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In this thesis, we use numerical relativity to investigate gravitational waves from binary black holes in extensions of GR. We first study spherically symmetric gravitational collapse in cubic Horndeski theories of gravity. By varying the…

General Relativity and Quantum Cosmology · Physics 2023-08-24 Tiago França

We present, in closed analytic form, a general stationary, slowly rotating black hole, which is solution to a large class of alternative theories of gravity in four dimensions. In these theories, the Einstein-Hilbert action is supplemented…

General Relativity and Quantum Cosmology · Physics 2011-10-27 Paolo Pani , Caio F. B. Macedo , Luis C. B. Crispino , Vitor Cardoso

We develop a numerical code to compute gravitational waves induced by a particle moving on eccentric inclined orbits around a Kerr black hole. For such systems, the black hole perturbation method is applicable. The gravitational waves can…

General Relativity and Quantum Cosmology · Physics 2009-08-05 Ryuichi Fujita , Wataru Hikida , Hideyuki Tagoshi

We use the open source, community-driven, numerical relativity software, the Einstein Toolkit to study the physics of eccentric, spinning, nonprecessing binary black hole mergers with mass-ratios $q=\{2, 4, 6\}$, individual dimensionless…

General Relativity and Quantum Cosmology · Physics 2023-03-22 Abhishek V. Joshi , Shawn G. Rosofsky , Roland Haas , E. A. Huerta

We compute static ($\omega\to0$) tilde Love numbers for scalar ($s=0$) and Dirac ($s=1/2$) perturbations of static acoustic black holes (ABHs) in (3+1) and (2+1) dimensions respectively. By imposing horizon regularity condition and matching…

High Energy Physics - Theory · Physics 2026-05-04 Yongbin Du , Xiangdong Zhang

We compute the radiation emitted by a particle on the innermost stable circular orbit of a rapidly spinning black hole both (a) analytically, working to leading order in the deviation from extremality and (b) numerically, with a new…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Samuel E. Gralla , Achilleas P. Porfyriadis , Niels Warburton

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

Gravitational-wave measurements of the tidal deformability of neutron stars could reveal important information regarding their internal structure, the equation of state of high-dense nuclear matter and gravity in strong field regime. In…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Liang Meng , Dao-Jun Liu

We use the Kerr-Schild type Teukolsky equation (horizon penetrating) to evolve binary black hole initial data as proposed by Bishop {\em et al.} in the close limit. Our results are in agreement with those recently obtained by Sarbach {\em…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Gaurav Khanna

In a recent paper, we have studied the Teukolsky equations for fermions with mass $m_e\neq 0$ and rotating black hole of mass $M$. There, we have studied two cases: $\tilde{m}_e=m_e\,M^{-1}\ll 1$ and $a\omega\ll 1$; $\tilde{m}_e\ll 1$ and…

General Relativity and Quantum Cosmology · Physics 2023-10-27 Mattia Villani

We consider general relativistic Cauchy data representing two nonspinning, equal-mass black holes boosted toward each other. When the black holes are close enough to each other and their momentum is sufficiently high, an encompassing…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Andrew M. Abrahams , Gregory B. Cook

Perturbation theory of rotating black holes is usually described in terms of Weyl scalars $\psi_4$ and $\psi_0$, which each satisfy Teukolsky's complex master wave equation and respectively represent outgoing and ingoing radiation. On the…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Carlos O. Lousto , Bernard F. Whiting

The tidal response of compact objects provides a powerful probe of their internal structure and of the surrounding gravitational field. We provide a comprehensive and unified overview of tidal effects in black holes, neutron stars, and…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Sumanta Chakraborty , Paolo Pani

We provide a symmetry argument for the vanishing and non-renormalization of static Love numbers for spherically symmetric black holes at full nonlinear order in four-dimensional General Relativity. The symmetry is realized both in full GR…

High Energy Physics - Theory · Physics 2025-11-20 Julio Parra-Martinez , Alessandro Podo

The tidal deformability of a self-gravitating object leaves an imprint on the gravitational-wave signal of an inspiral which is paramount to measure the internal structure of the binary components. We unveil here a surprisingly unnoticed…

General Relativity and Quantum Cosmology · Physics 2019-07-30 Paolo Pani , Andrea Maselli

The Teukolsky Master Equation describes the dynamics of massless fields with spin on a Kerr black hole. Under separation of variables, spin-reversal for this equation is accomplished through the so-called Teukolsky--Starobinsky identities.…

General Relativity and Quantum Cosmology · Physics 2021-08-20 Rita Teixeira da Costa , Marc Casals

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

Amazingly, recent studies indicate that nonlinear effects are of great significance for modelling black hole ringdown. Transient electromagnetic events in the astrophysical environment are typically high energetic, potentially responsible…

General Relativity and Quantum Cosmology · Physics 2025-11-07 Zhen-Tao He , Jia Du , Jiageng Jiao , Caiying Shao , Junxi Shi , Yu Tian , Hongbao Zhang

In this paper, we present a detailed analysis of first-order perturbations of the Kerr metric in the slow-rotation limit. We perform the calculation by perturbing the Schwarzschild metric plus up to second-order corrections in the spin in…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Nicola Franchini

Quasinormal modes of rapidly rotating black holes were recently computed in a generic effective-field-theory extension of general relativity with higher-derivative corrections. We exploit this breakthrough to perform the most complete…

General Relativity and Quantum Cosmology · Physics 2024-11-28 Simon Maenaut , Gregorio Carullo , Pablo A. Cano , Anna Liu , Vitor Cardoso , Thomas Hertog , Tjonnie G. F. Li