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The sonic point/photon surface correspondence is thoroughly investigated in a general setting. First, we investigate a sonic point of a transonic steady perfect fluid flow in a general stationary spacetime, particularly focusing on the…

广义相对论与量子宇宙学 · 物理学 2020-09-09 Masataka Tsuchiya , Chul-Moon Yoo , Yasutaka Koga , Tomohiro Harada

In an accretion of fluid, its velocity may transit from subsonic to supersonic. The point at which such transition occurs is called sonic point and often mathematically special. We consider a steady-state and spherically symmetric accretion…

广义相对论与量子宇宙学 · 物理学 2016-09-07 Yasutaka Koga , Tomohiro Harada

We investigate photon surfaces and their stability in a less symmetric spacetime, a general static warped product with a warping function acting on a Riemannian submanifold of codimension two. We find a one-dimensional pseudopotential that…

广义相对论与量子宇宙学 · 物理学 2021-02-10 Yasutaka Koga , Takahisa Igata , Keisuke Nakashi

The photon sphere concept in Schwarzschild space-time is generalized to a definition of a photon surface in an arbitrary space-time. A photon sphere is then defined as an SO(3)xR-invariant photon surface in a static spherically symmetric…

广义相对论与量子宇宙学 · 物理学 2010-02-22 Clarissa-Marie Claudel , K. S. Virbhadra , G. F. R. Ellis

Photon surfaces are timelike, totally umbilic hypersurfaces of Lorentzian spacetimes. In the first part of this paper, we locally characterize all possible photon surfaces in a class of static, spherically symmetric spacetimes that includes…

微分几何 · 数学 2021-04-01 Carla Cederbaum , Gregory J. Galloway

This paper defines the photon surface conditions using Cartan scalars within an invariant spin frame, offering a comprehensive description of the local spacetime geometry. By employing this approach, we gain novel insights into the geometry…

广义相对论与量子宇宙学 · 物理学 2024-01-23 Dipanjan Dey , Alan A. Coley , Nicholas T. Layden

In this note we identify photon surfaces and anti-photon surfaces in some physically interesting spacetimes, which are not spherically symmetric. All of our examples solve physically reasonable field equations, including for some cases the…

广义相对论与量子宇宙学 · 物理学 2016-10-26 G. W. Gibbons , C. M. Warnick

The photon surface is defined as a timelike surface $S$ such that any photon emitted in arbitrary tangential direction to $S$ from an arbitrary point on $S$ continues to propagate on $S$. In this paper, we examine whether a static photon…

广义相对论与量子宇宙学 · 物理学 2023-09-26 Hirotaka Yoshino

We introduce an analogue model for a nonglobally hyperbolic spacetime in terms of a two-dimensional fluid. This is done by considering the propagation of sound waves in a radial flow with constant velocity. We show that the equation of…

广义相对论与量子宇宙学 · 物理学 2016-12-06 Ricardo A. Mosna , J. P. M. Pitelli , Maurício Richartz

A photon surface $S$ is defined as a three-dimensional timelike hypersurface such that any null geodesic initially tangent to $S$ continues to be included in $S$, like $r=3M$ of the Schwarzschild spacetime. Using analytic solutions to…

广义相对论与量子宇宙学 · 物理学 2017-03-08 Hirotaka Yoshino

Based on the geometry of the codimension-2 surface in a general spherically symmetric spacetime, we give a quasi-local definition of a photon sphere as well as a photon surface. This new definition is the generalization of the one by…

广义相对论与量子宇宙学 · 物理学 2021-09-23 Li-Ming Cao , Yong Song

Surface plasmon polaritons (SPPs) are surface-bound waves at metal-dielectric interfaces that exhibit strong out-of-plane field confinement, a key feature for applications is nano-scale sensing and imaging. However, this advantage is offset…

Photon region (PR) in the strong gravitational field is defined as a compact region where photons can travel endlessly without going to infinity or disappearing at the event horizon. In Schwarzschild metric PR degenerates to the…

广义相对论与量子宇宙学 · 物理学 2020-06-15 K. V. Kobialko , D. V. Gal'tsov

In this paper we investigate the flow of surfaces by a class of symmetric functions of the principal curvatures with a mixed volume constraint. We consider compact surfaces without boundary that can be written as a graph over a sphere. The…

偏微分方程分析 · 数学 2016-01-20 David Hartley

We demonstrate that the location of a stable photon sphere (PS) in a compact object is not always an edge such as the inner boundary of a black hole shadow, whereas the location of an unstable PS is known to be the shadow edge notably in…

广义相对论与量子宇宙学 · 物理学 2022-06-08 Ryuya Kudo , Hideki Asada

The canonical problem of the propagation of surface-plasmon-polariton (SPP) waves localized to the planar interface of a metal and a sculptured nematic thin film (SNTF) that is periodically nonhomogeneous along the direction normal to the…

光学 · 物理学 2010-07-13 Muhammad Faryad , John A. Polo , Akhlesh Lakhtakia

We study timelike, totally umbilic hypersurfaces -- called photon surfaces -- in $n+1$-dimensional static, asymptotically flat spacetimes, for $n+1\geq4$. First, we give a complete characterization of photon surfaces in a class of…

广义相对论与量子宇宙学 · 物理学 2023-11-30 Carla Cederbaum , Sophia Jahns , Olivia Vičánek Martínez

Photons are elementary particles of lights, which have both spin and orbital angular momentum as internal degrees of freedom. Nature of spin is known as polarisation, which is widely used for sunglasses, liquid-crystal displays,…

光学 · 物理学 2023-04-06 Shinichi Saito

Spatial solitons can exist in various kinds of nonlinear optical resonators with and without amplification. In the past years different types of these localized structures such as vortices, bright, dark solitons and phase solitons have been…

斑图形成与孤子 · 物理学 2009-11-07 V. B. Taranenko , G. Slekys , C. O. Weiss

We study the interaction of an electromagnetic field with a non-absorbing or absorbing dispersive sphere in the framework of complex angular momentum techniques. We assume that the dielectric function of the sphere presents a Drude-like…

材料科学 · 物理学 2009-10-20 Stéphane Ancey , Yves Décanini , Antoine Folacci , Paul Gabrielli
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