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Showing 1 to 6 of 6 for “"Post-Newtonian Theory"”.
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Bridging the gap between post-Newtonian theory and numerical relativity in gravitational-wave data analysis
… of the most exciting predictions of Einstein's theory of gravitation that have not yet been proven experimentally by a direct detection are gravitational waves. These are tiny distortions of the spacetime itself, and a world-wide effort to directly measure them for the first time with a network …
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Computation Methods for Parametric Analysis of Gravitational Wave Data
… approximation of General Relativity called the Post Newtonian theory. This approximation method is based on the assumption that there is a weak gravity field both inside and around the body. However, scientists cannot justify why Post-Newtonian theory (meant for weak fields) works so well with …
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Mathematical Studies on the Asymptotic Behaviour of Gravitational Radiation in General Relativity
… radiation in astrophysical processes within the theory of general relativity. It is argued that the correct mathematical setup to address this question is the *scattering problem* (as opposed to the Cauchy problem), where data are posed in the infinite past. The choice for these data is informed …
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Modeling the Dynamics of Black Hole Systems and the Ringdown of Black Hole Spacetimes
… techniques including black hole perturbation theory and post-Newtonian theory. First, we describe work to predict and characterize the ringdown gravitational waves from misaligned binary black hole mergers. Working in the large mass ratio limit, we use Teukolsky's equation to calculate the …
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Analytic Modelling of Gravitational-Wave Source in General Relativity and Alternative Theories of Gravity
… template banks used by LIGO are based on the post-Newtonian (PN) formalism for inspiral and on numerical relativity (NR) for merger and ringdown, or resummation methods such as the effective-one-body (EOB) formalism to describe the complete dynamics. In this thesis, we discuss the construction …
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Gravitational Waves and Inspiraling Compact Binaries in Alternative Theories of Gravity
… reviewing the methods of the Parametrized Post-Newtonian: PPN) framework, Direct Integration of Relaxed Einstein Equations: DIRE), and Matched Filtering.</p><p>In Part III, we calculate the explicit equations of motion for non-spinning compact objects: neutron stars or black holes) to 2.5 …