Holographic studies of the generic massless cubic gravities

2019/01/31 by Yue-Zhou Li
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Central charge #Conformal map #Cosmological constant #Cosmology and Gravitation Theories #Coupling constant #Curvature #Geometry #Massless particle #Mathematical physics #Noncommutative and Quantum Gravity Theories #Order (exchange) #Physics #Quantum mechanics #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.99.066014

published as Phys. Rev. D 99, 066014 (2019) · Latex, 69 pages, typo corrected, comments and references added, to appear in PRD

openalex publication_date 2019/03/28 · arxiv created 2019/03/29 · arxiv updated 2019/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider the generic massless cubic gravities coupled to a negative bare cosmological constant mainly in D=5 and D=4 dimensions, which are Einstein gravity extended with cubic curvature invariants where the linearized excited spectrum around the AdS background contains no massive modes. The generic massless cubic gravities are more general than Myers quasitopological gravity in D=5 and Einsteinian cubic gravity in D=4. It turns out that the massless cubic gravities admit the black holes at least in a perturbative sense with the coupling constants of the cubic terms becoming infinitesimal. The first order approximate black hole solutions with arbitrary boundary topology k are presented, and in addition, the second order approximate planar black holes are exhibited as well. We then establish the holographic dictionary for such theories by presenting a-charge, C_T-charge and energy flux parameters t₂ and t₄. By perturbatively discussing the holographic R'enyi entropy, we find a, C_T and t₄ can somehow determine the R'enyi entropy with the limit q\ensuremath→1, q\ensuremath→0 and q\ensuremath→\ensuremath∞ up to the first order, where q is the order of the R'enyi entropy. For holographic hydrodynamics, we discuss the shear-viscosity-entropy ratio and find that the patterns deviating from the Kovtun-Son-Starinets bound 1/(4\ensuremathπ) can somehow be controlled by ((c\ensuremath-a)/c,t₄) up to the first order in D=5, and ((C_T\ensuremath-\stackrel\texttildelowa)/C_T,t₄) up to the second order in D=4, where C_T and \stackrel\texttildelowa differ from C_T-charge and a-charge by inessential overall constants.

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