The main goal of the present contribution is a pedagogical introduction to
the fascinating world of neutron stars by relying on relativistic density
functional theory. Density functional theory provides a powerful--and perhaps
unique--framework for the calculation of both the properties of finite nuclei
and neutron stars. Given the enormous densities that may be reached in the core
of neutron stars, it is essential that such theoretical framework incorporates
from the outset the basic principles of Lorentz covariance and special
relativity. After a brief historical perspective, we present the necessary
details required to compute the equation of state of dense, neutron-rich
matter. As the equation of state is all that is needed to compute the structure
of neutron stars, we discuss how nuclear physics--particularly certain kind of
laboratory experiments--can provide significant constrains on the behavior of
neutron-rich matter.Comment: Contributing chapter to the book "Relativistic Density Functional for
Nuclear Structure"; World Scientific Publishing Company (Singapore); Editor
Prof. Jie Meng (Peking University