Extensions of the Classical Double Copy

Date

2024-1

Author

Gümüş, Mehmet Kemal

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The classical double copy is a map between certain exact solutions of general relativity and Maxwell’s theory with two different formulations: the Kerr-Schild double copy (KSDC) and the Weyl double copy (WDC). This thesis extends both versions in various directions. In three spacetime dimensions, matter fields should be coupled to gravity to match the vacuum solution of Maxwell’s theory, i.e., the Coulomb solution. In addition to presenting a novel matter coupling with improved behaviour at infinity, some generalizations that admit the study of the regularity of the solutions on both sides are also considered. Also, a formulation of the KSDC with a general background metric in generic D-dimensions is given. For the WDC, a regularization scheme that makes it compatible with the much more general results in the KSDC is proposed.

Subject Keywords

Classical Double Copy, Kerr-Schild Double Copy, Weyl Double Copy

URI

https://hdl.handle.net/11511/108306

Collections

Graduate School of Natural and Applied Sciences, Thesis