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Behaviour of the EGR Persistent Vacuum Field Following the Lichnérowicz Matching Conditions
Abstract
Recently, the author has proposed an extension of the General Theory of Relativity — the EGR theory, which allows for a persistent gravity-like field to exist as a homogeneous energy density background. In this paper, we demonstrate the continuity of this field with respect to the gravitational field of a massive body. To achieve this goal, we make use of the Lichnérowicz 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 field 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 effect can be interpreted as the bare mass carrying its subsequent gravitational field.
Ref: The Abraham Zelmanov Journal, 2010, volume 3, pages 71-89
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The Abraham Zelmanov Journal is an annually issue scientific journal registered with the Royal National Library of Sweden.
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