Abstract
In this note we prove that quantum gravitational corrections to vacuum solutions of Einstein's equations vanish at second order in curvature.
Highlights
Exact solutions, and in particular vacuum solutions, play an important role in general relativity, see e.g. [1]
The effective action is a derivative expansion since the Ricci scalar, Ricci tensor and Riemann tensor contain two derivatives of the metric
As the invariant terms are constructed using the Ricci scalar, the Ricci tensor and the Riemann tensor, it corresponds to a curvature expansion
Summary
In particular vacuum solutions, play an important role in general relativity, see e.g. [1]. It is well known that this quantum field theory is not renormalizable, but as argued by Donoghue years ago [4] this is not an issue as it means that new measurements are needed order by order in the curvature/derivative expansion of the effective action to determine the Wilson coefficients that are not calculable due to the non-renormalizability of quantized general relativity. This does not mean that predictions are not possible as the Wilson coefficients of the non-local operators such as the log terms considered here are calculable.
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
