Effective metric outside bootstrapped Newtonian sources

We determine the complete space-time metric from the bootstrapped Newtonian potential generated by a static spherically symmetric source in the surrounding vacuum. This metric contains post-Newtonian parameters which can be further used to constrain the underlying dynamical theory and quantum state of gravity. For values of the post-Newtonian parameters within experimental bounds, the reconstructed metric appears very close to the Schwarzschild solution of general relativity in the whole region outside the event horizon. The latter is however larger in size for the same value of the mass compared to the Schwarzschild case.

Automated summary

The researchers determine the complete space-time metric based on the Newtonian potential produced by a static spherically symmetric source in the surrounding vacuum. This metric contains post-Newtonian parameters that can be used to constrain the underlying dynamical theory and quantum state of gravity. For experimental values of the post-Newtonian parameters, the reconstructed metric closely resembles the Schwarzschild solution, but with a larger size for the same mass.