Relativity and Cosmology


Modified Standard Einstein Field Equations and Cosmological Constant

Authors: Faisal Amin Yassein Abdelmossin

We have modified the standard Einstein field equations by introducing a general function that depends on Ricci’s scalar without prior assumption of the mathematical form of the function. By demanding that the covariant derivative of the energy-momentum tensor should vanish and with application of Bianchi identity a first order ordinary differential equation in the Ricci’s scalar has emerged. By integrating the resulting equation a constant of integration resulting from solving the equation is interpreted as the cosmological constant introduced by Einstein. The form of function on Ricci’s scalar and on the cosmological constant corresponds to the form of Einstein-Hilbert’s Lagrangian appearing in the action integral.

Comments: 4 Pages.

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[v1] 2017-01-22 02:59:14

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