Publication at Faculty of Mathematics and Physics |
2022
Abstract
We analyze the properties of the quadratic corrections to the Einstein-Hilbert action as the natural extension of general relativity in spherically symmetric geometry in the coordinates with clear geometrical meaning. Analogously to the previous works, the exact power series solution is found, and additionally, the interpretation of the free parameters is studied, the quantification of the quadratic contribution is introduced, and the exact solution is compared to the explicit linearized one.