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

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The mass of a black hole can dynamically evolve due to various physical processes, such as for instance accretion, Hawking radiation, absorption of gravitational/electromagnetic waves, superradiance, etc. This evolution can have an impact…

General Relativity and Quantum Cosmology · Physics 2025-07-03 Lodovico Capuano , Luca Santoni , Enrico Barausse

We determine the metric of a Kerr black hole subject to external tidal fields using metric reconstruction techniques. Working within the Newman-Penrose formalism, we solve the Teukolsky master equation for static, quadrupolar modes…

General Relativity and Quantum Cosmology · Physics 2026-02-04 Marta Cocco , Gianluca Grignani , Troels Harmark , Marta Orselli , David Pereñiguez , Maarten van de Meent

We compute the tidal Love numbers for a particular axially symmetric configuration of extremal Reissner-Nordstrom geometry. By exactly solving the non-linear Einstein equations, we investigate the tidal response of extremal…

General Relativity and Quantum Cosmology · Physics 2025-12-03 L. R. Gounis , A. Kehagias , G. Panagopoulos , A. Riotto

The response of black holes to companions is of fundamental importance in the context of their dynamics and of gravitational-wave emission. Here, we explore the effect of charge on the static response of black holes. With a view to…

General Relativity and Quantum Cosmology · Physics 2022-03-01 David Pereñiguez , Vitor Cardoso

It is well known that asymptotically flat Schwarzschild black holes in general relativity in four spacetime dimensions have vanishing induced linear tidal response. We extend this result beyond linear order for the polar sector, by solving…

General Relativity and Quantum Cosmology · Physics 2024-05-29 Massimiliano Maria Riva , Luca Santoni , Nikola Savić , Filippo Vernizzi

The tidal Love numbers parametrize the conservative induced tidal response of self-gravitating objects. It is well established that asymptotically-flat black holes in four-dimensional general relativity have vanishing Love numbers. In…

General Relativity and Quantum Cosmology · Physics 2025-04-21 Oscar Combaluzier-Szteinsznaider , Lam Hui , Luca Santoni , Adam R. Solomon , Sam S. C. Wong

In General Relativity, the tidal Love numbers of black holes vanish, implying they are resistant to tidal deformation. This "rigidity" is easily broken in the presence of higher-derivative corrections. Focusing on extremal charged black…

High Energy Physics - Theory · Physics 2026-01-30 Toshifumi Noumi , Sam S. C. Wong

Using a semi-analytical approach recently developed to model the tidal deformations of neutron stars in inspiralling compact binaries, we study the dynamical evolution of the tidal tensor, which we explicitly derive at second post-Newtonian…

General Relativity and Quantum Cosmology · Physics 2013-05-30 A. Maselli , L. Gualtieri , F. Pannarale , V. Ferrari

Topological stars, or top stars for brevity, are smooth horizonless static solutions of Einstein-Maxwell theory in 5-d that reduce to spherically symmetric solutions of Einstein-Maxwell-Dilaton theory in 4-d. We study linear scalar…

General Relativity and Quantum Cosmology · Physics 2023-09-04 Massimo Bianchi , Giorgio Di Russo , Alfredo Grillo , Jose Francisco Morales , Giuseppe Sudano

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

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

The response of a black hole (BH) to tidal forces encodes key information about the underlying gravitational theory and affects the waveform of gravitational waves emitted during binary inspiral processes. In this paper, we analyze the…

General Relativity and Quantum Cosmology · Physics 2026-04-08 Hajime Kobayashi , Shinji Mukohyama , Naritaka Oshita , Kazufumi Takahashi , Vicharit Yingcharoenrat

To perform realistic tests of theories of gravity, we need to be able to look beyond general relativity and evaluate the consistency of alternative theories with observational data from, especially, gravitational wave detections using, for…

General Relativity and Quantum Cosmology · Physics 2022-05-04 M. Cvetic , G. W. Gibbons , C. N. Pope , B. F. Whiting

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

Dynamic Kerr effect measurements provide a simple realization of a nonlinear experiment. We propose a field-off experiment where an electric field of one or several sinusoidal cycles is applied to a sample in thermal equilibrium.…

Soft Condensed Matter · Physics 2009-11-11 U. Haeberle , G. Diezemann

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

We analytically study the linear response of a near-extremal Kerr black hole to external scalar, electromagnetic, and gravitational field perturbations. We show that the energy density, electromagnetic field strength, and tidal force…

General Relativity and Quantum Cosmology · Physics 2016-10-19 Samuel E. Gralla , Aaron Zimmerman , Peter Zimmerman

In this paper, we first investigate some aspects of frame dragging in strong gravity. The computations are carried out for the Kerr black hole and for the rotating Janis-Newman-Winicour solution, that is known to have a naked singularity on…

General Relativity and Quantum Cosmology · Physics 2018-07-18 Tathagata Karmakar , Tapobrata Sarkar

The recent detection of gravitational waves from a neutron star merger was a significant step towards constraining the nuclear matter equation of state by using the tidal Love numbers (TLNs) of the merging neutron stars. Measuring or…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Stoytcho S. Yazadjiev , Daniela D. Doneva , Kostas D. Kokkotas

As a first step in the computation of the orbital phase evolution of spinless compact binaries including tidal effects up to the next-to-next-to-leading (NNL) order, we obtain the equations of motion of those systems and the associated…

General Relativity and Quantum Cosmology · Physics 2020-11-02 Quentin Henry , Guillaume Faye , Luc Blanchet
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