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The generalization of the Larmor radiation formula in gravitational fields and with accelerating observers was obtained by Hirayama and others. We verify a special case of their result by explicit computation using a family of displaced…

General Relativity and Quantum Cosmology · Physics 2022-11-08 Luther Rinehart

We develop the spacetime approach to gravitational lensing by spherically symmetric perturbations of flat, cosmological constant-dominated Friedman-Robertson-Walker metrics. The geodesics of the spacetime are expressed as integral…

General Relativity and Quantum Cosmology · Physics 2025-08-19 Thomas P. Kling , Sophia MacQueen Pooler

We develop a relativistic treatment of interference between light reflected from a falling cube retroreflector in the vertical arm of an interferometer, and light in a reference beam in the horizontal arm. Coordinates that are nearly…

Geophysics · Physics 2018-01-17 Neil Ashby

Although diffractive spreading is an unavoidable feature of all wave phenomena, certain waveforms can attain propagation-invariance. A lesser-explored strategy for achieving optical selfsimilar propagation exploits the modification of the…

Optics · Physics 2018-04-25 H. Esat Kondakci , Ayman F. Abouraddy

In flat spacetime, two inequivalent vacuum states which arise rather naturally are the Rindler vacuum (R) and the Minkowski vacuum (M). We disuss several aspects of the Rindler vacuum, concentrating on the propagator and Schwinger (heat)…

General Relativity and Quantum Cosmology · Physics 2020-07-15 Karthik Rajeev , T. Padmanabhan

We review and extend the analogies between Gaussian pulse propagation and Gaussian beam diffraction. In addition to the well-known parallels between pulse dispersion in optical fiber and CW beam diffraction in free space, we review temporal…

Optics · Physics 2009-11-07 Shayan Mookherjea , Amnon Yariv

We study light propagation and gravitational lensing in scalar-tensor theories of gravity by using a static, axisymmetric exterior solution. The solution has asymptotic flatness properties and is reduced to Voorhees's one in the case of a…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Shin-ei Tsuneishi , Kazuya Watanabe , Tooru Tsuchida

An observer at rest in a uniformly accelerated reference frame experiences a parallel gravitational field, where the rays of light are formed as circular arcs instead of being straight lines. We deduce how a sphere at rest in the Rindler…

General Relativity and Quantum Cosmology · Physics 2010-11-02 E. Eriksen , O. Gron

An accelerating Rindler frame in Minkowski spacetime acting for a finite time interval is used to carry a box of particles or waves between two relativistic inertial frames. The finite spatial extent of the box allows treatment of the…

Classical Physics · Physics 2026-01-19 Timothy H Boyer

We discuss two effects predicted by the general theory of relativity in the context of Rindler accelerated observers: the gravitational spectral shift and the time delay of light. We show that these effects also appear in a Rindler frame in…

General Relativity and Quantum Cosmology · Physics 2008-11-26 J. B. Formiga , C. Romero

We theoretically investigate the influence of gravity on laser light in a hemispherical optical cavity, operating on Earth. The propagation of light in such a cavity is modeled by a Gaussian beam, affected by the Earth's gravitational…

General Relativity and Quantum Cosmology · Physics 2021-09-08 Sebastian Ulbricht , Johannes Dickmann , Robert A. Müller , Stefanie Kroker , Andrey Surzhykov

Geometric optics effectively describes the propagation of electromagnetic waves when the wavelength is much smaller than the characteristic length scale of the medium, making wave phenomena like diffraction negligible. As a result, light…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Sebastian Murk , Daniel R. Terno , Rama Vadapalli

Lorentz transformation equations provide us a set of relations between the spacetime coordinates as observed from two different inertial frames. In case, one of the frames is moving with a uniform rectilinear acceleration we have Rindler's…

General Relativity and Quantum Cosmology · Physics 2026-01-23 Ranchhaigiri Brahma , A. K. Sen

We construct an alternative uniformly accelerated reference frame based on the 3+1 formalism in adapted coordinates. In this frame, time-dependent redshift drift exists between co-moving observers, which differs from that in Rindler…

General Relativity and Quantum Cosmology · Physics 2020-07-03 Zhe Chang , Qing-Hua Zhu

The Lorentz covariant theory of propagation of light in the (weak) gravitational fields of N-body systems consisting of arbitrarily moving point-like bodies with constant masses is constructed. The theory is based on the Lienard-Wiechert…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Sergei M. Kopeikin , Gerhard Schafer

The propagator of the discrete Schr\"odinger equation is computed and its properties are revealed through a Feynman path summation in discrete space. Initial data problems such as diffraction in discrete space and continuous time are…

Quantum Physics · Physics 2012-11-01 Emerson Sadurní

General relativity uses curved space-time to describe accelerating frames. The movement of particles in different curved space-times can be regarded as equivalent physical processes based on the covariant transformation between different…

Optics · Physics 2018-10-24 Fan Zhong , Jensen Li , Hui Liu , Shining Zhu

We develop a geometrical framework that allows to obtain the electromagnetic field quantities in accelerated frames. The frame of arbitrary accelerated observers in space-time is defined by a suitable set of tetrad fields, whose timelike…

General Relativity and Quantum Cosmology · Physics 2011-10-27 J. W. Maluf , F. F. Faria

We investigate the propagation of light through a plasma on a background Kerr spacetime via a Hamiltonian formulation. The behaviour of light when propagating through a vacuum and through a plasma is not the same; the convolution of…

High Energy Astrophysical Phenomena · Physics 2019-02-06 Tom Kimpson , Kinwah Wu , Silvia Zane

In the scalar light model given by Helmholtz' equation in R^{1+d} , we consider the transformation of an initial scene (a hologram) in {0}xR^d by an arbitrary affine transformation (which can be viewed as a propagation into a tilted…

Signal Processing · Electrical Eng. & Systems 2025-06-11 Patrick Gioia , San Vu Ngoc