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Nonlocal action for long-distance modifications of gravity theory

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arxiv hep-th/0304229 v3 pith:4M4NSZFR submitted 2003-04-28 hep-th

classification hep-th
keywords actionnonlocalcosmologicalcovariantformgravitylong-distancemodifications
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We construct the covariant nonlocal action for recently suggested long-distance modifications of gravity theory motivated by the cosmological constant and cosmological acceleration problems. This construction is based on the special nonlocal form of the Einstein-Hilbert action explicitly revealing the fact that this action within the covariant curvature expansion begins with curvature-squared terms. Nonlocal form factors in the action of both quantum and brane-induced nature are briefly discussed. In particular, it is emphasized that for certain class of quantum initial value problems nonlocal nature of the Euclidean action does not contradict the causality of effective equations of motion.

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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. Spherically symmetric solutions in quasi-local Einstein-Weyl gravity

    gr-qc 2025-12 conditional novelty 7.0 of 10

    In quasi-local Einstein-Weyl gravity, static spherically symmetric Frobenius solutions are classified: regular cores only, Schwarzschild-like horizons and wormhole throats, plus asymptotic 1/r^6 corrections to Schwarzschild.

  2. Nonlocal gravity in a proper tetrad frame: traversable wormholes

    gr-qc 2025-01 conditional novelty 6.0 of 10

    Static, spherically symmetric traversable wormholes are built in revised Deser-Woodard nonlocal gravity by reconstructing the theory's distortion function from chosen wormhole metrics.

  3. Hawking area law in quantum gravity

    gr-qc 2026-04 unverdicted novelty 5.0 of 10

    If Hawking's area law is taken as exact, nonlocal and Stelle quantum-gravity theories are forced to drop R^2 and (Riemann)^2 terms (or use singular Ricci-flat black holes), and the standard entropy-area law follows as...

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