  We investigate the effects of homogeneous general dark energy on the
non-linear matter perturbation in fully general relativistic context. The
equation for the density contrast contains even at linear order new
contributions which are non-zero for general dark energy. Taking into account
the next-leading-order corrections, we derive the total power spectrum in real
and redshift spaces. We find that the observable galaxy power spectrum deviates
from the LambdaCDM spectrum, which is nearly identical to that in the
Einstein-de Sitter universe, and the relative difference is about 10% on a
scale of the baryon acoustic oscillations.
