English

Challenges to global solutions in Horndeski's theory

General Relativity and Quantum Cosmology 2019-07-30 v2 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Abstract

We explore the question of obtaining global solutions in Horndeski's theories of gravity. Towards this end, we study a relevant set of the theory and, by employing the Einstein frame we simplify the analysis by exploiting known results on global solutions of wave equations. We identify conditions for achieving global solutions as well as obstacles that can arise to spoil such goal. We illustrate such problems via numerical simulations.

Keywords

Cite

@article{arxiv.1904.12866,
  title  = {Challenges to global solutions in Horndeski's theory},
  author = {Laura Bernard and Luis Lehner and Raimon Luna},
  journal= {arXiv preprint arXiv:1904.12866},
  year   = {2019}
}

Comments

15 pages, 5 figures. v2: Matches published version

R2 v1 2026-06-23T08:52:38.307Z