Rai, Priyanka; Rai, L. N.; Singh, V. K. Some anisotropic homogeneous cosmological models in self-creation cosmology. (English) Zbl 1247.83156 Int. J. Theor. Phys. 51, No. 8, 2503-2513 (2012). Summary: The paper presents an exact solution of cylindrically symmetric cosmological models which are of Petrov type-I or Petrov type-D in Barber’s second self-creation theory of gravitation. Some physical and geometrical properties of these models are also discussed. MSC: 83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories 83F05 Cosmology 83C15 Exact solutions to problems in general relativity and gravitational theory 85A40 Cosmology 83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory Keywords:anisotropic; cylindrically symmetric; cosmological model; Petrov type-I; Petrov type-D; Barber’s second self-creation theory PDF BibTeX XML Cite \textit{P. Rai} et al., Int. J. Theor. Phys. 51, No. 8, 2503--2513 (2012; Zbl 1247.83156) Full Text: DOI References: [1] Barber, G.A.: Gen. Relativ. Gravit. 14, 117 (1982) · doi:10.1007/BF00756918 [2] Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961) · Zbl 0103.21402 · doi:10.1103/PhysRev.124.925 [3] Brans, C.: Gen. Relativ. Gravit. 19, 949 (1987) · doi:10.1007/BF00759299 [4] Soleng, H.H.: Astrophys. Space Sci. 139, 13 (1987) · doi:10.1007/BF00643809 [5] Reddy, D.R.K., Venkateshwarlu, R.: Astrophys. Space Sci. 155, 135 (1989) · Zbl 0701.76126 · doi:10.1007/BF00645214 [6] Marder, L.: Proc. R. Soc. Lond. Ser. A, Math. Phys. Sci. 246, 133 (1958) · doi:10.1098/rspa.1958.0111 [7] Roy, S.R., Singh, P.N.: J. Phys. A 9, 255 (1976) · doi:10.1088/0305-4470/9/2/010 [8] Roy, S.R., Prakash, S.: J. Phys. A 9, 261 (1976) · doi:10.1088/0305-4470/9/2/011 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.