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We revisit the computation of quasinormal modes (QNMs) of the Kerr black hole using a numerical approach exploiting a representation of the Teukolsky equation as a $2D$ elliptic partial differential equation. By combining the hyperboloidal…

General Relativity and Quantum Cosmology · Physics 2025-06-06 Jamil Assaad , Rodrigo Panosso Macedo

A large class of two dimensional quantum gravity theories of Jackiw-Teitelboim form have a description in terms of random matrix models. Such models, treated fully non-perturbatively, can give an explicit and tractable description of the…

High Energy Physics - Theory · Physics 2021-11-10 Clifford V. Johnson

In this article, we describe and numerically implement a method for relativistic location in slightly curved but otherwise generic spacetimes. For terrestrial positioning in the context of Global Navigation Satellite Systems, our algorithm…

General Relativity and Quantum Cosmology · Physics 2022-08-18 Justin C. Feng , Filip Hejda , Sante Carloni

Modified dispersion relations (MDRs) arise in many quantum-gravity approaches, often in non-polynomial or non-analytic form beyond the reach of effective field theory (EFT). Logarithmic, exponential and trigonometric MDRs appear in causal…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Gines R. Perez Teruel

The ringdown of perturbed black holes has been studied since the 1970s, but until recently, studies have focused on linear perturbations. There is now burgeoning interest in nonlinear perturbative effects during ringdown. Here, using a…

General Relativity and Quantum Cosmology · Physics 2025-03-11 Patrick Bourg , Rodrigo Panosso Macedo , Andrew Spiers , Benjamin Leather , Bonga Béatrice , Adam Pound

From black hole perturbation theory, quasi-normal modes (QNMs) in spherically symmetric AdS black hole spacetimes are usually studied with the Horowitz and Hubeny methods [1] by imposing the Dirichlet or vanishing energy flux boundary…

General Relativity and Quantum Cosmology · Physics 2020-09-22 Chun-Hung Chen , Hing-Tong Cho , Alan S. Cornell

The recent first detection of gravitational waves (GWs) from binary black hole mergers has spurred a renewed interest in possible deviations from General Relativity (GR), since they could be detected in the GWs emitted by such systems. Of…

General Relativity and Quantum Cosmology · Physics 2022-11-03 Hugo Roussille

In comparison to the original Tolman VII model, Exact Modified Tolman VII (EMTVII) with one additional parameter can increase the compactness of compact object. When the compactness is in the ultracompact regime, the quasinormal…

General Relativity and Quantum Cosmology · Physics 2024-01-02 Byon N. Jayawiguna , Piyabut Burikham

This is the first of a series of papers dedicated to the study of the partition function of three-dimensional quantum gravity on the twisted solid torus with the aim to deepen our understanding of holographic dualities from a…

High Energy Physics - Theory · Physics 2018-06-22 Bianca Dittrich , Christophe Goeller , Etera Livine , Aldo Riello

We present here the general expressions for the acceleration of massive test particles along the symmetry axis of the Kerr metric, and then study the main properties of this acceleration in different regions of the spacetime. In particular,…

General Relativity and Quantum Cosmology · Physics 2016-05-09 J. Gariel , N. O. Santos , Anzhong Wang

In this work, we propose a geometric framework for analyzing mechanical manipulation, for instance, by a robotic agent. Under the assumption of conservative forces and quasi-static manipulation, we use energy methods to derive a metric. In…

Optimization and Control · Mathematics 2024-02-27 Domenico Campolo , Franco Cardin

We investigate the excitation of quasi-normal modes (QNMs) in gravitational lensing by a Schwarzschild black hole using a scalar field model. By employing a time-domain mode-sum method, we analyze the complex interplay between an incident…

General Relativity and Quantum Cosmology · Physics 2026-01-29 Chengjiang Yin , Zihao Lin , Jian-hua He

Rotating black holes are prevalent in astrophysical observations, and a Kerr-like solution that incorporates quantum gravity effects is essential for constructing realistic models. In this work, we analyze the geodesic motion of massive…

General Relativity and Quantum Cosmology · Physics 2025-10-28 Zhiyang Guo , Chen Lan , Yan Liu

We calculate the quasinormal modes (QNM) frequencies of a test massless scalar field and an electromagnetic field around static black holes in $f(T)$ gravity. Focusing on quadratic $f(T)$ modifications, which is a good approximation for…

General Relativity and Quantum Cosmology · Physics 2022-10-31 Yaqi Zhao , Xin Ren , Amara Ilyas , Emmanuel N. Saridakis , Yi-Fu Cai

We present a detailed description of techniques developed to combine 3D numerical simulations and, subsequently, a single black hole close-limit approximation. This method has made it possible to compute the first complete waveforms…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. Baker , M. Campanelli , C. Lousto

We describe a new kludge scheme to model the dynamics of generic extreme-mass-ratio inspirals (EMRIs; stellar compact objects spiraling into a spinning supermassive black hole) and their gravitational-wave emission. The Chimera scheme is a…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Carlos F. Sopuerta , Nicolas Yunes

We present a way to manipulate an electron trapped in a layered quantum dot based on near-threshold properties of one-body potentials. We show that potentials with a simple global parameter allows the manipulation of the wave function…

Mesoscale and Nanoscale Physics · Physics 2012-05-10 Alejandro Ferrón , Pablo Serra , Omar Osenda

The realization space of geometric constraint systems is given by the vanishing locus of polynomials corresponding to natural geometric constraints. Such geometric constraint systems arise in many real-world scenarios such as structural…

Metric Geometry · Mathematics 2026-04-14 Matthias Adrian-Himmelmann

We investigate the quasinormal mode (QNM) spectrum of a Kerr-like black-bounce spacetime under massive scalar-field perturbations. Starting from the Kerr-like deformation of the Simpson--Visser black-bounce geometry, we derive the…

General Relativity and Quantum Cosmology · Physics 2025-12-30 Yi Yang , Dong Liu , Ali Övgün , Zheng-Wen Long , Zhaoyi Xu

In this work we explore a numerical technique, based on the spherical harmonic decomposition and the discretization of the radial coordinate through \v{C}eby\v{s}\"ev polynomial interpolation, for the computation of quasi-bound states of…

General Relativity and Quantum Cosmology · Physics 2023-09-28 Giuseppe Lingetti
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