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Some aspects of field equations in generalised theories of gravity

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arxiv 1109.3846 v2 pith:P5RTLWLY submitted 2011-09-18 gr-qc astro-ph.COhep-th

Some aspects of field equations in generalised theories of gravity

classification gr-qc astro-ph.COhep-th
keywords gravitymodelsclasscurvatureseveralsometheoriesaspects
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A class of theories of gravity based on a Lagrangian which depends on the curvature and metric - but not on the derivatives of the curvature tensor - is of interest in several contexts including in the development of the paradigm that treats gravity as an emergent phenomenon. This class of models contains, as an important subset, all Lanczos-Lovelock models of gravity. I derive several identities and properties which are useful in the study of these models and clarify some of the issues that seem to have received insufficient attention in the past literature.

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  1. Regular Black Holes in Nonlocal Quasitopological Gravity

    gr-qc 2026-07 accept novelty 7.0

    Infinite-derivative completions of quasitopological gravities are ghost-free, avoid strong coupling, and admit exact spherically symmetric vacuum regular black holes obeying a perturbative Birkhoff theorem.