Description
We formulate four-dimensional conformal gravity with
(Anti-)de Sitter boundary conditions that are weaker than
Starobinsky boundary conditions, allowing for an
asymptotically subleading Rindler term concurrent with a
recent model for gravity at large distances. We prove the
consistency of the variational principle and derive the
holographic response functions. One of them is the conformal
gravity version of the Brown-York stress tensor, the other
is a `partially massless response'. The on-shell action and
response functions are finite and do not require holographic
renormalization. Finally, we discuss phenomenologically
interesting examples, including the most general spherically
symmetric solutions and rotating black hole solutions with
partially massless hair.