Damping of gravitational waves in 2-2-holes

Holdom, Bob

doi:10.1016/j.physletb.2020.136023

Cited by 7 publications

(2 citation statements)

References 18 publications

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“…For this in section 3, we resort to a formal power series analysis to obtain solutions both near the origin and far from the origin. Such an analysis shows the presence of a singular (2, 2 solution similar to the one discussed extensively in [22][23][24] for quadratic gravity. Additionally, we also report in more detail the existence of regular (0, 0) solutions.…”

Section: Jcap02(2023)029mentioning

confidence: 61%

The fate of horizons under quantum corrections

Álvarez

Anero²,

Velasco-Aja³

2023

J. Cosmol. Astropart. Phys.

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In this paper, we study the physical effects of deforming the usual Einstein-Hilbert lagrangian with the Goroff-Sagnotti counterterm (the first which is nonvanishing on shell). Only spherically symmetric solutions are discussed. The facts that Schwarzschild's spacetime is not a solution to the corresponding equations of motion and Birkhoff's theorem validity are analyzed and some consequences worked out.

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Section: Jcap02(2023)029mentioning

confidence: 61%

The fate of horizons under quantum corrections

Álvarez

Anero²,

Velasco-Aja³

2023

J. Cosmol. Astropart. Phys.

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“…Alternatively, a stronger probe of the reflectivity is provided by waves that propagate toward the horizon of the final (remnant) black hole after the merger of two black holes-in the form of repeated GW echoes at late times in the ringdown signal of a binary merger event [34][35][36][37][38][39][40][41][42][43][44][45]. Following this line of thought, the gravitational echoes have been extensively studied in different models of nearhorizon structures [46][47][48][49][50][51][52][53]. Even though the idea of ECOs might be speculative, one can always regard the search for ECOs as one to quantify the darkness of the final objects in binary merger events, and in this way its importance cannot be overstated.…”

Section: Introductionmentioning

confidence: 99%

Tidal response and near-horizon boundary conditions for spinning exotic compact objects

2021

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Teukolsky equations for jsj ¼ 2 provide efficient ways to solve for curvature perturbations around Kerr black holes. Imposing regularity conditions on these perturbations on the future (past) horizon corresponds to imposing an ingoing (outgoing) wave boundary condition. For exotic compact objects (ECOs) with external Kerr spacetime, however, it is not yet clear how to physically impose boundary conditions for curvature perturbations on their boundaries. We address this problem using the membrane paradigm, by considering a family of zero-angular-momentum fiducial observers (FIDOs) that float right above the horizon of a linearly perturbed Kerr black hole. From the reference frame of these observers, the ECO will experience tidal perturbations due to ingoing gravitational waves, respond to these waves, and generate outgoing waves. As it also turns out, if both ingoing and outgoing waves exist near the horizon, the Newman-Penrose (NP) quantity ψ 0 will be numerically dominated by the ingoing wave, while the NP quantity ψ 4 will be dominated by the outgoing wave-even though both quantities contain full information regarding the wave field. In this way, we obtain the ECO boundary condition in the form of a relation between ψ 0 and the complex conjugate of ψ 4 , in a way that is determined by the ECO's tidal response in the FIDO frame. We explore several ways to modify gravitational-wave dispersion in the FIDO frame and deduce the corresponding ECO boundary condition for Teukolsky functions. Using the Starobinsky-Teukolsky identity, we subsequently obtain the boundary condition for ψ 4 alone, as well as for the Sasaki-Nakamura and Detweiler functions. As it also turns out, the reflection of spinning ECOs will generically mix between different l components of the perturbation fields, and it will be different for perturbations with different parities. It is straightforward to apply our boundary condition to computing gravitational-wave echoes from spinning ECOs, and to solve for the spinning ECOs' quasinormal modes.

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2-2-holes simplified

Holdom

2022

Physics Letters B

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Damping of gravitational waves in 2-2-holes

Cited by 7 publications

References 18 publications

The fate of horizons under quantum corrections

The fate of horizons under quantum corrections

Tidal response and near-horizon boundary conditions for spinning exotic compact objects

2-2-holes simplified

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