Relativity and Cosmology


Conformal, Parameter-Free Riemannian Gravity

Authors: William O. Straub

A simple, parameter-free conformal approach to gravity is presented based on the the square of the quadratic Ricci scalar R alone. It is shown that when R is a non-zero constant, the associated action is fully conformal and leads to the usual equations of motion associated with the standard Einstein-Hilbert action. To demonstrate the approach, we derive the Schwarzschild metric, the field of a charged particle and the Tolman-Oppenheimer-Volkoff equation.

Comments: 12 Pages. Several typos fixed, and a less restrictive derivation of the Tolman-Oppenheimer-Volkoff equation is presented.

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Submission history

[v1] 2017-11-23 13:51:43
[v2] 2017-11-28 14:49:14

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