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Physical Review Letters




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.


Author Posting. © 2014 American Physical Society. This article is posted here by permission of the American Physical Society for personal use, not for redistribution. The article was published in Physical Review Letters, Volume 112, 2014.

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This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

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