Abstract
We use conservation of energy and momentum to show the metric of a gravitational or electromagnetic plane wave pulse is flat.
Highlights
A class of Lorentz covariant theories of gravitation that includes general relativity was shown not to satisfy conservation of energy (De Paepe, 2012)
We will require energy and momentum are conserved. This restriction will limit the form of the metric of the pulse
Let be the Lorentz transformation that is a composition of a rotation by about the axis, a boost by in the direction of the rotated axis, followed by a rotation by about the axis
Summary
A class of Lorentz covariant theories of gravitation that includes general relativity was shown not to satisfy conservation of energy (De Paepe, 2012). There we considered a photon moving along a fixed line towards a particle on the line. In the present article we will consider a gravitational or electromagnetic plane wave pulse incident on an atom that emits a photon. There will be an exchange of energy and momentum between the pulse and the photon. We will require energy and momentum are conserved. This restriction will limit the form of the metric of the pulse. . For there is no additional restriction on the metric other than it must be the metric of a gravitational or electromagnetic plane wave pulse
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