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Gravitational decoupling, hairy black holes and conformal anomalies

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Hairy black holes in the gravitational decoupling setup are studied from the perspective of conformal anomalies. Fluctuations of decoupled sources can be computed by measuring the way the trace anomaly-to-holographic Weyl anomaly ratio differs from unit. Therefore the gravitational decoupling parameter governing three hairy black hole metrics is then bounded to a range wherein one can reliably emulate AdS/CFT with gravitational decoupled solutions, in the tensor vacuum regime.

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  • On static and rotating decoupled black holes without inner horizons gr-qc · 2024-12-01 · conditional · none · ref 29 · internal anchor

    The authors construct a family of static and rotating black hole metrics with an extra 1/r^n hair that, for negative hair parameter, removes the Cauchy horizon and makes the central singularity spacelike.