Rethinking the link between matter and geometry
arXiv:1811.05845 · doi:10.1103/PhysRevD.98.124020
Abstract
In the present manuscript, I examine an intriguing relation at the classical level between general relativity and a theory where matter couples uniquely multiplicatively to geometry in the Lagrangian density. Interestingly, the gravitational constant is replaced by a novel fundamental constant, whose value is not tied to any classical phenomenon; while the value of itself becomes related to the dynamics of the universe. I concentrate on different aspects of the Equivalence Principle, as the theory is expected to violate all of its different formulations.
5 pages. Comments are welcome. v3: few cosmetic changes. Published version
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- Numerical evaluation of the exact post-Newtonian parameters in Brans-Dicke and entangled relativity theories
- Lagrangian Identity and Mass Evolution of Particle-like Objects in Nonminimally Coupled Gravity