The Abraham Zelmanov Journal
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Title | Behaviour of the EGR persistent vacuum field following the Lichnerowicz matching conditions |
Author | Patrick Marquet |
Abstract | Recently, the author has proposed an extension of the General Theory of Relativity | the EGR theory, which allows for a persistent gravity-like eld to exist as a homogeneous energy density background. In this paper, we demonstrate the continuity of this eld with respect to the gravitational eld of a massive body. To achieve this goal, we make use of the Lichnerowicz conjecture which formulates the conditions required to match a hyperbolic 4-metric characterized by a material-energy tensor, with a similar type of vacuum-solution metric. This is herein applied to a spherically symmetric class of the general relativistic solutions compatible with the Schwarzschild exterior metric. The EGR covariant derivatives of the metric are then only radial and time-dependent functions: the radial persistent eld tensor component vanishes on a hypersurface separating the vacuum from the matter state. As a consequence, when this hypersurface is narrowed down to the size of a particle, it follows a non-Riemannian geodesic describing the trajectory of the particle whose mass slightly increased: this eect can be interpreted as the bare mass carrying its subsequent gravitational eld. |
Citation | |
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