Energetics of the Einstein-Rosen spacetime
L. Herrera, A. Di Prisco, J. Carot, N.O. Santos
TL;DR
This paper analyzes the Einstein-Rosen spacetime's energy properties, showing it lacks purely magnetic solutions, that purely electric cases are static, and exploring energy flow via Poynting vectors in specific wave solutions.
Contribution
It provides new insights into the electromagnetic-like properties and energy flow in Einstein-Rosen spacetimes, including explicit calculations of Poynting vectors for pulse solutions.
Findings
No purely magnetic Einstein-Rosen spacetimes exist.
Purely electric Einstein-Rosen spacetimes are necessarily static.
Pulse solutions exhibit inward energy flow behind the wave front.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.