Asymptotically flat black hole solutions in quadratic gravity

Saueressig, Frank; Galis, Mina; Daas, Jesse; Khosravi, Amir

doi:10.1142/s0218271821420153

Cited by 10 publications

(7 citation statements)

References 18 publications

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“…It would be interesting to actually identify a theory of modified gravity which naturally gives rise to such configurations. One of the best-explored phase spaces, comprising black hole type solutions in quadratic gravity, does not support such features [43][44][45][46][47].…”

Section: Discussionmentioning

confidence: 99%

“…The divergence of m+ induces a divergence in the curvature scalars when the shell impacts on the apparent Cauchy horizon. The dynamics following from initial conditions imposed at late times differs drastically: in this case m+(v) reaches the attractor regime (47), indicated by the dashed line. As a result K|Σ remains constant and C 2 |Σ vanishes at asymptotically late times, cf.…”

Section: Other Regular Black Hole Geometriesmentioning

confidence: 99%

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Regular black holes with stable cores

2021

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Non-singular black hole geometries typically come with two spacetime horizons: an (outer) event horizon and an (inner) Cauchy horizon. This nurtures the speculation that they may be subject to a mass-inflation effect which renders the Cauchy horizon unstable. We analyze the dynamics associated with spherically symmetric, regular black holes taking the full backreaction between the infalling matter and geometry into account. On this basis, we identify the crucial features taming the growth of the mass function and diminishing the curvature singularity at the Cauchy horizon. It is demonstrated explicitly that the regular black hole solutions proposed by Hayward and obtained from Asymptotic Safety satisfy these properties.

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Section: Discussionmentioning

confidence: 99%

Section: Other Regular Black Hole Geometriesmentioning

confidence: 99%

Regular black holes with stable cores

2021

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“…Two observations are in order. Firstly, (51) gives rise to a polynomial Pðm þ Þ which is quadratic in m þ . Moreover, a comparison to the curvature invariants given in Table II shows that the factor 9m þ þ R 3 þ 2R is the one appearing in the denominators of K and C 2 .…”

Section: Other Regular Black Hole Geometriesmentioning

confidence: 99%

Regular evaporating black holes with stable cores

2023

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We reply to the "Comment" on "Regular evaporating black holes with stable cores" by R. Carballo-Rubio, F. Di Filippo, S. Liberati, C. Pacilio, and M. Visser. As a key result, we show that the regime of mass-inflation identified in the comment connects smoothly to the late-time attractors discovered in our works [A. Bonanno et. al., Regular black holes with stable cores, Phys. Rev. D 103, 124027 (2021) and Regular evaporating black holes with stable cores, Phys. Rev. D 107, 024005 (2023)]. Hence, the late-time stability of regular black holes is not affected by this intermediate phase.

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“…The corrections to the Schwarzschild metric thus decrease exponentially as r → ∞. Therefore, they escape the classification with the standard Frobenius method [58].…”

Section: Asymptotic Flatnessmentioning

confidence: 98%

Probing Quadratic Gravity with the Event Horizon Telescope

Daas¹,

Kuijpers²,

Saueressig³

et al. 2022

Preprint

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Quadratic gravity constitutes a prototypical example of a perturbatively renormalizable quantum theory of the gravitational interactions. In this work, we construct the associated phase space of static, spherically symmetric, and asymptotically flat spacetimes. It is found that the Schwarzschild geometry is embedded in a rich solution space comprising horizonless, naked singularities and wormhole solutions. Characteristically, the deformed solutions follow the Schwarzschild solution up outside of the photon sphere while they differ substantially close to the center of gravity. We then carry out an analytic analysis of observable signatures accessible to the Event Horizon Telescope, comprising the size of the black hole shadow as well as the radiation emitted by infalling matter. On this basis, we argue that it is the brightness within the shadow region which constrains the phase space of solutions. Our work constitutes the first step towards bounding the phase space of black hole type solutions with a clear quantum gravity interpretation based on observational data.

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Asymptotically flat black hole solutions in quadratic gravity

Cited by 10 publications

References 18 publications

Regular black holes with stable cores

Regular black holes with stable cores

Regular evaporating black holes with stable cores

Probing Quadratic Gravity with the Event Horizon Telescope

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