Linear density perturbation in relativistic and Brans-Dicke cosmologies

Physics

Scientific paper

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Cosmology, Perturbation Theory, Relativistic Theory, Density (Mass/Volume), Space-Time Functions, Universe

Scientific paper

Linear density perturbation equation for general relativistic cosmologies using the homogeneous isotropic Robertson-Walker metric and the anisotropic Bianchi-I metric for the unperturbed model has been derived in a simple and rather general manner. The method has then been applied to consideration of the fate of density perturbation in the Brans-Dicke model of the universe. Two coupled differential equations connecting variations in the density and the scalar field of the model have been obtained. An approximate solution has been sought and a power law growth of the fluctuation in density with time has been obtained.

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