JOCH230428
Physical Justification for the Einstein Real Gravity formulation of General Relativity 
Author: Y. Leblanc (eFieldTheory.COM) Email: AbstractFor diagonal metrics, the Einstein Real Gravity (RG) formulation of General Relativity (GR) has been developed by making use of an exponential parametrization of the metric tensor in terms of physical tensor potentials. But the metric is not an experimentally observable quantity and so this parametrization has yet to be physically justified, although, starting with Einstein's 1907 early treatment, there exist strong arguments in its favor. To address the issue, we REDEFINE the physical tensor potentials in terms of first order derivatives of the metric tensor, which are linearly related to the observable gravitational force field and the Christoffel symbols. Identifying the 00component of the redefined tensor potentials with Newton's gravitational potential, we show EXACT OBEDIANCE with (1) Newton's second law of motion from the geodesic equation for a point particle as well as with the (2) relativistic hydrostatic equilibrium relation for a perfect fluid from the FreudEuler equation. These provide convincing physical justification for the Real Gravity formulation of General Relativity. Real gravitational and inertial forces are still linearly separated in the Christoffel symbols and the new definition coincides with the exponential parametrization for diagonal metrics. Nondiagonal stationary spacetimes or spacetimes allowing gravitational waves can now be treated consistently. Event horizons cannot develop in this theory. Copyright © 2023 Yvan Leblanc. All rights reserved
PACS: 4.60.+n, 11.17.+y, 97.60.Lf Cite as: Leblanc, Y., "Physical Justification for the Einstein Real Gravity formulation of General Relativity", Journal of Cosmology, Vol. 26, No. 28, pp 15420  15438 (2023). 
