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On Quadratic Gravity

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arxiv 2112.01974 v1 pith:NFAZFDE5 submitted 2021-12-03 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords gravityquadraticcontinuesfundamentalquantumactionbecausebrief
verification ladder T0 review T1 audit T2 compute T3 formal
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We provide a brief overview of what is known about Quadratic Gravity, which includes terms quadratic in the curvatures in the fundamental action. This is proposed as a renormalizeable UV completion for quantum gravity which continues to use the metric as the fundamental dynamical variable. However, there are unusual field-theoretic consequences because the propagators contain quartic momentum dependence. At the present stage of our understanding, Quadratic Gravity continues to be a viable candidate for a theory of quantum gravity.

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Cited by 7 Pith papers

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

  1. Gravitational quasinormal modes of black holes in quadratic gravity

    gr-qc 2024-12 conditional novelty 7.0 of 10

    Axial gravitational quasinormal modes are computed for Schwarzschild and hairy black holes in Einstein-Weyl gravity, showing stability and new massive spin-2 tones.

  2. Lorentz violating quadratic gravity

    hep-th 2026-03 reject novelty 6.0 of 10

    Bumblebee–quadratic gravity needs new Lorentz-violating counterterms at one loop, but the displayed computation has a gauge-parameter inconsistency and the classical Schwarzschild/de Sitter solutions are the robust part.

  3. Higher-Order Newton-Cartan Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    The authors derive non-relativistic Newton-Cartan limits of quadratic gravity theories, obtaining higher-order corrected Poisson equations for Einstein-Gauss-Bonnet and Ricci-squared gravity.

  4. Stability of cosmological singularity-free solutions in quadratic gravity

    gr-qc 2024-12 conditional novelty 6.0 of 10

    In the unstable branch of quadratic gravity, singularity-free bouncing cosmologies exist but their second-order action variation has negative eigenvalues, indicating instability and a possible transition to a Big Bang.

  5. Conformal Cores of Quantum Black Holes in Quadratic Gravity

    hep-th 2024-11 conditional novelty 6.0 of 10

    Exact complex power-law solutions of pure quadratic gravity, named powerballs, can match a Schwarzschild black hole just outside its horizon and give a finite-action model of the quantum interior.

  6. Thermodynamics of FLRW universe in Quadratic Gravity

    gr-qc 2025-07 reject novelty 5.0 of 10

    Quadratic-gravity terms are claimed to shift the thermodynamic phase structure of the FLRW apparent horizon, but the printed critical-radius formula does not follow from the paper's own equation of state.

  7. Remarks on ghost resonances

    hep-th 2025-01 conditional novelty 5.0 of 10

    For a ghost field above the multiparticle threshold, the dressed propagator carries a complex conjugate pole pair in the first Riemann sheet, and the paper derives spectral representations for both sheets while flaggi...

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