Numerical Analysis of Simplified Relic-Birefringent Gravitational Waves

Explore the numerical analysis of simplified relic-birefringent gravitational waves in this 48-minute lecture by Rafael dela Torre, a UHCL alumnus from the Graduate Physics Program. Delve into the importance of gravitational waves created during inflation in the early universe and their role in cosmological structure formation. Examine the challenges of obtaining analytical results for complex gravity wave equations and learn about the numerical techniques used to explore general solutions. Investigate the birefringent gravity wave equation, its similarities to the Coulomb wave equation from Quantum Mechanics, and the computational approaches used to solve these equations. Discover how the power spectrum for the present universe is calculated and how these results can be tested by current and planned observatories like LISA and Advanced LIGO. Follow the lecture's progression through topics such as Big Bang problems, inflation theory, relic gravity waves, mole function, effective potential, and the shape of the universe, culminating in a presentation of numerical results and a discussion of limitations and future work in this fascinating field of cosmology.