English

Variations on the Goroff-Sagnotti operator

General Relativity and Quantum Cosmology 2023-01-27 v1 High Energy Physics - Theory

Abstract

The effect of modifying General Relativity with the addition of some higher dimensional operators, generalizations of the Goroff-Sagnotti operator, is discussed. We determine in particular, the general solution of the classical equations of motion, assuming it to be spherically symmetric, not necessarily static. Even in the non-spherically symmetric case, we present a necessary condition for an algebraically generic spacetime to solve the corresponding equations of motion. Some examples of an application of said condition are explicitly worked out.

Keywords

Cite

@article{arxiv.2301.10773,
  title  = {Variations on the Goroff-Sagnotti operator},
  author = {Enrique Álvarez and Jesus Anero and Eduardo Velasco-Aja},
  journal= {arXiv preprint arXiv:2301.10773},
  year   = {2023}
}

Comments

12 pages

R2 v1 2026-06-28T08:20:24.399Z