English

The most general second-order field equations of bi-scalar-tensor theory in four dimensions

General Relativity and Quantum Cosmology 2015-10-27 v1 Cosmology and Nongalactic Astrophysics High Energy Physics - Theory

Abstract

The Horndeski theory is known as the most general scalar-tensor theory with second-order field equations. In this paper, we explore the bi-scalar extension of the Horndeski theory. Following Horndeski's approach, we determine all the possible terms appearing in the second-order field equations of the bi-scalar-tensor theory. We compare the field equations with those of the generalized multi-Galileons, and confirm that our theory contains new terms that are not included in the latter theory. We also discuss the construction of the Lagrangian leading to our most general field equations.

Keywords

Cite

@article{arxiv.1505.06029,
  title  = {The most general second-order field equations of bi-scalar-tensor theory in four dimensions},
  author = {Seiju Ohashi and Norihiro Tanahashi and Tsutomu Kobayashi and Masahide Yamaguchi},
  journal= {arXiv preprint arXiv:1505.06029},
  year   = {2015}
}

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21 pages