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Inducing the Cosmological Constant from Five-Dimensional Weyl Space

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Abstract

We investigate the possibility of inducing the cosmological constant from extra dimensions by embedding our four-dimensional Riemannian space-time into a five-dimensional Weyl integrable space. Following the approach of the space-time-matter theory we show that when we go down from five to four dimensions, the Weyl field may contribute both to the induced energy-tensor as well as to the cosmological constant Λ, or more generally, it may generate a time-dependent cosmological parameter Λ(t). As an application, we construct a simple cosmological model in which Λ(t) has some interesting properties.

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, 58059-970, João Pessoa, PB, Brazil

    José Edgar Madriz Aguilar & Carlos Romero

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  1. José Edgar Madriz Aguilar
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  2. Carlos Romero
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Correspondence to Carlos Romero.

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Aguilar, J.E.M., Romero, C. Inducing the Cosmological Constant from Five-Dimensional Weyl Space. Found Phys 39, 1205 (2009). https://doi.org/10.1007/s10701-009-9340-7

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  • DOI: https://doi.org/10.1007/s10701-009-9340-7

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