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We study massless spin-1 field propagation in a static, circularly symmetric $(2+1)$-dimensional wormhole with spatial Lorentz-violating anisotropy characterized by the throat radius $a$ and deformation parameter $\eta$. The geometry is…

General Relativity and Quantum Cosmology · Physics 2026-02-26 Omar Mustafa , Semra Gurtas Dogan , Abdulkerim Karabulut , Abdullah Guvendi

We identify scalar-wave signatures of massless fields propagating in static, spherically symmetric wormholes embedded within realistic dark matter halos. Starting from a general line element with arbitrary redshift and shape functions, we…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Abdullah Guvendi , Omar Mustafa , Semra Gurtas Dogan , Abdelghani Errehymy , Hassan Hassanabadi

We present a fully covariant and gauge-invariant formulation of electromagnetic wave propagation in static, spherically symmetric black hole spacetimes, developed entirely within Schwarzschild-like coordinates. Start ing from the…

General Relativity and Quantum Cosmology · Physics 2026-04-10 Abdullah Guvendi , Omar Mustafa Semra Gurtas Dogan , Hassan Hassanabadi

We investigate the geometric and wave optical properties of a $(2+1)$-dimensional ultra-static spacetime conformally related to the static BTZ black hole, characterized by constant negative Gaussian curvature. The associated optical metric…

General Relativity and Quantum Cosmology · Physics 2025-08-13 Semra Gurtas Dogan , Abdullah Guvendi , Omar Mustafa

The viability of traversable wormholes as exotic compact objects requires the identification of signatures that distinguish them from other compact objects. Given recent advances in observing rotating black hole signatures, identifying…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Rajesh Karmakar , Bum-Hoon Lee , Wonwoo Lee

We investigate the propagation of electromagnetic waves through a static wormhole. It is shown that the problem can be reduced to a one-dimensional Schr\"odinger-like equation with a barrier-type potential. Using numerical methods, we…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. E. Perez Bergliaffa , K. E. Hibberd

The propagation of gravitational waves can be described in terms of null geodesics by using the geometrical optics approximation. However, at large but finite frequencies the propagation is affected by the spin-orbit coupling corrections to…

General Relativity and Quantum Cosmology · Physics 2024-10-29 Marius A. Oancea , Richard Stiskalek , Miguel Zumalacárregui

In this work, we propose a model of Einstein--Gauss-Bonnet gravity coupled with two scalar fields. The two scalar fields are considered to be ``frozen'' or they become non-dynamical by employing appropriate constraints in terms of Lagrange…

General Relativity and Quantum Cosmology · Physics 2023-12-06 E. Elizalde , Shin'ichi Nojiri , S. D. Odintsov , V. K. Oikonomou

We investigate the quantum dynamics of scalar bosonic oscillator fields propagating in a (3+1)-dimensional Lorentz-violating (LV) wormhole spacetime within a modified gravity framework. The underlying geometry, characterized by a smooth…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Omar Mustafa , Abdullah Guvendi

We study the scattering of low-energy massless and massive minimally coupled scalar fields by an asymptotically flat traversable wormhole. We provide a comprehensive treatment of this problem offering analytic expressions for the…

General Relativity and Quantum Cosmology · Physics 2020-12-30 Bahareh Azad , Farhang Loran , Ali Mostafazadeh

In this paper, we consider the problem of test particles and test scalar fields propagating on the background of a class of wormhole space-times. For test particles, we solve for arbitrary causal geodesics in terms of integrals which are…

General Relativity and Quantum Cosmology · Physics 2017-05-31 Peter Taylor

In this paper, we study the scattering problem of the scalar wave in the traversable Lorentzian wormhole geometry. The potentials and Schr\"odinger-like equations are found in cases of the static uncharged and the charged wormholes. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Sung-Won Kim

We present an exact analytical investigation of null trajectories and scalar wave propagation in a $(2+1)$-dimensional spacetime containing a spiral dislocation-a topological defect characterized by torsion in the absence of curvature. For…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Semra Gurtas Dogan , Omar Mustafa , Abdullah Guvendi , Hassan Hassanabadi

Black holes in Lorentz violating gravity enjoy a double horizon structure which resembles that of the Kerr solution in General Relativity. Moreover, when a scalar field with a modified dispersion relation is coupled to these backgrounds, an…

General Relativity and Quantum Cosmology · Physics 2024-10-03 M. Herrero-Valea , E. Simon-Felix

The Helmholtz equation in one dimension, which describes the propagation of electromagnetic waves in effectively one-dimensional systems, is equivalent to the time-independent Schr\"odinger equation. The fact that the potential term…

Classical Physics · Physics 2021-09-15 Farhang Loran , Ali Mostafazadeh

We investigate the propagation of the scalar waves in the Witten space-time called "bubble of nothing" and in its remarkable sub-manifold, the Lorentzian Hawking wormhole. Due to the global hyperbolicity, the global Cauchy problem is…

Mathematical Physics · Physics 2017-04-05 Alain Bachelot

We discuss several properties of static, spherically symmetric wormholes with particular emphasis on the behavior of causal geodesics and the propagation of linear fields. We show there always exist null geodesics which are trapped in a…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Olivier Sarbach , Thomas Zannias

We study wave propagation in a draining bathtub: a fluid-mechanical black hole analogue in which perturbations are governed by a Klein-Gordon equation on an effective Lorentzian geometry. Like the Kerr spacetime, the draining bathtub…

General Relativity and Quantum Cosmology · Physics 2016-05-11 David Dempsey , Sam R Dolan

This paper examines the propagation of time-harmonic waves in a two-dimensional triangular lattice with a lattice constant $a = 1$. The sources are positioned along line segments within the lattice. Specifically, we investigate the discrete…

Analysis of PDEs · Mathematics 2024-07-04 David Kapanadze , Zurab Vashakidze

We present an unified approach for the study of idealized gravitational compact objects like wormholes and horizonless stars, here simulated by the presence of boundary conditions at a deeply inner wall. At classical level, namely…

General Relativity and Quantum Cosmology · Physics 2019-11-07 L. Sebastiani , L. Vanzo , S. Zerbini
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