Tidal Love numbers and Green's functions in black hole spacetimes

V De Luca, A Garoffolo, J Khoury, M Trodden - Physical Review D, 2024 - APS
Tidal interactions play a crucial role in deciphering gravitational wave signals emitted by the
coalescence of binary systems. They are usually quantified by a set of complex coefficients …

Quasinormal modes and strong cosmic censorship

V Cardoso, JL Costa, K Destounis, P Hintz, A Jansen - Physical review letters, 2018 - APS
The fate of Cauchy horizons, such as those found inside charged black holes, is intrinsically
connected to the decay of small perturbations exterior to the event horizon. As such, the …

Black hole perturbation theory meets : Kerr-Compton amplitudes from Nekrasov-Shatashvili functions

YF Bautista, G Bonelli, C Iossa, A Tanzini, Z Zhou - Physical Review D, 2024 - APS
We present a novel study of Kerr Compton amplitudes in a partial wave basis in terms of the
Nekrasov-Shatashvili (NS) function of the confluent Heun equation (CHE). Remarkably, NS …

Late-time asymptotics for the wave equation on spherically symmetric, stationary spacetimes

Y Angelopoulos, S Aretakis, D Gajic - Advances in Mathematics, 2018 - Elsevier
We derive precise late-time asymptotics for solutions to the wave equation on spherically
symmetric, stationary and asymptotically flat spacetimes including as special cases the …

Late-time tails and mode coupling of linear waves on Kerr spacetimes

Y Angelopoulos, S Aretakis, D Gajic - Advances in Mathematics, 2023 - Elsevier
We provide a rigorous derivation of the precise late-time asymptotics for solutions to the
scalar wave equation on subextremal Kerr backgrounds, including the asymptotics for …

Boundedness and decay for the Teukolsky equation on Kerr in the full subextremal range : frequency space analysis

Y Shlapentokh-Rothman, RT da Costa - arXiv preprint arXiv:2007.07211, 2020 - arxiv.org
This paper is the first of a series regarding the Teukolsky equation of spin $\pm 1$ and spin
$\pm 2$ on Kerr backgrounds in the full subextremal range of parameters $| a|< M $. In the …

Excitation of quadratic quasinormal modes for Kerr black holes

S Ma, H Yang - Physical Review D, 2024 - APS
The excitation of quadratic quasinormal modes is an important nonlinear phenomenon for a
Kerr black hole ringing at a specific linear mode. The amplitude of this second-order effect is …

On the relation between asymptotic charges, the failure of peeling and late-time tails

D Gajic, LMA Kehrberger - Classical and Quantum Gravity, 2022 - iopscience.iop.org
The last few years have seen considerable mathematical progress concerning the
asymptotic structure of gravitational radiation in dynamical, astrophysical spacetimes. In this …

A perturbative perspective on self-supporting wormholes

Z Fu, B Grado-White, D Marolf - Classical and Quantum Gravity, 2019 - iopscience.iop.org
We describe a class of wormholes that generically become traversable after incorporating
gravitational back-reaction from linear quantum fields satisfying appropriate (periodic or anti …

Mode stability for the Teukolsky equation on extremal and subextremal Kerr spacetimes

R Teixeira da Costa - Communications in Mathematical Physics, 2020 - Springer
We prove that there are no exponentially growing modes nor modes on the real axis for the
Teukolsky equation on Kerr black hole spacetimes, both in the extremal and subextremal …