CD Skripsi
Analisis Metrik Friedmann-Robertson-Walker Dalam Menentukan Model-Model Kosmologi
Cosmological models can be explained by the Friedmann-Robertson-Walker metric. The coordinates used for the Friedmann-Robertson-Walker metric are spherical and time coordinates. In this study, the Friedmann-Robertson-Walker metric analysis has been performed for three cosmological models (k = 1), (k = 0), dan (k = -1) using the Euler-Lagrange equation to obtain spherical and time coordinates equations. The equations of each coordinate provide additional infromation to obtain the Christoffel symbol used in determining Ricci tensor. Ricci tensor is useful for obtaining the Ricci scalar which will be substituted into Einstein’s equations. Einstein’s equations are used in this analysis by ignoring the pressures and cosmological constants known as the Friedmann model. This analysis provides an easy way to derive Einstein’s equations. The results showed that three models of the universe, for positive curvature (k = 1) describes closed and oscillating periodically, for zero curvature (k = 0) describes flat and open, while for negative curvature (k = -1) describes open. Where, k is the curvature parameter of space-time. From these three models the most logical prediction to accept is the zero curvature parameter model (k = 0), since it corresponds to that obtained by Einstein and de-Sitter in 1932 that the universe is flat and open.
Keywords: Friedmann-Robertson-Walker metric, Euler-Lagrange equation, Christoffel symbol, Ricci tensor, Ricci Scalar, Einstein’s equations, Friedmann model.
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