Large-scale imprint of relativistic effects in the cosmic magnification
  Apart from the known weak gravitational lensing effect, the cosmic
magnification acquires relativistic corrections owing to Doppler, integrated
Sachs-Wolfe, time-delay and other (local) gravitational potential effects,
respectively. These corrections grow on very large scales and high redshifts z,
which will be the reach of forthcoming surveys. In this work, these
relativistic corrections are investigated in the magnification angular power
spectrum, using both (standard) noninteracting dark energy (DE), and
interacting DE (IDE). It is found that for noninteracting DE, the relativistic
corrections can boost the magnification large-scale power by ~ 40% at z = 3,
and increases at lower z. It is also found that the IDE effect is sensitive to
the relativistic corrections in the magnification power spectrum, particularly
at low z---which will be crucial for constraints on IDE. Moreover, the results
show that if relativistic corrections are not taken into account, this may lead
to an incorrect estimate of the large-scale imprint of IDE in the cosmic
magnification; including the relativistic corrections can enhance the true
potential of the cosmic magnification as a cosmological probe.
