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We consider an electric charge uniformly accelerating along $x$ direction and moving with constant velocity along $y$ direction. We show that in the co-accelerating along $x$ direction Rinder's frame this charge creates non-zero Poynting…

Classical Physics · Physics 2025-03-05 E. T. Akhmedov , M. N. Milovanova

The core of this work is an old and broadly discussed problem of the electromagnetic radiation in the case of the hyperbolic motion. We prove that the radiation is non-zero in the lab (Minkowski) frame. Further, we attempt to understand…

General Physics · Physics 2025-02-28 D. Kalinov

Quantum entanglement of the Minkowski vacuum state between left and right Rindler wedges generates thermal behavior in the right Rindler wedge, which is known as the Unruh effect. In this letter, we show that there is another consequence of…

High Energy Physics - Theory · Physics 2017-08-09 Satoshi Iso , Rumi Tatsukawa , Kazushige Ueda , Kazuhiro Yamamoto

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 the emission of pairs of photons by charges with generic worldlines in the Minkowski vacuum from the viewpoint of inertial observers and interpret them from the perspective of Rindler observers. We show that the emission of pairs…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Juan V. O. Pêgas , Robert Bingham , Gianluca Gregori , George E. A. Matsas

The determination of the electromagnetic field generated by a charge in hyperbolic motion is a classical problem for which the majority view is that the Li\'enard-Wiechert solution which implies that the charge radiates) is the correct one.…

General Physics · Physics 2017-02-08 Waldyr A. Rodrigues , Jayme Vaz

The energy-momentum tensor of the Li\'enard-Wiechert field is split into bound and emitted parts in the Rindler frame, by generalizing the reasoning of Teitelboim applied in the inertial frame. Our analysis proceeds by invoking the concept…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Hirayama

We show that in the case of a uniformly accelerated charge, in its instantaneous rest frame, there is only a radial electric field as the acceleration fields strangely get cancelled at all distances by a transverse term of the velocity…

General Physics · Physics 2019-04-02 Ashok K. Singal

We estimate the transition rates of a uniformly accelerated Unruh-DeWitt detector coupled to a quantum field with reflecting conditions on a boundary plane (a "mirror"). We find that these are essentially indistinguishable from the usual…

General Relativity and Quantum Cosmology · Physics 2012-08-27 Carlo Rovelli , Matteo Smerlak

We study successive Rindler-like transformations in Minkowski spacetime and the corresponding sequence of vacuum states perceived by observers restricted to respective wedges. Extending the standard Rindler construction to an $n$-fold…

General Relativity and Quantum Cosmology · Physics 2025-10-24 Nitesh K. Dubey , Jaswanth Uppalapati , Sanved Kolekar

The Minkowski vacuum state is expressed as an entangled state between the left and right Rindler wedges when it is constructed on the Rindler vacuum. In this paper, we further examine the entanglement structure and extend the expression to…

High Energy Physics - Theory · Physics 2017-11-08 Atsushi Higuchi , Satoshi Iso , Kazushige Ueda , Kazuhiro Yamamoto

We discuss the emission of radiation from general sources in quantum scalar, electromagnetic and gravitational fields using the Rindler coordinate frame, which is suitable for a uniformly accelerated observer, in the Minkowski vacuum. In…

Gravitational perturbations of flat Minkowski space make the Rindler horizon dynamical: the horizon satisfies mechanical laws analogous to the ones followed by black holes. We describe the gravitational perturbation of Minkowski space using…

General Relativity and Quantum Cosmology · Physics 2014-02-19 Eugenio Bianchi , Alejandro Satz

We consider the quantum radiation from a partially reflecting moving mirror for the massless scalar field in 1+1 Minkowski space. Partial reflectivity is achieved by localizing a delta-type potential at the mirror's position. The radiated…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Nistor Nicolaevici

We investigate quantum field theory in Rindler space with a UV cutoff by considering a free scalar field on a lattice in Rindler coordinates. We find that the Minkowski vacuum is not exactly thermal with respect to the local lattice Rindler…

High Energy Physics - Theory · Physics 2026-04-10 Seiken Chikazawa , Seiji Terashima

An exact solution of the Maxwell equations in Rindler coordinates is obtained. The electromagnetic field represents a wave preserving its shape in a relativistic uniformly accelerated frame. The relation with Airy beams is shown explicitly…

Classical Physics · Physics 2015-05-28 Shahen Hacyan

In a seminal paper, Unruh and Wald found that the detection of a right Rindler particle by a linearly uniformly accelerated detector coupled to a Klein-Gordon field in the Minkowski vacuum leads to the creation of a Minkowski particle from…

General Relativity and Quantum Cosmology · Physics 2023-07-19 Angel Garcia-Chung , Benito A. Juárez-Aubry , Daniel Sudarsky

We consider wave packets of a massless scalar field that have well-localized Rindler energy, and examine how their energy appears to a Minkowski observer to study how the classical gravitational red-shift formula is modified quantum…

High Energy Physics - Theory · Physics 2025-09-29 Shono Shibuya , Sotaro Sugishita

We show that Minkowski single-particle states localized beyond the horizon modify the Unruh thermal distribution in an accelerated frame. This means that, contrary to classical predictions, accelerated observers can reveal particles emitted…

General Relativity and Quantum Cosmology · Physics 2023-06-06 Riccardo Falcone , Claudio Conti

We investigate the possible existence of nonradiating motions of systems of point charges, according to classical electrodynamics with retarded potentials. We prove that two point particles of arbitrary electric charges cannot move for an…

Classical Physics · Physics 2008-07-16 Massimo Marino
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