Constraints on Einstein-aether theory after GW170817

Jacob Oost; Shinji Mukohyama; Anzhong Wang

doi:10.1103/PhysRevD.97.124023

paper

Constraints on Einstein-aether theory after GW170817

arXiv:1802.04303 · doi:10.1103/PhysRevD.97.124023

Abstract

In this paper, we carry out a systematic analysis of the theoretical and observational constraints on the dimensionless coupling constants $c_{i}$ ( $i = 1, 2, 3, 4$ ) of the Einstein-aether theory, taking into account the events GW170817 and GRB 170817A. The combination of these events restricts the deviation of the speed $c_{T}$ of the spin-2 graviton to the range, $- 3 \times 1 0^{- 15} < c_{T} - 1 < 7 \times 1 0^{- 16}$ , which for the Einstein-aether theory implies $∣ c_{13} ∣ \leq 1 0^{- 15}$ with $c_{ij} \equiv c_{i} + c_{j}$ . The rest of the constraints are divided into two groups: those on the ( $c_{1}, c_{14}$ )-plane and those on the ( $c_{2}, c_{14}$ )-plane, except the strong-field constraints. The latter depend on the sensitivities $σ_{æ}$ of neutron stars, which are not known at present in the new ranges of the parameters found in this paper.

revtex4, one figure and no table. Discussions of the relations with the khronometric theory were added. Phys. Rev. D97, 124023 (2018)

Constraints on Einstein-aether theory after GW170817

Abstract

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