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Black holes in new massive conformal gravity

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abstract

We investigate the black holes in the new massive conformal gravity which is not invariant under conformal transformations because of the presence of the Einstein-Hilbert term. First, we show that the small Schwarzschild black hole is unstable against the $s$-mode of linearized Ricci tensor by solving the Lichnerowicz-Ricci tensor equation. This instability induces the appearance of the non-BBMB (Bocharova-Bronnikov-Melnikov-Bekenstein) black hole that has both Ricci tensor and conformal scalar hair.

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2025 1

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  • Semi-Analytic Trajectory Analysis of Light in Generic Static Spacetimes gr-qc · 2025-07-22 · conditional · none · ref 66 · internal anchor

    The authors present a generic weak-field lensing framework built from three known semi-analytic methods and apply it to a scalar hairy Reissner-Nordstrom black hole, recovering the standard deflection with q^2 = Q^2+Q_s^2.