Quantum Gravity and String Theory


Dynamical Dark Energy and the Relativistic Bohm-Poisson Equation

Authors: Carlos Castro

The $nonlinear$ Bohm-Poisson-Schroedinger equation is studied further. It has solutions leading to $repulsive$ gravitational behavior. An exact analytical expression for the observed vacuum energy density is obtained. Further results are provided which include two possible extensions of the Bohm-Poisson equation to the full relativistic regime. Two specific solutions to the novel Relativistic Bohm-Poisson equation (associated to a real scalar field) are provided encoding the repulsive nature of dark energy. One solution leads to an exact cancellation of the cosmological constant, but an expanding decelerating cosmos; while the other solution leads to an exponential accelerated cosmos consistent with a de Sitter phase, and whose extremely small cosmological constant is $ \Lambda = { 3 \over R_H^2}$, consistent with current observations. We conclude with some final remarks about Weyl's geometry.

Comments: 19 Pages. Submitted to the Int. J. Geom. Meth. Mod. Phys

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Submission history

[v1] 2018-03-22 08:50:28
[v2] 2018-03-23 23:43:53
[v3] 2018-03-28 00:15:21

Unique-IP document downloads: 26 times

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