Solutions of gravitational field equations for weakly birefringent spacetimes
arXiv:2009.07540
Abstract
The constructive gravity programme applied to electrodynamics with vacuum birefringence yields the---up to unknown gravitational constants---unique compatible gravity theory for the underlying non-metric geometry. Starting from a perturbative variant of this procedure, we solve the resulting gravitational field equations for the geometry perturbation and point out the non-metric refinements to the linear Schwarzschild and the gravitational wave solution.
6 pages. Prepared for Proceedings of the Fifteenth Marcel Grossmann meeting (Rome, 1-7 July 2018), Session AT5, Constructive Gravity