2001/02/28 by T. Hirayama, Toru Hirayama
Physics and Astronomy · #Acceleration #Charge (physics) #Field (mathematics) #Frame (networking) #Inertial frame of reference #Observer (physics) #Orbital Angular Momentum in Optics #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #Reference frame #Tensor (intrinsic definition) #Unruh effect #gr-qc #physics.class-ph
paper · pdf · doi:10.1143/ptp.106.71
published as Prog.Theor.Phys. 106 (2001) 71 · 30 pages 2 figures
openalex publication_date 2001/07/01 · arxiv created 2001/08/28 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The energy-momentum tensor of the Liénard-Wiechert field is split into bound and emitted parts in the Rindler frame by generalizing the reasoning of Teitelboim applied in the inertial frame [see C. Teitelboim, Phys. Rev. D1 (1970), 1572]. Our analysis proceeds by invoking the concept of “energy” defined with respect to the Killing vector field attached to the frame. We obtain the radiation formula in the Rindler frame (the Rindler version of the Larmor formula), and it is found that the radiation power is proportional to the square of the acceleration αµ of the charge relative to the Rindler frame. This result leads us to split the Liénard-Wiechert field into a part , which is linear in αμ, and a part which is independent of αµ. By using these, we split the energy-momentum tensor into two parts. We find that these are properly interpreted as the emitted and bound parts of the tensor in the Rindler frame. In our identification of radiation, a charge radiates neither in the case that the charge is fixed in the Rindler frame, nor in the case that the charge satisfies the equation αμ=0. We then investigate this equation. We consider four gedanken experiments related to the observer dependence of the concept of radiation.