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Scalaron-modified null focusing and radial monotonicity in static f(R) gravity

Muñoz-Palma, Maickol et al.
arXiv (All) · Papers
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general-relativity-and-quantum-cosmology
We derive an exact radial monotonicity law for static, spherically symmetric spacetimes in metric \(f(R)\) gravity. For \(ds^2=A(r)dt^2-dr^2/B(r)-r^2dΩ^2\), the matter contribution and the scalaron Hessian combine into an effective radial-convergence numerator that fixes the derivative of \(\Q=B/A\)
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