A static conformally flat cosmological model in Lyra's manifold

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Ideal Fluids, Riemann Manifold, Static Models, Universe

Scientific paper

A static conformally flat spherically symmetric perfect-fluid cosmological model of the universe is presented. The model is based on the modification of Riemannian geometry proposed by Lyra (1951). It is observed that the situation in this case is similar (apart from a difference of sign) to that discussed by Kalyanshetti and Waghmode (1983) in the Einstein-Cartan theory, with the displacement vector ph(i) of Lyra's manifold playing the role of the spin density.

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