Holography of pp-waves in conformal gravity

Abstract

We consider holography of two pp-wave metrics in conformal gravity, their one point functions, and asymptotic symmetries. One of the metrics is a generalization of the standard pp-waves in Einstein gravity to conformal gravity. The holography of this metric shows that within conformal gravity one can have realised solution which has non-vanishing partially massless response (PMR) tensor even for vanishing subleading term in the Fefferman-Graham expansion (i.e. Neumann boundary conditions), and vice-versa.

arXiv comment12 pages, 3 figures

References in corpus (18)

• No-ghost theorem for the fourth-order derivative Pais-Uhlenbeck oscillator model
• Making the Case for Conformal Gravity
• Conformal Supergravity in Twistor-String Theory
• Realizations of Real Low-Dimensional Lie Algebras
• Solvable model of strings in a time-dependent plane-wave background
• Model for gravity at large distances
• Counter-term charges generate bulk symmetries
• Conformal gravity holography in four dimensions
• Probing the small distance structure of canonical quantum gravity using the conformal group
• Charged Rotating AdS Black Hole and Its Thermodynamics in Conformal Gravity
• Astrophysical Gravitational Waves in Conformal Gravity
• Holographic Two-Point Functions in Conformal Gravity
• Canonical charges and asymptotic symmetry algebra of conformal gravity
• Exact solution to perturbative conformal cosmology in the recombination era
• Hamiltonian formulation and exact solutions of the Bianchi type I space-time in conformal gravity
• Some remarks on Bianchi type-II, VIII and IX models
• Gravitational wave solutions of quadratic curvature gravity using a null coframe formulation
• Asymptotic symmetry algebra of conformal gravity