Quadrupole moments of rapidly rotating compact objects in dilatonic Einstein-Gauss-Bonnet theory

We consider rapidly rotating black holes and neutron stars in dilatonic Einstein-Gauss-Bonnet (EGBd) theory and determine their quadrupole moments, which receive a contribution from the dilaton. The quadrupole moment of EGBd black holes can be considerably larger than the Kerr value. For neutron stars, the universality property of the ^I-^Q relation between the scaled moment of inertia and the scaled quadrupole moment appears to extend to EGBd theory.