The mass per unit length of a cylindrical system can be found from its external metric as can its angular

momentum. Can the fluxes of energy, momentum, and angular momentum along the cylinder also be so

found? We derive the metric of a beam of circularly polarized electromagnetic radiation from the EinsteinMaxwell equations. We show how the uniform plane wave solutions miss the angular momentum carried

by the wave. We study the energy, momentum, angular momentum, and their fluxes along the cylinder both

for this beam and in general. The three Killing vectors of any stationary cylindrical system give three

Komar flux vectors which in turn give six conserved fluxes. We elucidate Komar’s mysterious factor 2 by

evaluating Komar integrals for systems that have no trace to their stress tensors. The Tolman-Komar

formula gives twice the energy for such systems which also have twice the gravity. For other cylindrical

systems their formula gives correct results.

momentum. Can the fluxes of energy, momentum, and angular momentum along the cylinder also be so

found? We derive the metric of a beam of circularly polarized electromagnetic radiation from the EinsteinMaxwell equations. We show how the uniform plane wave solutions miss the angular momentum carried

by the wave. We study the energy, momentum, angular momentum, and their fluxes along the cylinder both

for this beam and in general. The three Killing vectors of any stationary cylindrical system give three

Komar flux vectors which in turn give six conserved fluxes. We elucidate Komar’s mysterious factor 2 by

evaluating Komar integrals for systems that have no trace to their stress tensors. The Tolman-Komar

formula gives twice the energy for such systems which also have twice the gravity. For other cylindrical

systems their formula gives correct results.

typ: | article |
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journal: | Phys. Rev. D |

volume: | 96 |

pages: | 104053 |

year: | 2017 |