2012/06/05 by Prayush Kumar, P. Kumar, Kumar, Prayush · 1 citation
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Astrophysics #Black hole (networking) #Computer science #Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #Flux (metallurgy) #Gamma-ray bursts and supernovae #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Gravitational energy #Gravitational wave #J.2 #Markov chain Monte Carlo #Mathematics #Monte Carlo method #Physics #Pulsars and Gravitational Waves Research #Statistical physics #Statistics #astro-ph.CO #gr-qc
paper · pdf · doi:10.48550/arxiv.1206.0915
published in arXiv (Cornell University) (Cornell University) · (59 pgs, 25figs). Undergraduate Thesis submitted to Birla Institute of Technology & Science, Pilani, India; on 15th December, 2008
arxiv created 2012/06/05 · openalex publication_date 2012/06/05 · arxiv updated 2012/06/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this work, the focus is on the improvement of the existing post-Newtonian approximation for the gravitational flux from Super Massive Black Hole Binaries. In order to improve the existing templates for LISA, we need more accurate post-Newtonian expansions for the gravitational flux. Stochastic search techniques like the Markov Chain Monte Carlo (MCMC) have been used extensively for searching for sky parameters etc. The idea is to combine the two and approach the problem of finding post-Newtonian coefficients using MCMC. It has been shown that matching against a 5.5PN signal, with noise, the last coefficient can be found by MCMC very easily and displays fast convergence. Also the space for higher dimensional searches are explored.