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Nonlinear Dynamics of Quadratic Gravity in Spherical Symmetry

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arxiv 2104.04010 v2 pith:OEI5K2YG submitted 2021-04-08 gr-qc

Aaron Held , Hyun Lim This is my paper · ORCID
classification gr-qc
keywords evolutiongaugegravityharmonicnonlinearnumericallyquadraticspherical
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We present the first numerically stable nonlinear evolution for the leading-order gravitational effective field theory (Quadratic Gravity) in the spherically-symmetric sector. The formulation relies on (i) harmonic gauge to cast the evolution system into quasi-linear form (ii) the Cartoon method to reduce to spherical symmetry in keeping with harmonic gauge, and (iii) order-reduction to 1st-order (in time) by means of introducing auxiliary variables. Well-posedness of the respective initial-value problem is numerically confirmed by evolving randomly perturbed flat-space and black-hole initial data. Our study serves as a proof-of-principle for the possibility of stable numerical evolution in the presence of higher derivatives.

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Cited by 2 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. 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.

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