Isotropic and anisotropic N-dimensional cosmologies with exponential potentials
We investigate (N + 1)-dimensional anisotropic cosmological models with a massless scalar field, self-interacting through an exponential potential. The problem is reduced to an FRW model with an additional free, massless scalar field. In the N ≠ 1 case we find the exact general solution for the Robe...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | JOUR |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_02649381_v15_n1_p57_Chimento |
| Aporte de: |
| Sumario: | We investigate (N + 1)-dimensional anisotropic cosmological models with a massless scalar field, self-interacting through an exponential potential. The problem is reduced to an FRW model with an additional free, massless scalar field. In the N ≠ 1 case we find the exact general solution for the Robertson-Walker spacetime and the N > 3 anisotropic Bianchi type I model which is a product of a flat (3 + 1)-dimensional manifold and an (N - 3)-dimensional torus. In both cases the solutions present singularities and power-law inflation. In the multidimensional anisotropic case we also analyse the conditions under which dimensional reduction can proceed. When N = 1 we consider the gravitational theory formed by setting the Ricci scalar equal to the trace of the energy-momentum tensor of the matter fields. In this case the exact general solution of the second-order system of gravitational and self-interacting scalar field equations exhibit singularities, their most notable departure from the N ≠ 1 case being the absence of both particle horizons and power-law inflationary solutions. † Fellow of the Consejo Nacional de Investigaciones Científicas y Técnicas. |
|---|