Authors: Faisal Amin Yassein Abdelmohssin
I applied the method of the second variations of the Calculus of Variations to the Einstein-Hilbert action. Since the Einstein-Hilbert’s Lagrangian for a gravitational field is proportional to the Ricci curvature scalar construction of the Euler-Lagrange equations requires dealing with the tensor quantities from which the Ricci curvature scalar is composed rather than the Ricci curvature scalar itself. As the result of applying this method two Euler-Lagrange equations emerged; both equations yielded the same Einstein’s field equations in absence of energy-momentum fields.
Comments: 7 Pages.
Unique-IP document downloads: 74 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.