Tidal Love numbers of regular black holes are generically nonzero, model-dependent, and can acquire logarithmic scale dependence at higher perturbative orders.
Gravitational perturbations of non-singular black holes in conformal gravity
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abstract
It is believed that in the near future, gravitational wave detections will become a promising tool not only to test gravity theories, but also to probe extremely curved spacetime regions in our universe, such as the surroundings of black holes. In this paper, we investigate the quasinormal modes (QNMs) of the axial gravitational perturbations of a class of non-singular black holes conformally related to the Schwarzschild black hole. These non-singular black holes can be regarded as the vacuum solution of a family of conformal gravity theories which are invariant under conformal transformations. After conformal symmetry is broken, these black holes produce observational signatures different from those of the Schwarzschild black hole, such as their QNM frequencies. We assume that the spacetime is described by the Einstein equation with the effective energy momentum tensor of an anisotropic fluid. The master equation describing the QNMs is derived, and the QNM frequencies are evaluated with the Wentzel-Kramers-Brillouin (WKB) method up to the 6th order. As expected, the QNM spectra of these non-singular black holes deviate from those of the Schwarzschild black hole, indicating the possibility of testing these black hole solutions with the help of future gravitational wave detections.
fields
gr-qc 3years
2025 3verdicts
UNVERDICTED 3representative citing papers
Regular black holes are built by prescribing finite Ricci or Weyl scalars with Gaussian, sech, and rational profiles to ensure regularity and energy conditions, with stability shown to depend on the peak-to-valley ratio of the perturbation potential.
Axial quasinormal modes of regular black holes in asymptotically safe gravity are weakly affected by the deviation parameter for the fundamental mode but show notable deviations for higher overtones, with strong agreement between grey-body factors and QNMs for large multipole numbers.
citing papers explorer
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Tidal Love numbers for regular black holes
Tidal Love numbers of regular black holes are generically nonzero, model-dependent, and can acquire logarithmic scale dependence at higher perturbative orders.
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Finite Curvature Construction of Regular Black Holes and Quasinormal Mode Analysis
Regular black holes are built by prescribing finite Ricci or Weyl scalars with Gaussian, sech, and rational profiles to ensure regularity and energy conditions, with stability shown to depend on the peak-to-valley ratio of the perturbation potential.
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Quasinormal modes and grey-body factors of axial gravitational perturbations of regular black holes in asymptotically safe gravity
Axial quasinormal modes of regular black holes in asymptotically safe gravity are weakly affected by the deviation parameter for the fundamental mode but show notable deviations for higher overtones, with strong agreement between grey-body factors and QNMs for large multipole numbers.