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Journal: JOURNAL OF THEORETICAL AND APPLIED PHYSICS (IRANIAN PHYSICAL JOURNAL) | Year:0 | Volume:3 | Issue:3 | Start Page:31 | End Page:36

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Title

WILL MODIFICATION OF THE EINSTEIN FIELD EQUATIONS HAVE COSMOLOGICAL IMPLICATIONS?

Writers

TEHRANI NASAB S.

Pages

 Start Page 31 | End Page 36

Abstract

 The field equations of GENERAL RELATIVITY can be derived from a STATIONARY ACTION principle. But these equations are not unique; they may be modified by adding, for example, a second order CURVATURE TERM to the gravitational action. The inclusion of one such a small corrective term leads to a set of equations with four new terms (which involve up to the fourth derivative of the scale factor). When we consider the case of a radiation-filled universe, it turns out that the effects of these new terms cancel if we adhere to the Robertson-Walker mertic (which has built into it the observed features of homogeneity and isotropy). We find R(t)=Ö1(1+ltp) and R(t)=bÖt to be equally valid solutions of the modified field equations (where R(t) is the scale factor and b and l are constants; l is very much smaller than b; p =-1). Only the first and second derivatives of R turn out to be non-vanishing. The Robertson- Walker cosmology survives our modifications even for times that are long compared with the Planck time.

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