The Milky Way galaxy has several components, such as the bulge, disk and
halo. Unravelling the assembly history of these stellar populations is
often restricted because of difficulties in measuring accurate ages for
low-mass, hydrogen-burning stars. Unlike these progenitors, white dwarf
stars, the `cinders' of stellar evolution, are remarkably simple objects
and their fundamental properties can be measured with little ambiguity.
Here I report observations of newly formed white dwarf stars in the halo
of the Milky Way, and a separate analysis of archival data in the well
studied 12.5-billion-year-old globular cluster Messier 4. I measure the
mass distribution of the remnant stars and invert the stellar evolution
process to develop a mathematical relation that links this final stellar
mass to the mass of their immediate progenitors, and therefore to the
age of the parent population. By applying this technique to a small
sample of four nearby and kinematically confirmed halo white dwarf
stars, I calculate the age of local field halo stars to be 11.4+/-0.7
billion years. The oldest globular clusters formed 13.5billion years
ago. Future observations of newly formed white dwarf stars in the halo
could be used to reduce the uncertainty, and to probe relative
differences between the formation times of the youngest globular
clusters and the inner halo.