-Moerbeke criterion. For $M_0 = R^{N_0}$, $N_0 = 3, 4, 6$ (and the total dimension $D = dim M = 11, 10, 11$, respectively) nonsingular spherically symmetric solutions to vacuum Einstein equations are obtained and their generalizations to arbitrary signatures are considered. It is proved that for a non-Euclidean signature the Riemann tensor squared of the solutions diverges on certain hypersurfaces in $R^{N_0}$. | |
| dc.description | 10 pages, LaTex | |
| dc.identifier | https://arxiv.org/abs/hep-th/9612054 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9612054 | |
| dc.identifier | Grav.Cosmol. 2 (1996) 211-220 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/54832 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Multidimensional Gravity with Einstein Internal Spaces | |
| dc.type | text |