LIGO Document T2100267-v1

Understanding the Physical Degrees of Freedom in a Parameterized Test of General Relativity

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T - Technical notes
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This paper provides a framework for understanding the physical degrees of freedom in a parameterized test of general relativity. In particular, we vary the post-Newtonian (PN) coefficients, the phenomenological coefficients, and the analytical black-hole perturbation theory waveform parameters, and observe how this would affect the waveform and hence the physical parameters. The physical parameters include the power radiated and the rate of angular momentum. Although it is possible to map the dephasing coefficients to physical quantities, the inverse mapping of the physical quantities to the dephasing coefficients is unknown. Therefore, this paper presents a method of obtaining this inverse mapping using the Gaussian Mixture Model (GMM).

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