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The Laser Interferometric Space Antenna (LISA) will observe supermassive black hole binary mergers with amplitude signal-to-noise ratio of several thousands. We investigate the extent to which such observations afford high-precision tests…

General Relativity and Quantum Cosmology · Physics 2010-11-05 K. G. Arun , B. R. Iyer , M. S. S. Qusailah , B. S. Sathyaprakash

The multipole moments and the tidal Love numbers of neutron stars and quark stars satisfy certain relations which are almost insensitive to the star's internal structure. A natural question is whether the same relations hold for different…

General Relativity and Quantum Cosmology · Physics 2017-01-24 Paolo Pani

We show that rotating black holes do not experience any tidal deformation when they are perturbed by a weak and adiabatic gravitational field. The tidal deformability of an object is quantified by the so-called "Love numbers", which…

General Relativity and Quantum Cosmology · Physics 2021-07-14 Horng Sheng Chia

We calculate the tidal Love numbers of black holes and neutron stars in the presence of higher dimensions. The perturbation equations around an arbitrary static and spherically symmetric metric for the even parity modes are presented in the…

General Relativity and Quantum Cosmology · Physics 2019-01-30 Kabir Chakravarti , Sumanta Chakraborty , Sukanta Bose , Soumitra SenGupta

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

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

Black holes in four-dimensional, asymptotically flat general relativity have vanishing static tidal Love numbers (TLNs), a property tied to a hidden symmetry of the perturbation equations. Within the Konoplya-Rezzolla-Zhidenko (KRZ)…

General Relativity and Quantum Cosmology · Physics 2026-02-17 Chanchal Sharma , Shuvayu Roy , Sudipta Sarkar

We investigate the tidal response of Kerr black holes in four-dimensional space-times subjected to external gravitational fields. Using the Ernst formalism and Weyl coordinates, we analyze the non-linear tidal deformation of rotating black…

General Relativity and Quantum Cosmology · Physics 2024-12-12 L. -R. Gounis , A. Kehagias , A. Riotto

Observations of the inspiral of massive binary black holes (BBH) in the Laser Interferometer Space Antenna (LISA) and stellar mass binary black holes in the European Gravitational-Wave Observatory (EGO) offer an unique opportunity to test…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. G. Arun , B. R. Iyer , M. S. S. Qusailah , B. S. Sathyaprakash

The inspirals of ``small'' ($1 - 100 M_\odot$) compact bodies through highly relativistic orbits of massive (several $\times 10^5 M_\odot -$ several $\times 10^6 M_\odot$) black holes are among the most anticipated sources for the LISA…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Scott A. Hughes

We show how the model of pseudo-complex general relativity can be tested using gravitational wave signals from coalescing compact objects. The model, which agrees with Einstein gravity in the weak-field limit, diverges dramatically in the…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Alex B. Nielsen , Ofek Birnholtz

Extreme-mass-ratio-inspiral observations from future space-based gravitational-wave detectors such as LISA will enable strong-field tests of general relativity with unprecedented precision, but at prohibitive computational cost if existing…

General Relativity and Quantum Cosmology · Physics 2018-06-07 Alvin J. K. Chua , Sonke Hee , Will J. Handley , Edward Higson , Christopher J. Moore , Jonathan R. Gair , Michael P. Hobson , Anthony N. Lasenby

In General Relativity, the static tidal Love numbers of black holes vanish identically. Whether this remains true for time-dependent tidal fields -- i.e., in the case of dynamical tidal Love numbers -- is an open question, complicated by…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Sumanta Chakraborty , Valerio De Luca , Leonardo Gualtieri , Paolo Pani

Gravitational waves from compact binary coalescences provide a unique laboratory to test properties of compact objects. As alternatives to the ordinary black holes in general relativity, various exotic compact objects have been proposed.…

General Relativity and Quantum Cosmology · Physics 2025-04-03 Tatsuya Narikawa , Nami Uchikata , Takahiro Tanaka

The foundation for modeling the coupling of the internal structure of compact objects in binary systems to their dynamics and emitted gravitational waves is a systematic effective field theory (EFT) framework, where each compact object is…

General Relativity and Quantum Cosmology · Physics 2026-05-04 Sumanta Chakraborty , M. V. S Saketh , Tanja Hinderer , Jan Steinhoff

Exotic compact objects can be difficult to distinguish from black holes in the inspiral phase of the binaries observed by gravitational-wave detectors, but significant differences may be present in the merger and post-merger signal. We…

General Relativity and Quantum Cosmology · Physics 2021-04-13 Alexandre Toubiana , Stanislav Babak , Enrico Barausse , Luis Lehner

We study gravitational lensing by compact objects in gravity theories that can be written in a Post-Post-Newtonian (PPN) framework: i.e., the metric is static and spherically symmetric, and can be written as a Taylor series in m/r, where m…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Charles R. Keeton , A. O. Petters

We present a consistent mapping between tidal deformability coefficients (tidal Love numbers) and Wilson coefficients in effective field theory (EFT) descriptions of higher-curvature theories of gravity. In this work, we focus on the…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Luohan Wang , Luis Lehner , Maitá Micol , Riccardo Sturani

The inclusion of finite-size effects in the gravitational waveform templates allows not only to constrain the internal structure of compact objects, but to test deviations from general relativity. Here, we address the problem of tidal…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

The tidal Love numbers of a black hole vanish, and this is often taken to imply that the hole's tidally induced multipole moments vanish also. An obstacle to establishing a link between these statements is that the multipole moments of…

General Relativity and Quantum Cosmology · Physics 2021-12-08 Eric Poisson