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...
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todo:paper_02649381_v15_n1_p57_Chimento2023-10-03T15:13:09Z Isotropic and anisotropic N-dimensional cosmologies with exponential potentials Chimento, L.P. Cossarini, A.E. Zuccalá, N.A. 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. Fil:Chimento, L.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Cossarini, A.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Zuccalá, N.A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_02649381_v15_n1_p57_Chimento |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Chimento, L.P. Cossarini, A.E. Zuccalá, N.A. |
| spellingShingle |
Chimento, L.P. Cossarini, A.E. Zuccalá, N.A. Isotropic and anisotropic N-dimensional cosmologies with exponential potentials |
| author_facet |
Chimento, L.P. Cossarini, A.E. Zuccalá, N.A. |
| author_sort |
Chimento, L.P. |
| title |
Isotropic and anisotropic N-dimensional cosmologies with exponential potentials |
| title_short |
Isotropic and anisotropic N-dimensional cosmologies with exponential potentials |
| title_full |
Isotropic and anisotropic N-dimensional cosmologies with exponential potentials |
| title_fullStr |
Isotropic and anisotropic N-dimensional cosmologies with exponential potentials |
| title_full_unstemmed |
Isotropic and anisotropic N-dimensional cosmologies with exponential potentials |
| title_sort |
isotropic and anisotropic n-dimensional cosmologies with exponential potentials |
| url |
http://hdl.handle.net/20.500.12110/paper_02649381_v15_n1_p57_Chimento |
| work_keys_str_mv |
AT chimentolp isotropicandanisotropicndimensionalcosmologieswithexponentialpotentials AT cossariniae isotropicandanisotropicndimensionalcosmologieswithexponentialpotentials AT zuccalana isotropicandanisotropicndimensionalcosmologieswithexponentialpotentials |
| _version_ |
1807314596803903488 |