Isotropic and anisotropic N-dimensional cosmologies with exponential potentials

被引:23
作者
Chimento, LP [1 ]
Cossarini, AE [1 ]
Zuccala, NA [1 ]
机构
[1] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Fis, RA-1428 Buenos Aires, DF, Argentina
关键词
D O I
10.1088/0264-9381/15/1/006
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We investigate (N + 1)-dimensional anisotropic cosmological models with a massless scalar held, self-interacting through an exponential potential. The problem is reduced to an FRW model with an additional free, massless scalar field. in the N not equal 1 case we find the exact general solution for the Robertson-Walker spacetime and the N > 3 anisotropic Bianchi type 1 model which is a product of a Bat (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 not equal 1 case being the absence of both particle horizons and power-law inflationary solutions.
引用
收藏
页码:57 / 74
页数:18
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