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.
[v1] 2017-01-22 02:59:14
Unique-IP document downloads: 55 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.