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We investigate the measurement correlation between the effective spin and the effective tidal deformability in gravitational wave signals from binary neutron star mergers. To efficiently measure the effective tidal deformability parameter,…

General Relativity and Quantum Cosmology · Physics 2026-02-10 Souradeep Pal , K Rajesh Nayak

We describe a new class of resonances for extreme mass-ratio inspirals (EMRIs): tidal resonances, induced by the tidal field of nearby stars or stellar-mass black holes. A tidal resonance can be viewed as a general relativistic extension of…

General Relativity and Quantum Cosmology · Physics 2019-09-24 Béatrice Bonga , Huan Yang , Scott A. Hughes

Motivated by future opportunities in gravitational-wave astronomy and the ongoing effort to constrain physics under extreme conditions, we consider the signature of individual mode resonances excited during the inspiral of binary systems…

General Relativity and Quantum Cosmology · Physics 2025-08-11 P. Pnigouras , N. Andersson , F. Gittins , A. R. Counsell

We apply the Hilbert series to extend the gravitational action for a scalar field to a complete, non-redundant basis of higher-dimensional operators that is quadratic in the scalars and the Weyl tensor. Such an extension of the action fully…

High Energy Physics - Theory · Physics 2020-12-30 Kays Haddad , Andreas Helset

In this paper we show in a covariant and gauge invariant way that in general relativity, tidal forces are actually a hidden form of gravitational waves. This must be so because gravitational effects cannot occur faster than the speed of…

General Relativity and Quantum Cosmology · Physics 2020-09-15 Rituparno Goswami , George F. R. Ellis

Tidal interactions have a significant influence on the late dynamics of compact binary systems, which constitute the prime targets of the upcoming network of gravitational-wave detectors. We refine the theoretical description of tidal…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Donato Bini , Thibault Damour

We extend the gravitational self-force approach to encompass `self-interaction' tidal effects for a compact body of mass $\mu$ on a quasi-circular orbit around a black hole of mass $M \gg \mu$. Specifically, we define and calculate at…

General Relativity and Quantum Cosmology · Physics 2015-01-27 Sam R. Dolan , Patrick Nolan , Adrian C. Ottewill , Niels Warburton , Barry Wardell

We calculate the conversion from non-adiabatic, non-radial oscillations tidally induced by a hot Jupiter on a star to observable spectroscopic and photometric signals. Models with both frozen convection and an approximation for a…

Earth and Planetary Astrophysics · Physics 2020-11-11 Andrew Bunting , Caroline Terquem

We calculate the linear vacuum perturbations of a Kerr black hole surrounded by a slowly-varying external spacetime to third order in the ratio of the black-hole mass to the radius of curvature of the external spacetime. This expansion…

General Relativity and Quantum Cosmology · Physics 2013-02-13 Katerina Chatziioannou , Eric Poisson , Nicolas Yunes

We analyze the effect of weak field gravitational waves on the timing of pulsars, with particular attention to gauge invariance, that is, to the effects that are independent of the choice of coordinates. We find: (i) the Doppler shift…

Astrophysics · Physics 2014-11-18 Teviet Creighton , Fredrick A. Jenet , Richard H. Price

Time-dependent structures often appear in differential geometry, particularly in the study of non-autonomous differential equations on manifolds. One may study the geodesics associated with a time-dependent Riemannian metric by extremizing…

Differential Geometry · Mathematics 2026-01-21 Xavier Gràcia , Xavier Rivas , Daniel Torres

In this work we consider minimally-coupled boson stars immersed in a tidal environment and compute their tidal deformability to leading order. We also describe an approximate correspondence between Newtonian boson star configurations…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-22 Raissa F. P. Mendes , Huan Yang

Tidal effects have an important impact on the late inspiral of compact binary systems containing neutron stars. Most current models of tidal deformations of neutron stars assume that the tidal bulge is directly related to the tidal field…

General Relativity and Quantum Cosmology · Physics 2016-11-17 Jan Steinhoff , Tanja Hinderer , Alessandra Buonanno , Andrea Taracchini

Gravitational waves emitted in the late inspiral of binary neutron stars are affected by their tidal deformation. We study the tidal dynamics in full general relativity through matched-asymptotic expansions and prove that the dynamical…

General Relativity and Quantum Cosmology · Physics 2026-03-17 Abhishek Hegade K. R. , K. J. Kwon , Tejaswi Venumadhav , Hang Yu , Nicolás Yunes

The open question of whether a Kerr black hole can become tidally deformed or not has profound implications for fundamental physics and gravitational-wave astronomy. We consider a Kerr black hole embedded in a weak and slowly varying, but…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Alexandre Le Tiec , Marc Casals , Edgardo Franzin

Based on the idea of emergent spacetime, we consider the possibility that the material underlying our spacetime is modelled by a fluid. We are particularly interested in possible connections between the geometrical properties of the…

High Energy Physics - Theory · Physics 2011-05-10 Jianwei Mei

We present a unified derivation of covariant time derivatives, which transform as tensors under a time-dependent coordinate change. Such derivatives are essential for formulating physical laws in a frame-independent manner. Three specific…

Chaotic Dynamics · Physics 2009-11-07 Jean-Luc Thiffeault

Gravitational-wave observations in the near future may allow us to measure tidal deformabilities of neutron stars, which leads us to the understanding of physics at nuclear density. In principle, the gravitational waveform depends on…

General Relativity and Quantum Cosmology · Physics 2018-06-06 Kent Yagi

We have found a new class of time dependent partial waves which are solutions of time dependent Schr\"odinger equation for three dimensional harmonic oscillator. We also showed the decomposition of coherent states of harmonic oscillator…

Quantum Physics · Physics 2008-11-26 R. Arvieu , P. Rozmej , W. Berej

The early part of the gravitational wave signal of binary neutron star inspirals can potentially yield robust information on the nuclear equation of state. The influence of a star's internal structure on the waveform is characterized by a…

High Energy Astrophysical Phenomena · Physics 2011-02-28 Tanja Hinderer , Benjamin D. Lackey , Ryan N. Lang , Jocelyn S. Read