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Abstract:

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.

Registro:

Documento: Artículo
Título:Isotropic and anisotropic N-dimensional cosmologies with exponential potentials
Autor:Chimento, L.P.; Cossarini, A.E.; Zuccalá, N.A.
Filiación:Departamento de Física, Fac. de Ciencias Exactas y Naturales, Pabellón I, 1428 Buenos Aires, Argentina
Año:1998
Volumen:15
Número:1
Página de inicio:57
Página de fin:74
DOI: http://dx.doi.org/10.1088/0264-9381/15/1/006
Título revista:Classical and Quantum Gravity
Título revista abreviado:Classical Quantum Gravity
ISSN:02649381
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_02649381_v15_n1_p57_Chimento

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Citas:

---------- APA ----------
Chimento, L.P., Cossarini, A.E. & Zuccalá, N.A. (1998) . Isotropic and anisotropic N-dimensional cosmologies with exponential potentials. Classical and Quantum Gravity, 15(1), 57-74.
http://dx.doi.org/10.1088/0264-9381/15/1/006
---------- CHICAGO ----------
Chimento, L.P., Cossarini, A.E., Zuccalá, N.A. "Isotropic and anisotropic N-dimensional cosmologies with exponential potentials" . Classical and Quantum Gravity 15, no. 1 (1998) : 57-74.
http://dx.doi.org/10.1088/0264-9381/15/1/006
---------- MLA ----------
Chimento, L.P., Cossarini, A.E., Zuccalá, N.A. "Isotropic and anisotropic N-dimensional cosmologies with exponential potentials" . Classical and Quantum Gravity, vol. 15, no. 1, 1998, pp. 57-74.
http://dx.doi.org/10.1088/0264-9381/15/1/006
---------- VANCOUVER ----------
Chimento, L.P., Cossarini, A.E., Zuccalá, N.A. Isotropic and anisotropic N-dimensional cosmologies with exponential potentials. Classical Quantum Gravity. 1998;15(1):57-74.
http://dx.doi.org/10.1088/0264-9381/15/1/006