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We survey functional analytic methods for studying subwavelength resonator systems. In particular, rigorous discrete approximations of Helmholtz scattering problems are derived in an asymptotic subwavelength regime. This is achieved by…

偏微分方程分析 · 数学 2024-10-02 Habib Ammari , Bryn Davies , Erik Orvehed Hiltunen

Under the perturbative picture of planetary microlensing, the planet is considered to act as a uniform-shear Chang-Refsdal lens on one of the two images produced by the host star that comes close to the angular Einstein radius of the…

地球与行星天体物理 · 物理学 2023-06-09 Keming Zhang

The Einstein field equations in linear post-Newtonian approximation can be written in analogy with electromagnetism, in the so-called gravito-electromagnetic formalism. We use this analogy to study the gravitational field of a massive ring:…

广义相对论与量子宇宙学 · 物理学 2015-06-04 Matteo Luca Ruggiero

Effective field theory (EFT) provides a systematic framework to describe possible deviations from general relativity through higher-curvature corrections to the gravitational action, capturing low-energy effects of an underlying fundamental…

广义相对论与量子宇宙学 · 物理学 2026-05-05 Takamasa Kanai

Solving dynamical problems in general relativity requires the full machinery of numerical relativity. Wilson has proposed a simpler but approximate scheme for systems near equilibrium, like binary neutron stars. We test the scheme on…

广义相对论与量子宇宙学 · 物理学 2009-10-28 Gregory B. Cook , Stuart L. Shapiro , Saul A. Teukolsky

Line-of-sight effects in strong gravitational lensing have long been treated as a nuisance. However, it was recently proposed that the line-of-sight shear could be a cosmological observable in its own right, if it is not degenerate with…

宇宙学与河外天体物理 · 物理学 2023-03-02 Natalie B. Hogg , Pierre Fleury , Julien Larena , Matteo Martinelli

We present new mass models for the gravitational lens system B1938+666, using multi-wavelength data acquired from Keck adaptive optics (AO) and Hubble Space Telescope (HST) observations. These models are the first results from the…

宇宙学与河外天体物理 · 物理学 2015-06-05 D. J. Lagattuta , S. Vegetti , C. D. Fassnacht , M. W. Auger , L. V. E. Koopmans , J. P. McKean

We revisit a weak gravitational lensing problem by constructing a setup which describes the actual system as accurately as possible and solving the null geodesic equations. Details are given for the case of a Universe driven only by a…

天体物理学 · 物理学 2008-11-26 Minjoon Park

Heuristic approaches in cosmology bypass more difficult calculations that would more strictly agree with the standard Einstein equation. These give us the well-known Friedmann-Lemaitre-Robertson-Walker (FLRW) models, and, more recently, the…

宇宙学与河外天体物理 · 物理学 2015-06-12 Boudewijn F. Roukema

The Friedmann-Robertson-Walker (FRW) cosmology is analyzed with a general potential $\rm V(\phi)$ in the scalar field inflation scenario. The Bohmian approach (a WKB-like formalism) was employed in order to constraint a generic form of…

广义相对论与量子宇宙学 · 物理学 2019-05-01 Omar E. Núñez , J. Socorro , Rafael Hernández-Jiménez

We discuss gravitational lensing by elliptical galaxies with some particular mass distributions. Using simple techniques from the theory of quadrature domains and the Schwarz function (cf. \cite{Sh}) we show that when the mass density is…

数学物理 · 物理学 2007-08-21 C. D. Fassnacht , C. R. Keeton , D. Khavinson

We assess the feasibility of probing dark energy with strong gravitational lensing systems. The capability of the method, which depends on the accuracy with which the lensing systems are modeled, is quantitatively investigated using the…

天体物理学 · 物理学 2009-11-07 Kazuhiro Yamamoto , Yasufum Kadoya , Tsukasa Murata , Toshifumi Futamase

In the perturbative approach, substructures in the lens can be reduced to their effect on the two perturbative fields $f_1$ and $\frac{d f_0}{d\theta}$. A simple generic model of elliptical lens with a substructure situated near the…

天体物理学 · 物理学 2009-11-13 C. Alard

Higher derivative extensions of Einstein gravity are important within the string theory approach to gravity and as alternative and effective theories of gravity. H. L\"u, A. Perkins, C. Pope, K. Stelle [Phys.Rev.Lett. 114 (2015), 171601]…

广义相对论与量子宇宙学 · 物理学 2023-07-10 K. Kokkotas , R. A. Konoplya , A. Zhidenko

The non-detection of dark matter (DM) particles in increasingly stringent laboratory searches has encouraged alternative gravity theories where gravity is sourced only from visible matter. Here, we consider whether such theories can pass a…

星系天体物理 · 物理学 2020-08-05 Mandy C. Chen , Tom Broadhurst , Jeremy Lim , Sandor M. Molnar , Jose M. Diego , Masamune Oguri , Lilian L. Lee

We discuss gravitational lensing in the Kehagias-Sfetsos space-time emerging in the framework of Ho\v{r}ava-Lifshitz gravity. In weak lensing we show that there are three regimes, depending on the value of $\bar {\lambda}=1/\omega d^{2}$,…

广义相对论与量子宇宙学 · 物理学 2011-10-14 Zsolt Horváth , László Á. Gergely , Zoltán Keresztes , Tiberiu Harko , Francisco S. N. Lobo

This paper uses the Schwarzschild metric to derive an effective refractive index and acceleration vector that account for relativistic deflection of light rays, in an otherwise classical kinematic framework. The new refractive index and the…

星系天体物理 · 物理学 2015-05-19 S. J. Walters , L. K. Forbes , P. D. Jarvis

We consider three extensions of the Navarro, Frenk and White (NFW) profile and investigate the intrinsic degeneracies among the density profile parameters on the gravitational lensing effect of satellite galaxies on highly magnified…

宇宙学与河外天体物理 · 物理学 2015-06-19 Simona Vegetti , Mark Vogelsberger

Effective field theory methods allow us to modify general relativity through higher-curvature corrections to the Einstein-Hilbert action, while preserving Lorentz invariance and the number of gravitational degrees of freedom. We here…

广义相对论与量子宇宙学 · 物理学 2024-07-18 Haoyang Liu , Nicolás Yunes

We present an analytical framework for a family of axisymmetric gravitational lenses, in which we express the lensing properties in terms of the Fox $H$-function. We apply this framework to a generalised-NFW (gNFW) profile, where we provide…

宇宙学与河外天体物理 · 物理学 2025-06-03 Daniel Alexdy Torres-Ballesteros , Leonardo Castañeda