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Nonmagnetic and spherically symmetric dielectric material media are investigated in their generality as analogue models, in the domains of geometrical optics, for a few relevant static and spherically symmetric solutions of gravitation,…

General Relativity and Quantum Cosmology · Physics 2021-10-29 Eduardo Bittencourt , Diego Renan Da Silva , Érico Goulart , Renato Klippert

We study the optical paths of the light rays propagating inside a nonlinear moving dielectric media. For the rapidly moving dielectrics we show the existence of a distinguished surface which resembles, as far as the light propagation is…

General Relativity and Quantum Cosmology · Physics 2009-11-07 V. A. De Lorenci , R. Klippert , Yu. N. Obukhov

Propagation of light in a metamaterial medium which mimics curved spacetime and acts like a black hole is studied. We show that for a particular type of spacetimes and wave polarization, the time dilation appears as dielectric permittivity,…

Optics · Physics 2015-11-26 Isabel Fernández-Núñez , Oleg Bulashenko

We develop an analytical formalism for studying optical analogues of spherically symmetric black-hole spacetimes. We demonstrate the exact similarity between the electromagnetic wave equations in an inhomogeneous medium in flat spacetime…

General Relativity and Quantum Cosmology · Physics 2012-09-26 Suraj S. Hegde , C. V. Vishveshwara

We generalize the notion of a dielectric analog Schwarzschild black hole model to analog models of arbitrary space-times; in particular, the approach is not restricted to static space-times. This is done by establishing a correspondence…

General Relativity and Quantum Cosmology · Physics 2011-01-20 Robert T. Thompson , Jörg Frauendiener

Unique features of particle orbits produce novel signatures of gravitational observable phenomena, and are quite useful in testing compact astrophysical objects in general relativity or modified theories of gravity. Here we observe a…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Shao-Wen Wei , Yu-Peng Zhang , Yu-Xiao Liu , Robert B. Mann

We show that a flowing dielectric medium with a linear response to an external electric field can be used to generate an analog geometry that has many of the formal properties of a Schwarzschild black hole for light rays, in spite of…

General Relativity and Quantum Cosmology · Physics 2017-08-23 M. Novello , S. Perez Bergliaffa , J. Salim , V. De Lorenci , R. Klippert

Optical analogues to black holes allow the investigation of general relativity in a laboratory setting. Previous works have considered analogues to Schwarzschild black holes in an isotropic coordinate system; the major drawback is that…

General Relativity and Quantum Cosmology · Physics 2020-07-31 R. A. Tinguely , Andrew P. Turner

Spherically symmetric solutions in Brans-Dicke theory of relativity with zero coupling constant, $\omega=0$, are derived in the Schwarzschild line-element. The solutions are obtained from a cubic transition equation with one small…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Maurice H. P. M. van Putten

Alternative to the sonic black hole analogues we discuss a different scenario for modeling the Schwarzschild geometry in a laboratory - the dielectric black hole. The dielectric analogue of the horizon occurs if the velocity of the medium…

Quantum Physics · Physics 2009-11-07 Ralf Schützhold , Günter Plunien , Gerhard Soff

In this letter first we show that the equation of null geodesics in spherically symmetric spacetimes in isotropic coordinates is identical to the equation of light ray trajectories in isotropic media in flat spacetime. Based on this analogy…

General Relativity and Quantum Cosmology · Physics 2022-12-21 M. Nouri-Zonoz , A. Parvizi , H. Forghani

We present new, simple analytical formulas to accurately describe light rays in spherically symmetric static spacetimes. These formulas extend those introduced by Beloborodov and refined by Poutanen for the Schwarzschild metric. Our…

General Relativity and Quantum Cosmology · Physics 2024-06-25 Jonathan Claros , Emanuel Gallo

We study the existence of analogue nonstationary spherically symmetric black holes. The prime example is the acoustic model (cf. [V], [U]). We consider also a more general class of metrics that could be useful in other physical models of…

Mathematical Physics · Physics 2015-06-16 Gregory Eskin

Realistic modelling of radiation transfer in and from variable accretion disks around black holes requires the solution of the problem: find the constants of motion and equation of motion of a light-like geodesic connecting two arbitrary…

General Relativity and Quantum Cosmology · Physics 2009-03-01 Andrej Cadez , Uros Kostic

Motivated by investigation of black hole properties in the lab, some interesting subjects such as analogue gravity and transformation optics are generated. In this paper, we look for the analogies between the geometry of a gravitating…

General Physics · Physics 2019-02-07 S. H. Hendi , Z. S. Taghadomi , A. Ghasempour Ardakani

In this manuscript, we present an alternative method for calculating null geodesics in General Static Isotropic Metrics in General Relativity and Extended Theories of Gravity. By applying a conformal transformation, we are able to consider…

We consider a wide class of static spherically symmetric black holes of arbitrary dimension with a photon sphere (a hypersurface on which a massless particle can orbit the black hole on unstable circular null geodesics). This class includes…

General Relativity and Quantum Cosmology · Physics 2010-05-20 Yves Décanini , Antoine Folacci , Bernard Raffaelli

The optical fiber is a revolutionary technology of the past century. It enables us to manipulate single modes in nonlinear interactions with precision at the quantum level without involved setups. This setting is useful in the field of…

General Relativity and Quantum Cosmology · Physics 2025-12-18 Dimitrios Kranas , Andleeb Zahra , Friedrich König

ModMax is a nonlinear electrodynamics theory with the same symmetries as Maxwell electrodynamics. Static spherically symmetric solutions have been derived by coupling ModMax electrodynamics with the Einstein equations, which can represent a…

General Relativity and Quantum Cosmology · Physics 2024-01-22 Elda Guzman-Herrera , Nora Breton

Recently symmetries of gravity and gauge fields in the asymptotic regions of spacetime have been shown to play vital role in their low energy scattering phenomena. Further, for the black hole spacetime, near horizon symmetry has been…

General Relativity and Quantum Cosmology · Physics 2021-06-25 Mousumi Maitra , Debaprasad Maity , Bibhas Ranjan Majhi
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