Electrodynamics of Hyperbolically Accelerated Charges: III. Energy–Momentum of the Field of a Hyperbolically Moving Charge

✍ Scribed by E. Eriksen; Ø Grøn

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 223 KB
• Volume: 286
• Category: Article
• ISSN: 0003-4916
• DOI: 10.1006/aphy.2000.6096

✦ Synopsis

We give a detailed description of the energy momentum relationships of the Bondi Gold field. The Schott field is separated into a near field and a radiation field. The physical significance of a plane acting as a barrier for transport of energy in the field of a charge with permanent hyperbolic motion, but which lets energy through in the case of hyperbolic motion for a finite time interval, is discussed. We deduce general expressions for energy and momentum of the near field and radiation field of charges with arbitrary motion. The field reaction on the particle producing the field is calculated. The formulae are applied to the Schott field and the Bondi Gold field.

2000 Academic Press

In this section we shall consider a problem concerning the Schott field, i.e., the field of a charged particle with hyperbolic motion, X=(L 2 +T 2 ) 1Â2 . We have seen in Eq. (3.10) of [1] (hereafter Eq. (II: 3.10)) that the X-component of the Poynting