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Title On the spacetime of the extreme Kerr throat
Author Ζουμής, Αθανάσιος
Thesis advisor Πορφυριάδης, Αχιλλέας
Abstract This thesis explores the application of Effective Field Theory (EFT) as an extension of General Relativity (GR), focusing on the Near-Horizon Extreme Kerr (NHEK) geometry. This study begins by introducing the essential concepts of Kerr spacetime in Chapter 1, such as symmetries, Killing Fields and singularities. Then, it proceeds in a brief presen- tation on some exotic features associated with the rotating nature of Kerr. Chapter 2 is focused on deriving the NHEK metric and studying its key aspects concluding with the demonstration of the wave equation in that background. Finally, in Chapter 3 lies the motivation for utilizing purely gravitational EFT in GR. This work formulates an EFT which incorporates higher order corrections in the Einstein-Hilbert Lagrangian based on the work of [1]. Further on, it investigates the EFT-corrected NHEK geometry along with the impact of these corrections in the wave equation. It concludes with the derivation of the EFT-corrected radial and angular wave equations. The solution of these equations appears to be non-trivial and therefore further work on them is in order.
Language English
Issue date 2024-07-11
Collection   School/Department--School of Sciences and Engineering--Department of Physics--Graduate theses
  Type of Work--Graduate theses
Permanent Link https://elocus.lib.uoc.gr//dlib/c/d/4/metadata-dlib-1718715089-132677-10887.tkl Bookmark and Share
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