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We present a GPU-accelerated numerical integrator specifically optimized for stability calculations of small bodies in planetary systems. Specifically, the integrator is designed for cases when large numbers of test particles (tens or…

地球与行星天体物理 · 物理学 2020-11-09 Kevin Zhang , Brett J. Gladman

A small deformation controlled by four free parameters to the Schwarzschild metric could be referred to a nonspinning black hole solution in alternative theories of gravity. Because such a non-Schwarzschild metric can be changed into a…

广义相对论与量子宇宙学 · 物理学 2021-12-14 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

In this article we study the geodesic motion of test particles and light in the five-dimensional (rotating) black string spacetime. If a compact dimension is added to the four-dimensional Schwarzschild or Kerr spacetime, the new…

广义相对论与量子宇宙学 · 物理学 2013-11-20 Saskia Grunau , Bhavesh Khamesra

The radiation observed in quasars and active galactic nuclei is mainly produced by a relativistic plasma orbiting close to the black hole event horizon, where strong gravitational effects are relevant. The observational data of such systems…

广义相对论与量子宇宙学 · 物理学 2022-02-02 Velásquez-Cadavid J. M. , Arrieta-Villamizar J. A. , F. D. Lora-Clavijo , O. M. Pimentel , Osorio-Vargas J. E

Unlike in the Schwarzschild black hole background, gravitational perturbations in a Kerr black hole background can not be decomposed into simple tensor harmonics in the time domain. Here, we make mode decompositions only in the azimuthal…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Carlos O. Lousto , Hiroyuki Nakano

Creating software dedicated to simulation is essential for teaching and research in Science, Technology, Engineering, and Mathematics (STEM). Physics lecturing can be more effective when digital twins are used to accompany theory classes.…

物理教育 · 物理学 2025-11-26 Milagros Delgado , Wladimir E. Banda-Barragán

We obtain a new class of stationary axisymmetric spacetimes by using the G\"urses-G\"ursey metric with an appropriate mass function in order to generate a rotating core of matter that may be smoothly matched to the exterior Kerr metric. The…

广义相对论与量子宇宙学 · 物理学 2023-11-10 Angel D. Masa , Vilson T. Zanchin

Implicit Neural Representations (INRs) are widely used for modeling continuous 2D images, enabling high-fidelity reconstruction, super-resolution, and compression. Architectures such as SIREN, WIRE, and FINER demonstrate their ability to…

计算机视觉与模式识别 · 计算机科学 2026-03-26 Weronika Jakubowska , Mikołaj Zieliński , Rafał Tobiasz , Krzysztof Byrski , Maciej Zięba , Dominik Belter , Przemysław Spurek

Although General Relativity (GR) has been tested extensively in the weak gravity regime, similar tests in the strong gravity regime are still missing. In this paper we explore the possibility to use X-ray spectropolarimetric observations of…

广义相对论与量子宇宙学 · 物理学 2015-06-05 Henric Krawczynski

The coalescences of stellar-mass black-hole binaries through their inspiral, merger, and ringdown are among the most promising sources for ground-based gravitational-wave (GW) detectors. If a GW signal is observed with sufficient…

Given a smooth globally hyperbolic $(3+1)$-dimensional spacetime $(M,g)$ satisfying the Einstein vacuum equations (possibly with cosmological constant) and an inextendible timelike geodesic $\mathcal{C}$, we constructed in Part I a family…

广义相对论与量子宇宙学 · 物理学 2024-08-14 Peter Hintz

We extend the work of Oppenheimer & Synder to model the gravitational collapse of a star to a black hole by including quantum mechanical effects. We first derive closed-form solutions for classical paths followed by a particle on the…

广义相对论与量子宇宙学 · 物理学 2016-11-14 Jayashree Balakrishna , Ruxandra Bondarescu , Christine Corbett Moran

Implicit Neural Representations (INR) have been successfully employed for Arbitrary-scale Super-Resolution (ASR). However, INR-based models need to query the multi-layer perceptron module numerous times and render a pixel in each query,…

图像与视频处理 · 电气工程与系统科学 2025-07-31 Du Chen , Liyi Chen , Zhengqiang Zhang , Lei Zhang

Despite a large corpus of recent work on scaling up Gaussian processes, a stubborn trade-off between computational speed, prediction and uncertainty quantification accuracy, and customizability persists. This is because the vast majority of…

机器学习 · 计算机科学 2025-12-09 Marcus M. Noack , Mark D. Risser , Hengrui Luo , Vardaan Tekriwal , Ronald J. Pandolfi

Discontinuous Galerkin (DG) methods for solving elliptic equations are gaining popularity in the computational physics community for their high-order spectral convergence and their potential for parallelization on computing clusters.…

广义相对论与量子宇宙学 · 物理学 2024-10-25 Nils L. Vu

A leading approach to the modelling of extreme mass ratio inspirals involves the treatment of the smaller mass as a point particle and the computation of a regularized self-force acting on that particle. In turn, this computation requires…

广义相对论与量子宇宙学 · 物理学 2012-09-28 Barry Wardell , Ian Vega , Jonathan Thornburg , Peter Diener

We study the geodesic equation in the space-time of a Kerr black hole pierced by an infinitely thin cosmic string and give the complete set of analytical solutions of this equation for massive and massless particles in terms of Mino time…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Eva Hackmann , Betti Hartmann , Claus Laemmerzahl , Parinya Sirimachan

We apply our model of quantum gravity to a Kerr-AdS spacetime of dimension $2 m+1$, $m\ge2$, where all rotational parameters are equal, resulting in a wave equation in a quantum spacetime which has a sequence of solutions that can be…

广义相对论与量子宇宙学 · 物理学 2018-02-06 Claus Gerhardt

We formulate conditions on the geometry of a non-expanding horizon $\Delta$ which are sufficient for the space-time metric to coincide on $\Delta$ with the Kerr metric. We introduce an invariant which can be used as a measure of how…

广义相对论与量子宇宙学 · 物理学 2009-11-07 Jerzy Lewandowski , Tomasz Pawlowski

Geometric optimization problems are at the core of many applications in geometry processing. The choice of a representation fitting an optimization problem can considerably simplify solving the problem. We consider the Nonlinear…

数值分析 · 数学 2020-04-29 Josua Sassen , Behrend Heeren , Klaus Hildebrandt , Martin Rumpf