Some properties of evolving wormhole geometries within nonlinear electrodynamics
Aaron V. B. Arellano (1), Nora Breton (2), Ricardo Garcia-Salcedo, (3),((1) Universidad Aut\'onoma del Estado de M\'exico, (2) Centro de, Investigaci\'on y de Estudios Avanzados del I.P.N., Mexico (3) CICATA-IPN,, Mexico)
TL;DR
This paper reviews properties of evolving wormhole solutions in Einstein's gravity coupled with nonlinear electrodynamics, analyzing photon geodesics, weak field limits, and traversability conditions, with a focus on Lagrangians depending on electromagnetic invariants.
Contribution
It provides a detailed analysis of evolving wormholes within nonlinear electrodynamics, including geodesic integration and conditions for traversability, highlighting limitations when the Lagrangian depends on multiple invariants.
Findings
Photon geodesics are integrated in the effective geometry.
Weak field limit and traversability conditions are established.
No more general solutions found when the Lagrangian depends on two invariants.
Abstract
In this paper we review some properties for the evolving wormhole solution of Einstein equations coupled with nonlinear electrodynamics. We integrate the geodesic equations in the effective geometry obeyed by photons; we check out the weak field limit and find the traversability conditions. Then we analyze the case when the lagrangian depends on two electromagnetic invariants and it turns out that there is not a more general solution within the assumed geometry.
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