May 26 – 31, 2024
Western University
America/Toronto timezone
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The Role of r-Modes in Pulsar Spindown, Pulsar Timing, and Gravitational Waves

May 29, 2024, 9:30 AM
15m
PAB 106 (cap. 96) (Physics & Astronomy Bldg., Western U.)

PAB 106 (cap. 96)

Physics & Astronomy Bldg., Western U.

Oral (Non-Student) / Orale (non-étudiant(e)) Symposia Day (DTP/DNP - DPT/DPN) - Computational Advances in Astrophysics and Cosmology / Avancées informatiques en astrophysique et en cosmologie (DTP/DNP) W1-1 Astrophysics | Astrophysique (DPT/DPN)

Speaker

Prof. S. R. Valluri (University of Western Ontario)

Description

Pulsars are fast-spinning neutron stars that lose their rotational energy via various processes such as gravitational and electromagnetic radiation, particle acceleration, and mass loss processes. Pulsar energy dissipation can be quantified by a spin-down equation that measures the rate of change of pulsar rotational frequency as a function of the frequency itself. We explore the pulsar spin-down equation and consider the spin-down term up to the seventh order in frequency. The seventh-order spin-down term accounts for energy carried away in the form of gravitational radiation due to a current-type quadrupole in the pulsar induced by r-modes. We derive analytical formulae of pulsar r-mode gravitational wave frequency in terms of pulsar compactness, tidal deformability, r-mode amplitude, and gravitational wave amplitude. We find solutions to the above relationships using the Lambert-Tsallis and Lambert-W functions. We also present an analytic solution of the pulsar rotational period from the spin-down equation and numerically verify it for the Crab pulsar PSR B0531+21. Accurate analysis of pulsar energy loss, spin-down, and gravitational wave emission are relevant for precise pulsar timing. The search for continuous gravitational waves with 3-rd generation ground-based and space-based gravitational wave detectors will provide additional insights to determine a more accurate neutron star equation of state.

Keyword-1 Pulsar Timing Array
Keyword-2 r-Modes
Keyword-3 Gravitational Waves

Authors

Xiyuan Li (University of Western Ontario) Varenya Upadhyaya (Indian Institute of Technology, Hyderabad,) Xiyang Zhang (University of Western Ontario) Prof. S. R. Valluri (University of Western Ontario)

Presentation materials

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