Rao, V. U. M.; Vijaya Santhi, M.; Vinutha, T.; Sree Devi Kumari, G. LRS Bianchi type-I dark energy cosmological model in Brans-Dicke theory of gravitation. (English) Zbl 1259.83028 Int. J. Theor. Phys. 51, No. 10, 3303-3310 (2012). Summary: Bianchi type-I dark energy model with variable equation of state (EoS) parameter is presented in a scalar-tensor theory of gravitation proposed by C. Brans and R. H. Dicke [Phys. Rev. (2) 124, 925–935 (1961; Zbl 0103.21402)]. To get a determinate solution of the field equations we will take the help of special law of variation for Hubble’s parameter presented by M. S. Bermann [“A special law of variation for Hubble’s parameter”, Nuovo Cimento, XI. Ser. B 74, No. 2, 182–186 (1983; doi:10.1007/BF02721676)] which yields a dark energy cosmological model with negative constant deceleration parameter. It is observed that this dark energy cosmological model always represents an accelerated and expanding universe and also consistent with the recent observations of type-Ia supernovae. Some physical and geometrical properties of the model are also discussed. Cited in 3 Documents MSC: 83F05 Relativistic cosmology 83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 83C15 Exact solutions to problems in general relativity and gravitational theory 85A40 Astrophysical cosmology Keywords:Bianchi type-I; Brans-Dicke scalar-tensor theory; dark energy; Hubble’s parameter Citations:Zbl 0103.21402 PDFBibTeX XMLCite \textit{V. U. M. Rao} et al., Int. J. Theor. Phys. 51, No. 10, 3303--3310 (2012; Zbl 1259.83028) Full Text: DOI References: [1] Adhav, K.S., Nimkar, A.S., Ugale, M.R., Dawande, M.V.: Astrophys. Space Sci. 310, 231 (2007) · Zbl 1126.83307 · doi:10.1007/s10509-007-9506-8 [2] Bali, R.: Int. J. Theor. 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