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The long-range gravitational terms associated with tidal forces, frame-dragging effects, and gravitational waves are described by the Weyl conformal tensor, the traceless part of the Riemann curvature that is not locally affected by the…

General Relativity and Quantum Cosmology · Physics 2022-06-29 A. Danehkar

We investigate the gravitational wave polarization modes and stability in Weyl geometry gravity within a Minkowski background. Our results indicate that the tensor sector consists of two standard modes propagating at the speed of light.…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Yu-Zhi Fan , Xiao-Bin Lai , Yu-Qi Dong , Yu-Xiao Liu

We investigate complex quaternion-valued exterior differential forms over 4-dimensional Lorentzian spacetimes and explore Weyl spinor fields as minimal left ideals within the complex quaternion algebra. The variational derivation of the…

General Relativity and Quantum Cosmology · Physics 2023-11-03 Tekin Dereli , Yorgo Senikoglu

Gravitational waves emitted by black hole binary inspiral and mergers enable unprecedented strong-field tests of gravity, requiring accurate theoretical modelling of the expected signals in extensions of General Relativity. In this paper we…

General Relativity and Quantum Cosmology · Physics 2022-02-02 Banafsheh Shiralilou , Tanja Hinderer , Samaya Nissanke , Néstor Ortiz , Helvi Witek

We study the class of vacuum (Ricci flat) six-dimensional spacetimes admitting a non-degenerate multiple Weyl aligned null direction l, thus being of Weyl type II or more special. Subject to an additional assumption on the asymptotic…

General Relativity and Quantum Cosmology · Physics 2017-06-26 Marcello Ortaggio

Ehlers, Pirani, and Schild argued that measurements of null and timelike geodesics yield Weyl and projective connections, respectively, with compatibility in the lightlike limit giving an integrable Weyl connection. Their conclusions hold…

General Relativity and Quantum Cosmology · Physics 2025-02-14 James T. Wheeler

Numerical results from a study of boson stars under nonspherical perturbations using a fully general relativistic 3D code are presented together with the analysis of emitted gravitational radiation. We have constructed a simulation code…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Jayashree Balakrishna , Ruxandra Bondarescu , Gregory Daues , F. Siddhartha Guzman , Edward Seidel

We address the hyperboloidal initial value problem in the context of Numerical Relativity, motivated by its evolution on hyperboloidal slices: smooth spacelike slices that reach future null infinity, the "location" in spacetime where…

General Relativity and Quantum Cosmology · Physics 2016-01-19 Alex Vañó-Viñuales , Sascha Husa

We obtain expressions for the shear and the vorticity tensors of perfect-fluid spacetimes, in terms of the divergence of the Weyl tensor. For such spacetimes, we prove that if the gradient of the energy density is parallel to the velocity,…

General Relativity and Quantum Cosmology · Physics 2017-11-21 Carlo Alberto Mantica , Luca Guido Molinari

The ternary van der Waals material NbIrTe$_4$ is a Type-II Weyl semimetal. We use a tunable circularly polarized mid-infrared laser to investigate the existence of band-to-band excitations using transient reflectivity in an exfoliated…

Materials Science · Physics 2022-01-03 Seyyedesadaf Pournia , Giriraj Jnawali , Samuel Linser , Howard E. Jackson , Leigh M. Smith

We present a semiclassical expansion of the smooth part of the density of states in potentials with some form of symmetry. The density of states of each irreducible representation is separately evaluated using the Wigner transforms of the…

chao-dyn · Physics 2016-08-31 B. Lauritzen , N. D. Whelan

The excitation of a black hole by infalling matter or radiation has been studied for a long time, mostly in linear perturbation theory. In this paper we study numerically the response of a Schwarzschild black hole to an incoming…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Jörg Frauendiener , Chris Stevens

An extension to higher dimensions of the Bel-Debever characterization of the Weyl tensor is considered. This provides algebraic conditions that uniquely determine the multiplicity of a Weyl aligned null direction (WAND), and thus the…

General Relativity and Quantum Cosmology · Physics 2009-10-02 Marcello Ortaggio

An exact charged solution with axial symmetry is obtained in the teleparallel equivalent of general relativity (TEGR). The associated metric has the structure function $G(\xi)=1-{\xi}^2-2mA{\xi}^3-q^2A^2{\xi}^4$. The fourth order nature of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gamal Gergess Lamee Nashed

The structure of polyhomogeneous space-times (i.e., space-times with metrics which admit an expansion in terms of $r^{-j}\log^i r$) constructed by a Bondi--Sachs type method is analysed. The occurrence of some log terms in an asymptotic…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Piotr T. Chrusciel , Malcolm A. H. MacCallum , David B. Singleton

Perturbative calculations of gravitational radiation near the horizons of rotating black holes in the frequency domain have been plagued by divergence issues. We resolve this longstanding obstacle by constructing a nonsingular source term…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Rico K. L. Lo , Yucheng Yin

Activities in data analysis and numerical simulation of gravitational waves have to date largely proceeded independently. In this work we study how waveforms obtained from numerical simulations could be effectively used within the data…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Thomas Baumgarte , Patrick Brady , Jolien D E Creighton , Luis Lehner , Frans Pretorius , Ricky DeVoe

Quasi-periodic oscillations of high density thick accretion disks orbiting a Schwarzschild black hole have been recently addressed as interesting sources of gravitational waves. The aim of this paper is to compare the gravitational…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Alessandro Nagar , Jose A. Font , Olindo Zanotti , Roberto De Pietri

In this paper, the real scalar field equation in Schwarzschild-de Sitter spacetime is solved numerically with high precision. A method called polynomial approximation is introduced to derive the relation between the tortoise coordinate x…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Jianxiang Tian , Yuanxing Gui , Guanghai Guo , Yan Lv , Suhong Zhang , Wei Wang

Accurate modeling of gravitational waves from binary black hole mergers is essential for extracting their rich physics. A key detail for understanding the physics of mergers is predicting the precise time when the amplitude of the…

General Relativity and Quantum Cosmology · Physics 2025-12-17 Anuj Kankani , Sean T. McWilliams
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