  We construct explicit solutions for the linearized massive and massless
spin-2, vector and scalar modes around the AdS spacetimes in diverse
dimensions. These modes may arise in extended (super)gravities with higher
curvature terms in general dimensions. Log modes in critical gravities can also
be straightforwardly deduced. We analyze the properties of these modes and
obtain the tachyon-free condition, which allows negative mass square for these
modes. However, such modes may not satisfy the standard AdS boundary condition
and can be truncated out from the spectrum.

High Energy Physics - Theory;General Relativity and Quantum Cosmology