Kinetic energy and angular momentum of free particles in a class of rotating cylindrical gravitational waves using the Noether symmetry approach.

  • Published In: International Journal of Geometric Methods in Modern Physics, 2025, v. 22, n. 8. P. 1 1 of 3

  • Database: Academic Search Ultimate 2 of 3

  • Authored By: Abbasi, Kamran Qadir; Hussain, Ibrar 3 of 3

Abstract

In this paper, we investigate the kinetic energy and angular momentum of free particles in a class of rotating cylindrical gravitational wave spacetimes, using the Noether symmetry approach. For that purpose, we determine the conserved quantities and subsequently analyze them for the velocities of free particles in the spacetimes, thereby simplifying the relationship between velocities and coordinates. Our analysis demonstrates that arbitrary choices of metric coefficients lead to fluctuations in the velocity of free particles, thereby causing variations in their kinetic energy under the influence of rotating cylindrical gravitational waves. Furthermore, we derive expressions for the angular momentum imparted to free particles by these waves, considering various scenarios for metric coefficients. Interestingly, we observe that the angular momentum of free particles initially experiences an increase over time but eventually starts to decrease after a certain duration. [ABSTRACT FROM AUTHOR]

Additional Information

  • Source:International Journal of Geometric Methods in Modern Physics. 2025/07, Vol. 22, Issue 8, p1
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2025
  • ISSN:0219-8878
  • DOI:10.1142/S0219887825500422
  • Accession Number:186053692
  • Copyright Statement:Copyright of International Journal of Geometric Methods in Modern Physics is the property of World Scientific Publishing Company and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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