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Perturbed black holes in Einstein-dilaton-Gauss-Bonnet gravity: Stability, ringdown, and gravitational-wave emission

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arxiv 1609.01286 v3 pith:F3OKC227 submitted 2016-09-05 gr-qc astro-ph.HEhep-phhep-th

classification gr-qcastro-ph.HEhep-phhep-th
keywords blackholestheoryemissiongeneralgravitationalgravitational-wavegravity
verification ladder T0 review T1 audit T2 compute T3 formal
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Gravitational waves emitted by distorted black holes---such as those arising from the coalescence of two neutron stars or black holes---carry not only information about the corresponding spacetime but also about the underlying theory of gravity. Although general relativity remains the simplest, most elegant and viable theory of gravitation, there are generic and robust arguments indicating that it is not the ultimate description of the gravitational universe. Here we focus on a particularly appealing extension of general relativity, which corrects Einstein's theory through the addition of terms which are second order in curvature: the topological Gauss-Bonnet invariant coupled to a dilaton. We study gravitational-wave emission from black holes in this theory, and {\bf(i)} find strong evidence that black holes are linearly (mode) stable against both axial and polar perturbations; {\bf(ii)} discuss how the quasinormal modes of black holes can be excited during collisions involving black holes, and finally {\bf(iii)} show that future ringdown detections with large signal-to-noise ratio would improve current constraints on the coupling parameter of the theory.

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Cited by 5 Pith papers

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  1. Gravitational quasinormal modes of black holes in quadratic gravity

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    Axial gravitational quasinormal modes are computed for Schwarzschild and hairy black holes in Einstein-Weyl gravity, showing stability and new massive spin-2 tones.

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  3. Resumming Kerr Quasinormal-Mode Frequencies: Accuracy and Breakdown Near Extremality

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    Padé-resummed high-order WKB yields sub-10^{-7} Kerr QNM errors for damped modes up to a=0.99, but breaks down for zero-damped modes because near-horizon poles spoil the local peak expansion.

  4. Polar perturbations of dilaton-Euler-Heisenberg black holes

    gr-qc 2026-01 conditional novelty 6.0 of 10

    Every computed fundamental quasinormal frequency for polar metric-dilaton perturbations of dilaton-Euler-Heisenberg black holes has a negative imaginary part, meaning the modes are damped, with ε=+1 and ε=−1 differing...

  5. Computing spectral shifts for Johannsen-Psaltis black holes

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    Slowly rotating Johannsen–Psaltis black holes have definite-parity quasinormal modes with even/odd frequency shifts split by the deviation parameter, computed here through ℓ=10.

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