  We study the impact of the symmetry energy on properties of nuclear pasta
phases and crust-core transition in neutron stars. We perform a self-consistent
Thomas--Fermi calculation employing the relativistic mean-field model. The
properties of pasta phases presented in the inner crust of neutron stars are
investigated and the crust-core transition is examined. It is found that the
slope of the symmetry energy plays an important role in determining the pasta
phase structure and the crust-core transition. The correlation between the
symmetry energy slope and the crust-core transition density obtained in the
Thomas--Fermi approximation is consistent with that predicted by the
liquid-drop model.
