Kasner Solution in Brans–Dicke Theory and Its Corresponding Reduced Cosmology
We present a brief review of the modified Brans–Dicke theory (MBDT) in arbitrary dimensions, whereby the (N + 1)-dimensional field equations reduce to the N-dimensional (ND) configuration with sources and an effective induced scalar potential. We then investigate a generalized Bianchi type I anisotropic cosmology in 5D BD theory that leads to an extended Kasner solution. By employing the original equations of MBDT, we probe the reduced Kasner cosmology on the hypersurface with proceeding the investigations for a few cosmological quantities, explaining their properties for some cosmological models.
KeywordsDeceleration Parameter Cosmic Time Kasner Solution Cosmological Scale Factor Cosmological Quantity
I sincerely appreciate to Prof. Paulo Vargas Moniz for a critical reading of the letter. I am supported by the Portuguese Agency Fundação para a Ciência e Tecnologia through the fellowship SFRH/BPD/82479/2011.
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