A Rosetta Stone for Parameterized Tests of Gravity

Abstract

Several model-independent parameterizations of deviations from General Relativity have been developed to test Einstein's theory. Although these different parameterizations were developed for different gravitational observables, they ultimately all test the same underlying physics. In this paper, we develop connections between the parameterized post-Newtonian, parameterized post-Keplerian, and the parameterized post-Einsteinian frameworks, developed to carry out tests of General Relativity with Solar System, binary pulsar, and gravitational wave observations respectively. These connections allow us to use knowledge gained from one framework to inform and guide tests using the others. Relating these parameterizations and combining the results from each approach strengthens our tests of General Relativity.

13 pages, 1 figure, 7 tables, submitted to Phys. Rev. D

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• Mis-Modelling in Gravitational Wave Astronomy: The Trouble With Templates
• Bounding Alternative Theories of Gravity with Multi-Band GW Observations
• Projected Constraints on Lorentz-Violating Gravity with Gravitational Waves
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• Searching for ringdown higher modes with a numerical relativity-informed post-merger model
• Constraining modified theories of gravity with gravitational wave stochastic background
• Constraining alternative polarization states of gravitational waves from individual black hole binaries using pulsar timing arrays
• Parameterized Post-Einsteinian Framework for Precessing Binaries
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• Supermassive Black Hole Tests of General Relativity with eLISA
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• A covariant approach to parameterised cosmological perturbations
• The momentum constraint equation in Parameterised Post-Newtonian Cosmology
• More than the sum of its parts: combining parameterized tests of extreme gravity