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Towards numerical relativity in scalar Gauss-Bonnet gravity: 3+1 decomposition beyond the small-coupling limit

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arxiv 2004.00009 v1 pith:XTWTAFD3 submitted 2020-03-31 gr-qc hep-th

Helvi Witek , Leonardo Gualtieri , Paolo Pani This is my paper
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keywords equationsfieldrelativitytheorycorrectionsdecompositiongauss-bonnetgravity
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Scalar Gauss-Bonnet gravity is the only theory with quadratic curvature corrections to general relativity whose field equations are of second differential order. This theory allows for nonperturbative dynamical corrections and is therefore one of the most compelling case studies for beyond-general relativity effects in the strong-curvature regime. However, having second-order field equations is not a guarantee for a healthy time evolution in generic configurations. As a first step towards evolving black-hole binaries in this theory, we here derive the 3+1 decomposition of the field equations for any (not necessarily small) coupling constant and we discuss potential challenges of its implementation.

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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. Signatures from metastable oppositely-charged black hole binaries in scalar Gauss-Bonnet gravity

    gr-qc 2025-05 conditional novelty 7.0 of 10

    In scalar Gauss-Bonnet gravity, inspiraling black holes with opposite scalar charges can undergo a sudden charge-flip, changing scalar radiation from dipolar to quadrupolar and inducing orbital eccentricity.

  2. Challenges in the nonlinear evolution of unequal mass binaries in sGB gravity

    gr-qc 2025-07 conditional novelty 6.0 of 10

    First full merger simulations of 2:1 and 3:1 black hole binaries in scalar-Gauss-Bonnet gravity, with weak-coupling dephasing matching PN predictions but strong-coupling results limited by initial-data transients.

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