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arxiv: 1003.5357 · v2 · submitted 2010-03-28 · 🌀 gr-qc · hep-th

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Black Holes in Quasi-topological Gravity

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classification 🌀 gr-qc hep-th
keywords equationsgravityblackquasi-topologicalactionbackgroundconstructcubic
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We construct a new gravitational action which includes cubic curvature interactions and which provides a useful toy model for the holographic study of a three parameter family of four- and higher-dimensional CFT's. We also investigate the black hole solutions of this new gravity theory. Further we examine the equations of motion of quasi-topological gravity. While the full equations in a general background are fourth-order in derivatives, we show that the linearized equations describing gravitons propagating in the AdS vacua match precisely the second-order equations of Einstein gravity.

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Cited by 4 Pith papers

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  1. Cosmologically viable non-polynomial quasi-topological gravity: explicit models, $\Lambda$CDM limit and observational constraints

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    Non-polynomial quasi-topological gravity models reproduce the standard thermal history, generate dynamical dark energy of geometric origin, and fit supernova, cosmic chronometer, and BAO data competitively with ΛCDM.

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    Generic 2D Horndeski theories arise from dimensional reduction of d≥4 gravities, yielding a Birkhoff theorem for quasi-topological gravities where static spherically symmetric solutions satisfy g_tt g_rr = -1 and are ...

  3. Charged Black Holes in Quasi-Topological Gravity Coupled to Born-Infeld Nonlinear Electrodynamics

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    Exact charged black hole solutions in quasi-topological gravity with Born-Infeld electrodynamics are constructed, revealing model-dependent interior regularity with some cases singular and others regular but with AdS cores.

  4. From Ringdown to Lensing: Analytic Eikonal Modes of Quasi-Topological Regular Black Holes

    gr-qc 2026-04 unverdicted novelty 5.0

    Analytic quasinormal-mode expressions and explicit QNM-shadow-lensing correspondence for four-dimensional quasi-topological regular black holes.