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Energy in Generic Higher Curvature Gravity Theories

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arxiv hep-th/0212292 v2 pith:WXAGUIBM submitted 2002-12-23 hep-th gr-qc

S. Deser , Bayram Tekin This is my paper · ORCID
classification hep-thgr-qc
keywords curvatureenergyconstantgravitytheorieshighervacuaabsence
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We define and compute the energy of higher curvature gravity theories in arbitrary dimensions. Generically, these theories admit constant curvature vacua (even in the absence of an explicit cosmological constant), and asymptotically constant curvature solutions with non-trivial energy properties. For concreteness, we study quadratic curvature models in detail. Among them, the one whose action is the square of the traceless Ricci tensor always has zero energy, unlike conformal (Weyl) gravity. We also study the string-inspired Einstein-Gauss-Bonnet model and show that both its flat and Anti-de-Sitter vacua are stable.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Entropic route to Brown-York tensor: A unified framework for null and timelike hypersurfaces

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    An entropy functional yields the Brown-York tensor via conjugate momentum projection, unifying null and timelike hypersurfaces and reproducing equations in scalar-tensor gravity.

  2. A Universal Smarr Formula via Coupling Constants

    gr-qc 2025-11 conditional novelty 4.0 of 10

    Coupling constants promoted to conserved charges make the Smarr formula work for black holes in NMG, Horndeski, MTZ, and higher-curvature gravity.

  3. Multinomial probit model based on joint quantile regression

    stat.ME 2025-08 unverdicted novelty 4.0 of 10

    The abstract proposes a Bayesian joint quantile regression version of the multinomial probit model for choice data, estimable by Gibbs sampling, but the attached full text is a different paper on higher-derivative gravity.

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