Forecasting cosmological parameter constraints from near-future
  space-based galaxy surveys
  The next generation of space-based galaxy surveys are expected to measure the
growth rate of structure to about a percent level over a range of redshifts.
The rate of growth of structure as a function of redshift depends on the
behaviour of dark energy and so can be used to constrain parameters of dark
energy models. In this work we investigate how well these future data will be
able to constrain the time dependence of the dark energy density. We consider
parameterizations of the dark energy equation of state, such as XCDM and wCDM,
as well as a consistent physical model of time-evolving scalar field dark
energy, \phi CDM. We show that if the standard, specially-flat cosmological
model is taken as a fiducial model of the Universe, these near-future
measurements of structure growth will be able to constrain the time-dependence
of scalar field dark energy density to a precision of about 10%, which is
almost an order of magnitude better than what can be achieved from a
compilation of currently available data sets.
