riassunto2

ES3 - Exact Solutions (including higher dimensions)

Speaker

Hejda, Filip

Coauthors

Kimura, Masashi; Harada, Tomohiro

Talk Title

Generalisation of BSW effect using Carter's spacetime with electromagnetic field

Abstract

The possibility of test particle collisions with arbitrarily high centre-of-mass energies was studied extensively in the last decade. Being named after Bañados, Silk and West, who promoted it, multiple variants of this BSW effect were discussed for various types of extremal black holes. Because of such ubiquity, we are striving to create a general framework meant to encompass known special cases and show transitions between them. After we explored the mixing between the centrifugal and electrostatic version of the BSW effect in our previous work [Phys. Rev. D 95, 084055 (2017)], we would like to further generalise our framework to particles moving at arbitrary latitude. However, this leads to grave difficulties, as non-equatorial motion in a general ("dirty") black-hole spacetime is chaotic. To circumvent this obstacle, we focus on exact solutions with additional symmetry, which leads to integrability of electrogeodesic motion. Even in this case it is possible to retain some model independence by using the general form of Carter's metric. Indeed, our ongoing work shows that techniques developed for the equatorial motion can be applied to Carter's spacetime as well. Because of non-uniqueness of this generalisation, in the present talk we wish to compare the possible methods and illustrate their merit with plots for Kerr-Newman solution.

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