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Energetics of the Einstein-Rosen spacetime

L. Herrera·A. Di Prisco·J. Carot·N. O. Santos
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Abstract

A study covering some aspects of the Einstein--Rosen metric is presented. The electric and magnetic parts of the Weyl tensor are calculated. It is shown that there are no purely magnetic E--R spacetimes, and also that a purely electric E--R spacetime is necessarily static. The geodesics equations are found and circular ones are analyzed in detail. The super--Poynting and the ``Lagrangian'' Poynting vectors are calculated and their expressions are found for two specific examples. It is shown that for a pulse--type solution, both expressions describe an inward radially directed flow of energy, far behind the wave front. The physical significance of such an effect is discussed.

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L. Herrera, A. Di Prisco, J. Carot, N. O. Santos. 2007-04-16. Energetics of the Einstein-Rosen spacetime. https://doi.org/10.1007/s10773-007-9460-9

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