Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/6095
Title: Separate Einstein-Eddington spaces and the cosmological constant
Authors: Azri, Hemza
Keywords: Cosmological constant
Eddington's gravity
Purely affine gravity
Separate Einstein spaces
Vacuum energy
Inflation
Issue Date: 1-May-2016
Publisher: John Wiley and Sons Inc.
Source: Azri, H. (2016). Separate Einstein-Eddington spaces and the cosmological constant. Annalen der Physik, 528(5), 404-411. doi:10.1002/andp.201500270
Abstract: Based on Eddington affine variational principle on a locally product manifold, we derive the separate Einstein space described by its Ricci tensor. The derived field equations split into two field equations of motion that describe two maximally symmetric spaces with two cosmological constants. We argue that the invariance of the bi-field equations under projections on the separate spaces, may render one of the cosmological constants to zero. We also formulate the model in the presence of a scalar field. The resulted separate Einstein-Eddington spaces maybe considered as two states that describe the universe before and after inflation. A possibly interesting affine action for a general perfect fluid is also proposed. It turns out that the condition which leads to zero cosmological constant in the vacuum case, eliminates here the effects of the gravitational mass density of the perfect fluid, and the dynamic of the universe in its final state is governed by only the inertial mass density of the fluid.
URI: http://doi.org/10.1002/andp.201500270
http://hdl.handle.net/11147/6095
ISSN: 0003-3804
Appears in Collections:Physics / Fizik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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