  We present a precise definition of a conserved quantity from an arbitrary
covariantly conserved current available in a general curved spacetime with
Killing vectors. This definition enables us to define energy and momentum for
matter by the volume integral. As a result we can compute charges of
Schwarzschild and BTZ black holes by the volume integration of a delta function
singularity. Employing the definition we also compute the total energy of a
static compact star. It contains both the gravitational mass known as the
Misner-Sharp mass in the Oppenheimer-Volkoff equation and the gravitational
binding energy. We show that the gravitational binding energy has the negative
contribution at maximum by 68% of the gravitational mass in the case of a
constant density. We finally comment on a definition of generators associated
with a vector field on a general curved manifold.
