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Related papers: Dynamical tidal Love numbers of Kerr-like compact …

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We derive the quadratic action for the physical degrees of freedom of massless spin-0, spin-1, and spin-2 perturbations on a Schwarzschild--(A)dS background in arbitrary dimensions. We then use these results to compute the static response…

High Energy Physics - Theory · Physics 2024-02-13 Lam Hui , Austin Joyce , Riccardo Penco , Luca Santoni , Adam R. Solomon

Linear waves in bounded inviscid fluids do not generally form normal modes with regular eigenfunctions. Examples are provided by inertial waves in a rotating fluid contained in a spherical annulus, and internal gravity waves in a stratified…

Astrophysics · Physics 2016-08-30 Gordon I. Ogilvie

We study tidal Love numbers of static black holes in four-dimensional quadratic theory of gravity, extending the result of GR. We use worldline effective field theory (WEFT) methods to compute metric perturbations from one-point functions,…

High Energy Physics - Theory · Physics 2025-11-25 Arpan Bhattacharyya , Saptaswa Ghosh , Naman Kumar , Shailesh Kumar , Sounak Pal

Ultracompact objects with light-rings (LRs) but without an event horizon could mimic black holes (BHs) in their strong gravity phenomenology. But are such objects dynamically viable? Stationary and axisymmetric ultracompact objects that can…

General Relativity and Quantum Cosmology · Physics 2023-02-10 Pedro V. P. Cunha , Carlos Herdeiro , Eugen Radu , Nicolas Sanchis-Gual

Black hole solutions of general relativity exhibit a symmetry for the static perturbations around these spacetimes, known as "ladder symmetry". This symmetry proves useful in constructing a tower of solutions for perturbations and…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Chanchal Sharma , Rajes Ghosh , Sudipta Sarkar

Observations of neutron stars and the precise measurement of their macroscopic properties have provided valuable insights into fundamental physics, both by constraining the behavior of nuclear matter under extreme conditions and by enabling…

General Relativity and Quantum Cosmology · Physics 2026-05-14 Jayana A. Saes , Abhishek Hegade K. R. , Nicolás Yunes

In this brief note, we clarify certain aspects related to the magnetic (i.e., odd parity or axial) tidal Love numbers of a star in general relativity. Magnetic tidal deformations of a compact star had been computed in 2009 independently by…

General Relativity and Quantum Cosmology · Physics 2018-12-20 Paolo Pani , Leonardo Gualtieri , Tiziano Abdelsalhin , Xisco Jiménez Forteza

Accreting neutron stars and black holes share a number of rapid variability characteristics, such as quasi-periodic oscillations and broad-band noise. The frequencies of these features were recently shown to be comparable to fundamental…

Astrophysics · Physics 2007-05-23 Dimitrios Psaltis , Colin Norman

In this article we consider a system of two Klein-Gordon equations, set on the $d$-dimensional box of size $L$, coupled through quadratic semilinear terms of strength $\varepsilon$ and evolving from well-prepared random initial data. We…

Analysis of PDEs · Mathematics 2025-04-01 Anne-Sophie de Suzzoni , Annalaura Stingo , Arthur Touati

We study the late-time behaviour of a dynamically perturbed rapidly rotating black hole. Considering an extreme Kerr black hole, we show that the large number of virtually undamped quasinormal modes (that exist for nonzero values of the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 K. Glampedakis , N. Andersson

We propose an approximate approach for studying the relativistic regime of stellar tidal disruptions by rotating massive black holes. It combines an exact relativistic description of the hydrodynamical evolution of a test fluid in a fixed…

High Energy Astrophysical Phenomena · Physics 2017-05-26 Emilio Tejeda , Emanuel Gafton , Stephan Rosswog , John C. Miller

This paper gives a survey of wave dynamics in the Kerr space-time geometry, the mathematical model of a rotating black hole in equilibrium. After a brief introduction to the Kerr metric, we review the separability properties of linear wave…

Mathematical Physics · Physics 2009-07-25 Felix Finster , Niky Kamran , Joel Smoller , Shing-Tung Yau

The tidal deformation of a neutron star in a binary inspiral driven by the emission of gravitational waves affects the orbital dynamics and produces a measurable modulation of the waves. Late in the inspiral, a regime of dynamical tides…

General Relativity and Quantum Cosmology · Physics 2025-06-11 Tristan Pitre , Eric Poisson

Black holes are the most compact objects in the Universe. According to general relativity, black holes have a horizon that hides a singularity where Einstein's theory breaks down. Recently, gravitational waves opened the possibility to…

General Relativity and Quantum Cosmology · Physics 2022-12-01 Elisa Maggio

We study tidal interactions in white dwarf binaries in the limiting case of quasi-static tides. The formalism is valid for arbitrary orbital eccentricities and therefore applicable to white dwarf binaries in the Galactic disk as well as…

Solar and Stellar Astrophysics · Physics 2011-02-11 B. Willems , C. J. Deloye , V. Kalogera

Loops of virtual particles from the vacuum of quantum field theory (QFT) render black holes tidally deformable. We compute the static tidal response of unspinning charged black holes at arbitrary radius, using the perturbative formalism…

High Energy Physics - Theory · Physics 2026-02-03 Sergio Barbosa , Sylvain Fichet , Lucas de Souza

We simulate the nonlinear hydrodynamical evolution of tidally-excited inertial waves in convective envelopes of rotating stars and giant planets modelled as spherical shells containing incompressible, viscous and adiabatically-stratified…

Solar and Stellar Astrophysics · Physics 2023-09-07 Aurélie Astoul , Adrian J. Barker

Planetary systems evolve over secular time scales. One of the key mechanisms that drive this evolution is tidal dissipation. Submitted to tides, stellar and planetary fluid layers do not behave like rocky ones. Indeed, they are the place of…

Earth and Planetary Astrophysics · Physics 2015-10-05 Pierre Auclair-Desrotour , Stéphane Mathis , Christophe Le Poncin-Lafitte

It was recently revealed that a rotating compact body responds dynamically when it is subjected to a gravitomagnetic tidal field, even when this field is idealized as time-independent. The dynamical response is characterized by…

General Relativity and Quantum Cosmology · Physics 2017-02-22 Eric Poisson , Jean Doucot

Proca stars (arXiv:1508.05395) are everywhere regular, asymptotically flat self-gravitating solitons composed of complex, massive vector bosons, forming a macroscopic, star-sized, Bose-Einstein condensate. They have been suggested as a…

General Relativity and Quantum Cosmology · Physics 2020-08-19 Carlos A. R. Herdeiro , Grigoris Panotopoulos , Eugen Radu
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