Studies on Propagation of Gravitational Waves in Vaidya Spacetime

Ghosh, Suprovo (2019) Studies on Propagation of Gravitational Waves in Vaidya Spacetime. Masters thesis, Indian Institute Of Science Education And Research Kolkata.

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The astronomical objects such as stars, supernovae, quasars emit radiation which makes the surrounding spacetime non-empty. Here, we consider the propagation of gravitational waves in Vaidya spacetime which describes the spacetime around a radiating star. After deriving the general gravitational wave equation in an arbitrary curved background, we decompose the perturbation tensor in a suitable gauge using Vaidya metric as background. Using the self-similar model for the mass function of the radiating star, we solve the gravitational wave equation to find a class of analytic solutions. We show that the angular parts of the gravitational waves are spin-weighted spherical harmonics with spin ±2 as expected. We also find that the polarisation phases are not affected by the mass and radiation parameters of the Vaidya spacetime. To understand of the effect of curvature and radiation on the propagation of gravitational waves, a comparative study with Schwarzschild background is performed.

Item Type: Thesis (Masters)
Additional Information: Supervisor: Dr. Golam Mortuza Hossain
Uncontrolled Keywords: Gravitation; Gravitational Waves; Gravity Equation; Minkowski Spacetime; Vaidya Metric; Vaidya Spacetime
Subjects: Q Science > QC Physics
Divisions: Department of Physical Sciences
Depositing User: IISER Kolkata Librarian
Date Deposited: 03 Oct 2019 06:12
Last Modified: 03 Oct 2019 06:13

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