Communication
Version 1
Preserved in Portico This version is not peer-reviewed
Quasinormal Modes at Electron Plasmas
Version 1
: Received: 20 February 2024 / Approved: 21 February 2024 / Online: 22 February 2024 (01:44:00 CET)
How to cite: Wojtyra, A.M.; Stephenson, M.J. Quasinormal Modes at Electron Plasmas. Preprints 2024, 2024021200. https://doi.org/10.20944/preprints202402.1200.v1 Wojtyra, A.M.; Stephenson, M.J. Quasinormal Modes at Electron Plasmas. Preprints 2024, 2024021200. https://doi.org/10.20944/preprints202402.1200.v1
Abstract
We investigate the shear quasinormal modes (QNMs) in the context of electron stars, focusing on the Lifshitz geometry and exploring the behavior in the small star limit. The study begins by analyzing the shear sector modes in the infrared (IR) Lifshitz limit, where the geometry approaches that of a pure Lifshitz space. We derive and solve the differential equations governing the shear modes, revealing the asymptotic behavior in terms of the Lifshitz exponent. In the special case of integer values of the exponent, we obtain analytic corrections to the solutions to extract hydrodynamical QNMs. We then explore the cases with a Lifshitz exponent equal to or greater than three, providing analytical corrections to the Lifshitz IR solutions. A special case with an exponent of two is also considered, leading to modified solutions. The study extends to finding hydrodynamical QNMs, emphasizing the role of the Lifshitz geometry. Further investigations involve the flux with real and complex frequencies, considering the off-shell Lagrangian and deriving conserved flux expressions. Our analysis focuses on the exterior of the star, modeled by the Reissner-Nordström-AdS geometry. The small star limit is examined, revealing interesting features in the behavior of fermionic excitations. In summary, we provide a detailed exploration of shear quasinormal modes in electron stars, shedding light on their behavior in Lifshitz geometry, small star limits, and the interplay between real and complex frequencies. Our findings contribute to our understanding of the dynamics of electron stars and their gravitational properties.
Keywords
Lifshitz black holes; holography; quasinormal modes; shear sector modes; small star limit; Reissner-Nordström-AdS; hydrodynamical modes; flux analysis; infrared limit; holographic techniques
Subject
Physical Sciences, Mathematical Physics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Comments (0)
We encourage comments and feedback from a broad range of readers. See criteria for comments and our Diversity statement.
Leave a public commentSend a private comment to the author(s)
* All users must log in before leaving a comment
