An effective formalism for testing extensions to General Relativity with gravitational waves
arXiv:1704.01590 · doi:10.1007/JHEP09(2017)122
Abstract
The recent direct observation of gravitational waves (GW) from merging black holes opens up the possibility of exploring the theory of gravity in the strong regime at an unprecedented level. It is therefore interesting to explore which extensions to General Relativity (GR) could be detected. We construct an Effective Field Theory (EFT) satisfying the following requirements. It is testable with GW observations; it is consistent with other experiments, including short distance tests of GR; it agrees with widely accepted principles of physics, such as locality, causality and unitarity; and it does not involve new light degrees of freedom. The most general theory satisfying these requirements corresponds to adding to the GR Lagrangian operators constructed out of powers of the Riemann tensor, suppressed by a scale comparable to the curvature of the observed merging binaries. The presence of these operators modifies the gravitational potential between the compact objects, as well as their effective mass and current quadrupoles, ultimately correcting the waveform of the emitted GW.
v1: 43+16 pages, 11 figures, 2 tables; v2: minor corrections; v3: minor corrections, JHEP published version
References in corpus (6)
- Causality, Analyticity and an IR Obstruction to UV Completion
- Tests of the Gravitational Inverse-Square Law below the Dark-Energy Length Scale
- Testing General Relativity with Atom Interferometry
- The Invar tensor package: Differential invariants of Riemann
- Space-based tests of gravity with laser ranging
- Attempt to explain black hole spin in X-ray binaries with new physics
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- Ringing of rotating black holes in higher-derivative gravity
- Black-hole ringdown as a probe of higher-curvature gravity theories
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- Extremal Kerr black holes as amplifiers of new physics
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- An approach to computing spectral shifts for black holes beyond Kerr
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- Testing the multipole structure of compact binaries using gravitational wave observations
- Towards the nonlinear regime in extensions to GR: assessing possible options
- Implications of the Weak Gravity Conjecture for Tidal Love Numbers of Black Holes
- Tests of general relativity using multiband observations of intermediate mass binary black hole mergers
- Modelling self-consistently beyond General Relativity
- Eikonal quasinormal modes of black holes beyond general relativity III: scalar Gauss-Bonnet gravity
- Causality Constraints on Black Holes beyond GR
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