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This paper investigates the inverse problems of determining a space-dependent source for thermoelastic systems of type III under adequate time-averaged or final-in-time measurements and conditions on the time-dependent part of the sought…

Numerical Analysis · Mathematics 2025-04-25 Frederick Maes , Karel Van Bockstal

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

Isostasy explains why observed gravity anomalies are generally much weaker than what is expected from topography alone, and why planetary crusts can support high topography without breaking up. Classical isostasy, however, neglects internal…

Earth and Planetary Astrophysics · Physics 2021-05-21 Mikael Beuthe

We estimate the accuracy in the measurement of the tidal Love number of a supermassive compact object through the detection of an extreme mass ratio inspiral~(EMRI) by the future LISA mission. A nonzero Love number would be a smoking gun…

General Relativity and Quantum Cosmology · Physics 2023-02-01 Gabriel Andres Piovano , Andrea Maselli , Paolo Pani

Tides are the main driving force behind the long-term evolution of planetary systems. The associated energy dissipation and momentum exchanges are commonly described by Love numbers, which relate the exciting potential to the tidally…

Earth and Planetary Astrophysics · Physics 2025-02-05 Pierre Auclair-Desrotour , Gwenaël Boué , Baptiste Loire

We investigate the linear static response of three covariant loop quantum black holes, namely, the two models proposed by Zhang, Lewandowski, Ma, and Yang (ZLMY) and the Alonso-Bardaji, Brizuela, and Vera (ABV) model, to an external tidal…

General Relativity and Quantum Cosmology · Physics 2025-05-22 Meysam Motaharfar , Parampreet Singh

We present a framework for systematic computations of scattering amplitudes for gravitational Raman scattering, -- the inelastic scattering of massless fields off compact relativistic objects. We focus on the small-frequency…

High Energy Physics - Theory · Physics 2026-02-09 Mikhail M. Ivanov , Yue-Zhou Li , Julio Parra-Martinez , Zihan Zhou

We investigate the nonlinear tidal response of relativistic neutron stars by computing the fully relativistic, static, quadratic Love numbers. Using both the worldline effective field theory for extended gravitating bodies and second-order…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Paolo Pani , Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

Tidal Love numbers and other response coefficients of black holes sometimes exhibit a logarithmic dependence on scale, or 'running'. We clarify that this coefficient is directly calculable from the structure of the equation obeyed by the…

General Relativity and Quantum Cosmology · Physics 2025-12-23 Sebastian Garcia-Saenz , Hongbo Lin

The response of a gravitating object to an external tidal field is encoded in its Love numbers, which identically vanish for classical blackholes (BHs). Here we show, using standard time-independent quantum perturbation theory, that for a…

General Relativity and Quantum Cosmology · Physics 2022-01-20 Ram Brustein , Yotam Sherf

We present the conservative effective two-body Hamiltonian at the third order in the post-Newtonian expansion with gravitoelectric quadrupolar dynamical tidal-interactions. Our derivation of the effective two-body Lagrangian is based on the…

High Energy Physics - Theory · Physics 2024-02-28 Manoj K. Mandal , Pierpaolo Mastrolia , Hector O. Silva , Raj Patil , Jan Steinhoff

Efficient and accurate numerical algorithms are developed to solve a generalized Kirchhoff-Love plate model subject to three common physical boundary conditions: (i) clamped; (ii) simply supported; and (iii) free. We solve the model…

Numerical Analysis · Mathematics 2020-08-05 Duong T. A. Nguyen , Longfei Li , Hangjie Ji

Massive states produce higher derivative corrections to Einstein gravity in the infrared, which are encoded into operators of the Effective Field Theory (EFT) of gravity. These EFT operators modify the geometry and affect the tidal…

High Energy Physics - Theory · Physics 2025-07-24 Sergio Barbosa , Philippe Brax , Sylvain Fichet , Lucas de Souza

We study the axial (magnetic) tidal Love numbers of a Schwarzschild black hole surrounded by a spherically symmetric matter distribution. While the formalism developed here is general, we specialize to the case of anisotropic fluids as a…

General Relativity and Quantum Cosmology · Physics 2026-05-05 Simone D'Onofrio , Sayak Datta , Andrea Maselli

As a possible alternative to black holes, horizonless compact objects have significant implications for gravitational-wave physics. In this work, we utilize the standard linearized theory of general relativity to calculate the quadrupolar…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Rui-Xin Yang , Fei Xie , Dao-Jun Liu

A relativistic theory of surficial Love numbers, which characterize the surface deformation of a body subjected to tidal forces, was initiated by Damour and Nagar. We revisit this effort in order to extend it, clarify some of its aspects,…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Philippe Landry , Eric Poisson

In this paper we solve an inverse resonance problem for the half-solid with vanishing stresses on the surface: Lamb's problem. Using a semi-classical approach we are able to simplify this three-dimensional problem of the elastic wave…

Spectral Theory · Mathematics 2024-10-14 Samuele Sottile

The coupling between the angular momentum of a compact object and an external tidal field gives rise to the "rotational" tidal Love numbers, which affect the tidal deformability of a spinning self-gravitating body and enter the…

General Relativity and Quantum Cosmology · Physics 2021-08-25 Gonçalo Castro , Leonardo Gualtieri , Paolo Pani

We construct a novel effective field theory for a compact body coupled to gravity, whose key feature is that the dynamics of gravitational perturbations is explicitly determined by known solutions in black hole perturbation theory in four…

High Energy Physics - Theory · Physics 2025-12-04 Dimitrios Kosmopoulos , Davide Perrone , Mikhail Solon

We carefully develop the framework required to model the dynamical tidal response of a spinning neutron star in an inspiralling binary system, in the context of Newtonian gravity, making sure to include all relevant details and connections…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Pantelis Pnigouras , Fabian Gittins , Amlan Nanda , Nils Andersson , David Ian Jones