Analysis reveals how higher-derivative corrections alter compactness in ECOs, indicating significant astrophysical implications.
Higher-derivative gravity theories offer insights into the behavior of extremely compact objects (ECOs). Focusing on Gauss-Bonnet (GB) and Einstein-dilaton-Gauss-Bonnet (EdGB) gravity, we derive the compactness scale in these models and demonstrate how higher-curvature corrections lead to deviations from the standard ECO compactness scale. The corrections are of order α/r₀² in EGB gravity and α²/r₀⁴ in EdGB gravity, where α is the coupling constant and r₀ is the horizon radius corresponding to the mass of the ECO. Observational constraints suggest these effects could be significant in certain astrophysical systems, providing a new perspective on the nature of extremely compact objects in models of modified gravity.
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Madhur Mehta (2025) studied this question.
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