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A set of tidal Love numbers quantifies tidal deformation of compact objects and is a detectable imprint in gravitational waves from inspiralling binary systems. The measurement of black hole Love numbers allows to test strong-field gravity.…

General Relativity and Quantum Cosmology · Physics 2024-02-15 Takuya Katagiri , Tact Ikeda , Vitor Cardoso

The static tidal Love numbers of four-dimensional black holes vanish identically, unlike their nontrivial dynamical response at finite frequency. Recent work has provided three complementary descriptions of this phenomenon: an emergent…

High Energy Physics - Theory · Physics 2026-04-02 Naman Kumar

We present an analytic method for calculating the tidal response function of a nonrotating and a slowly rotating black hole from the Teukolsky equation in the small-frequency and near horizon limit. We point out that in the relativistic…

General Relativity and Quantum Cosmology · Physics 2023-10-12 Rajendra Prasad Bhatt , Sumanta Chakraborty , Sukanta Bose

The deformability of a compact object under the presence of a tidal perturbation is encoded in the tidal Love numbers (TLNs), which vanish for isolated black holes in vacuum. We show that the TLNs of black holes surrounded by matter fields…

General Relativity and Quantum Cosmology · Physics 2021-08-25 V. De Luca , P. Pani

We study one-loop divergences in Einstein-Maxwell theory and their implications for the weak gravity conjecture. In particular, we show that renormalization of these divergences leads to positivity of higher-derivative corrections to the…

High Energy Physics - Theory · Physics 2019-06-20 Anthony M. Charles

Effective field theory methods suggest that some rather-general extensions of General Relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary.…

General Relativity and Quantum Cosmology · Physics 2023-08-29 Vitor Cardoso , Masashi Kimura , Andrea Maselli , Leonardo Senatore

We investigate the tidal deformability of spherically symmetric axion stars on the stable branches, including the Newtonian and relativistic branches. The results suggest that on the stable branch, the electric Love numbers of axion star…

General Relativity and Quantum Cosmology · Physics 2023-11-21 Jun-Ru Chen , Shi-Xian Sun , Long-Xing Huang , Yong-Qiang Wang

We show that the static tidal Love number of Schwarzschild black holes in four dimensions and in the vacuum vanishes at any order in the external tidal force. We also identify the underlying non-linear symmetry which is responsible for this…

General Relativity and Quantum Cosmology · Physics 2024-10-16 Alex Kehagias , Antonio Riotto

The deformability of a compact object induced by a perturbing tidal field is encoded in the tidal Love numbers, which depend sensibly on the object's internal structure. These numbers are known only for static, spherically-symmetric…

General Relativity and Quantum Cosmology · Physics 2015-07-01 Paolo Pani , Leonardo Gualtieri , Andrea Maselli , Valeria Ferrari

This paper presents a new conformal symmetry of stationary, axisymmetric Kerr perturbations. This symmetry is exact but non-geometric (or "hidden"), and each of its generators has an associated infinite family of eigenstate solutions. Tidal…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Alexandru Lupsasca

We study the tidal deformability of horizonless exotic compact objects, with implications for area quantized black holes. Since, any such horizonless compact object, including area quantized black hole, possesses a non-zero reflectivity, it…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Sreejith Nair , Sumanta Chakraborty , Sudipta Sarkar

We derive the model of the Schwarzschild black hole immersed into a dark matter halo with a relativistic Hernquist profile, the Schwarzschild-Hernquist black hole, and obtain its tidal Love numbers and quasi-normal modes. We thoroughly…

General Relativity and Quantum Cosmology · Physics 2025-03-31 Sumanta Chakraborty , Geoffrey Compère , Ludovico Machet

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

Motivated by events in which black holes can lose their environment due to tidal interactions in a binary system, we develop a waveform model in which the tidal deformability interpolates between a finite value (dressed black hole) at…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Valerio De Luca , Andrea Maselli , Paolo Pani

Gravitational waves from compact binary coalescences are valuable for testing theories of gravity in the strong field regime. By measuring neutron star tidal deformability using gravitational waves from binary neutron stars, stringent…

General Relativity and Quantum Cosmology · Physics 2024-08-21 Stephanie M. Brown

Motivated by the desire to improve our understanding of the Weak Gravity Conjecture, we compute the one-loop correction of charged particles to the geometry and entropy of extremal black holes in 4d. We find that fermion loops provide…

High Energy Physics - Theory · Physics 2017-06-30 William Cottrell , Gary Shiu , Pablo Soler

Love numbers of compact objects quantify their tidal deformability against external perturbations. It is expected that Love numbers of asymptotically flat black holes (BHs) in General Relativity are identically zero. We show that quite…

General Relativity and Quantum Cosmology · Physics 2024-05-09 Sreejith Nair , Sumanta Chakraborty , Sudipta Sarkar

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 which include tidal Love numbers, describing the…

General Relativity and Quantum Cosmology · Physics 2024-09-10 Valerio De Luca , Alice Garoffolo , Justin Khoury , Mark Trodden

The tidal deformability is a key observable to test the nature of compact objects in a binary coalescence. Within vacuum General Relativity, the tidal Love numbers of a four-dimensional black hole are strictly zero, while they are non-zero…

General Relativity and Quantum Cosmology · Physics 2025-06-26 Michela Silvestrini , Elisa Maggio , Sumanta Chakraborty , Paolo Pani

Tidal Love numbers of anti-de Sitter black holes are understood as linear response coefficients governing how the holographically dual plasma polarizes when the geometry of the space, in which the plasma lives, is deformed. So far, this…

High Energy Physics - Theory · Physics 2024-11-01 Edgardo Franzin , Antonia M. Frassino , Jorge V. Rocha