eFTC230201
Einstein Real Gravity Beyond The Newton Gauge 

Author: Y. Leblanc (eFieldTheory.COM) Email: AbstractWe derive the gravitational field equations in orthogonal curvilinear coordinates for a timedependent isotropic metric and a slow moving fluid matter source in Einstein Real Gravity (RG) beyond the Newton gauge. When using a Yilmazlike exponential parametrization for the metric tensor, the Newton potential is no longer solely given by the 00component of the tensor potentials as it is shifted in components space, thus compelling us to redefine the parametrization in such a way as to lock the Newton potential on the 00component. Making use of the new parametrization, we rederive the gravitational field equations, the FreudEuler equation for the fluid source as well as the modified TolmanOppenheimerVolkoff hydrostatic formula for star equilibrium. We also check the algebraic equivalence of the Real Gravity and traditional curvature formulations for the case of an isotropic spherically symmetric metric. Although algebraically equivalent, their physics is not since the gravitational field is described by the tensor potentials in Einstein Real Gravity instead of the metric tensor. For weak fields, they are indistinguishable but at strong fields, they are very different as no black holes exist in Einstein Real Gravity. Copyright © 2023 Yvan Leblanc. All rights reserved
PACS: 4.60.+n, 11.17.+y, 97.60.Lf Cite as: Leblanc, Y., "Einstein Real Gravity Beyond The Newton Gauge", Report no. eFTC230201 (2023). http://www.efieldtheory.com/abs/?eFTC230201; doi:10.13140/RG.2.2.35792.38405. 





