Abstract
In order to obtain models of the homogeneous Isotropic universe that can oscillate without going through a singular state, a cosmic field is introduced that produces a negative pressure, following the work of Pachner. One is led to single out a particular form for this field. If one adds to the Einstein field equations an expression corresponding to this field, taking into account the existence of a cosmic time, one obtains theC-field of Hoyle and Narlikar for the case of conservation of matter.
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Rosen, N. Oscillating universe and scalar field. Int J Theor Phys 2, 189–198 (1969). https://doi.org/10.1007/BF00669565
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DOI: https://doi.org/10.1007/BF00669565