Mathematics – Logic
Scientific paper
Jan 1998
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998cqgra..15...57c&link_type=abstract
Classical and Quantum Gravity, Volume 15, Issue 1, pp. 57-74 (1998).
Mathematics
Logic
13
Scientific paper
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 0264-9381/15/1/006/img1 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 0264-9381/15/1/006/img1 case being the absence of both particle horizons and power-law inflationary solutions.
Chimento Luis P.
Cossarini Adriana E.
Zuccala Norberto A.
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