  We measure the non-axisymmetry in the luminosity distribution in the central
few kpc of a sample of advanced mergers of galaxies, by analyzing their 2MASS
images. All mergers show a high central asymmetry: the centres of isophotes
show a striking sloshing pattern with a spatial variation of upto 30 % within
the central 1 kpc; and the Fourier amplitude for lopsidedness (m=1) shows high
values upto 0.2 within the central 5 kpc. The central asymmetry is estimated to
be long-lived, lasting for ~ a few Gyr or ~ 100 local dynamical timescales.
This will significantly affect the dynamical evolution of this region, by
helping fuel the central active galactic nucleus, and also by causing the
secular growth of the bulge driven by lopsidedness.
