riassunto2

ES3 - Exact Solutions (including higher dimensions)

Speaker

Balek, Vladimír

Coauthors

Cermák, Martin

Talk Title

Equal-fields cylindrical electrovacuum universes

Abstract

We explore a family of solutions to Einstein-Maxwell equations with cylindrical symmetry, in which both metric and electromagnetic field are expressed in terms elementary functions. This is achieved by choosing the integration constants in (00) and (22) components of Einstein equations equal to each other, which is equivalent to putting electric field (transversal) and magnetic field (longitudinal), under suitable rescaling of coordinates, equal to each other. We discuss the connection between our family of solutions and previously known solutions summarized in the 1983 paper by MacCallum, analyze properties of spacetime described by our solutions and show how the equal-fields condition can be relaxed perturbatively.

Talk view

ES3-598BA995IR.pdf

 

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