  We calculate for La2CuO4 the phonon-induced redistribution of the electronic
charge density in the insulating, the underdoped pseudogap and the more
conventional metallic state as obtained for optimal and overdoping,
respectively. The investigation is performed for the anomalous
high-frequency-oxygen-bond stretching modes (OBSM) which experimentally are
known to display a strong softening of the frequencies upon doping in the
cuprates. This most likely generic anomalous behaviour of the OBSM has been
shown to be due to a strong nonlocal electron-phonon interaction (EPI) mediated
by charge fluctuations on the ions. The modeling of the competing electronic
states of the cuprates is achieved in terms of consecutive orbital selective
incompressibility-compressibility transitions for the charge response. We
demonstrate that the softening of the OBSM in these states is due to nonlocally
induced dynamic charge inhomogenities in form of charge stripes along the CuO
bonds with different orbital character. Thus, a multi-orbital approach is
essential for the CuO plane. The dynamic charge inhomogeneities may in turn be
considered as precursors of static charge stripe order as recently observed in
La$_{2-x}$Ba$_{x}$CuO$_{4}$ in a broad range of doping around x=1/8. The latter
may trigger a reconstruction of the Fermi surface into small pockets with
reduced doping. We argue that the incompressibility of the Cu3d orbital and
simultaneously the compressibility of the O2p orbital in the pseudogap state
seems to be required to nucleate dynamic stripes.
