Constraints on Einstein-aether theory after GW170817

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 x 10(-15) < c(T) - 1 < 7 x 10-(16), which for the Einstein-aether theory implies vertical bar c(13)vertical bar <= 10(-15) with c(ij) equivalent to c(i) thorn c(j) + 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 sigma(ae) of neutron stars, which are not known at present in the new ranges of the parameters found in this paper.