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Characterizing black hole metrics in quadratic gravity
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abstract
The recent discovery of non-Schwarzschild black hole spacetimes has opened new directions of research in higher-derivative gravitational theories. However, despite intense analytical and numerical efforts, the link with the linearized theory is still poorly understood. In this work we address this point for the Einstein-Weyl Lagrangian, whose weak field limit is characterized by the standard massless graviton and a spin-2 ghost. We show that the strength of the Yukawa term at infinity determines the thermal properties of the black hole and the structure of the singularity near $r=0$. Moreover, inspired by recent results in the Asymptotic Safety scenario we investigate the consequences of an imaginary ghost mass. In this case we find a countable set of solutions all characterized by spatial oscillations of typical wavelength determined by the mass of the spin-2 field.
Forward citations
Cited by 3 Pith papers
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Spherically symmetric solutions in quasi-local Einstein-Weyl gravity
In quasi-local Einstein-Weyl gravity, static spherically symmetric Frobenius solutions are classified: regular cores only, Schwarzschild-like horizons and wormhole throats, plus asymptotic 1/r^6 corrections to Schwarzschild.
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Spontaneous ghostification: how a dying black hole comes back as a naked singularity
An evaporating black hole in quadratic gravity may spontaneously turn into a stable naked singularity driven by a ghost-induced instability.
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Superradiance of Charged Static Black Hole in Cubic Gravity
A charged black hole in Einstein-cubic gravity, built from first-law consistency and a continued fraction metric, amplifies charged scalar waves below the standard Reissner-Nordstrom superradiance threshold, with stro...
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