Newtonian and post Newtonian expansionfree fluid evolution in f(R) gravity

Post-Newtonian expansion for Gauss-Bonnet Gravity

The observed late time accelerated expansion of the universe [1] combined with the problems that arise when trying to rationalize it with the simplest of explanations, such as a cosmological constant [2], have triggered an increased interest in finding alternatives for the nature of dark energy. Scalar fields, widely used in the inflationary paradigm [3], constitute a familiar way of providing ...

Newtonian Quantum Gravity

We develop a nonlinear quantum theory of Newtonian gravity consistent with an objective interpretation of the wavefunction. Inspired by the ideas of Schrödinger, and Bell, we seek a dimensional reduction procedure to map complex wavefunctions in configuration space onto a family of observable fields in space–time. Consideration of quasi–classical conservation laws selects the reduced one–body q...

Newtonian Quantum Gravity

A Newtonian approach to quantum gravity is studied. At least for weak gravitational fields it should be a valid approximation. Such an approach could be used to point out problems and prospects inherent in a more exact theory of quantum gravity, yet to be discovered. Newtonian quantum gravity, e.g., shows promise for prohibiting black holes altogether (which would eliminate singularities and al...

The Newtonian Fluid

Lunar Laser Ranging - A Comprehensive Probe of Post-Newtonian Gravity

Using more than 30 years of lunar laser ranging (LLR) data, the lunar orbit has been modeled and fit with several millimeters precision. This fit provides comprehensive confirmation of the general relativistic equations of motion for solar system dynamics, achieving several key tests of Einstein’s tensor theory of gravity, and strongly constraining presence of any additional long range interact...