  We calculate the tidal Love numbers of black holes and neutron stars in the
presence of higher dimensions. The perturbation equations around an arbitrary
static and spherically symmetric metric for the even parity modes are presented
in the context of an effective four-dimensional theory on the brane. This
subsequently leads to the sought expression for the tidal Love number for black
holes in the presence of extra spatial dimensions. Surprisingly, these numbers
are non-zero and, more importantly, negative. We extend our method to determine
the tidal Love number of neutron stars in a spacetime inheriting extra
dimensions and show that, in the context of effective gravitational theory on
the brane, they are smaller than in general relativity. Finally we have
explicitly demonstrated that earlier constraints on the parameters inherited
from higher dimensions are consistent with the bound on the tidal deformability
parameter from the GW170817 event as well.
