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Uniformly Accelerating Charged Particles

Part of the Fundamental Theories of Physics Book Series (volume 158)

DOI: 10.1007/978-3-540-68477-0

ISBN: 978-3-540-68469-5

Publisher: Springer Berlin Heidelberg - Springer Journals

Jan 1, 2008

1 - 10 of 19 Chapters

Available

A Doubt about the Equivalence Principle

Pages: 1 –4

[In 1954, Bondi and Gold published a paper [2] in which they found the electromagnetic fields that would be generated by a charged particle that had been uniformly accelerating forever. This was a subject that had already been treated by other authors but without finding the complete solution....
Available

From Minkowski Spacetime to General Relativity

Pages: 5 –46

[The aim here is to see how one can infer something about a statically supported charge in a gravitational field from the description, entirely within the special theory of relativity, of a uniformly accelerating charge in a spacetime with no gravitational fields. This will be an opportunity to...
Available

Gravity as a Force in Special Relativity

Pages: 47 –49

[We said at the end of Chap. 1 that there had been a certain intellectual leap from the case of a charge uniformly accelerating in Minkowski spacetime to one that is statically supported in a gravitational field. So at the beginning of Chap. 2, we then sought to infer something about a statically...
Available

Applying the Strong Equivalence Principle

Pages: 51 –57

[We are perhaps better armed to consider the problem raised by Bondi and Gold in the quote on p. 3. They make the claim that it is impossible to distinguish between the action on a particle of matter of a constant acceleration or of static support in a gravitational field. This looks like the...
Available

The Debate Continues

Pages: 59 –65

[In 1960, Fulton and Rohrlich [3] produced a simpler derivation of the electromagnetic fields due to an eternally uniformly accelerating charge. These authors consider a uniformly accelerating charge in a Minkowski spacetime with no gravitational effects (not even non-tidal ones) [3]. The main...
Available

A More Detailed Radiation Calculation

Pages: 67 –70
Available

Defining the Radiation from a Uniformly Accelerating Charge

Pages: 71 –75

[The result (5.14) cited in [3] looks very like (6.8), except that the zero component of the latter contains u0 = γ(u), where u:= vQ is the instantaneous coordinate speed of the charge at the retarded event Q. We are about to find out exactly what ℛ is in the expression of (5.14). We will then...
Available

Energy Conservation for a Uniformly Accelerated Charge

Pages: 77 –82

[We have shown that energy is radiated indefinitely far from the charge and now we have the problem of showing where that energy came from. Fulton and Rohrlich examine the equation of motion for the charge because they are concerned with its kinetic energy. For this reason they discuss the...
Available

The Threat to the Equivalence Principle According to Fulton and Rohrlich

Pages: 83 –87

[To review what has been said, if we assume that the Lorentz-Dirac equation is applicable, this equation of motion for a charged particle is satisfied by hyperbolic motion and differs in no way from the equation of motion of a neutral particle, assuming of course that the operative external...
Available

Different Predictions of Special Relativity and General Relativity

Pages: 89 –92

[Given the risk of confusion here, it is perhaps useful to spell out the different predictions made by special relativistic and general relativistic theories of gravitation when we consider electromagnetic theories. We have to adjoin something to general relativity in order to see how to handle...

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