An effective formalism for testing extensions to General Relativity with gravitational waves
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.
 Authors:

 Stanford Univ., CA (United States). Stanford Inst. for Theoretical Physics
 Publication Date:
 Research Org.:
 Stanford Univ., CA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC)
 OSTI Identifier:
 1468796
 Grant/Contract Number:
 SC0008078
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Journal of High Energy Physics (Online)
 Additional Journal Information:
 Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 9; Journal ID: ISSN 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 79 ASTRONOMY AND ASTROPHYSICS; Effective Field Theories; Black Holes; Classical Theories of Gravity
Citation Formats
Endlich, Solomon, Gorbenko, Victor, Huang, Junwu, and Senatore, Leonardo. An effective formalism for testing extensions to General Relativity with gravitational waves. United States: N. p., 2017.
Web. https://doi.org/10.1007/JHEP09(2017)122.
Endlich, Solomon, Gorbenko, Victor, Huang, Junwu, & Senatore, Leonardo. An effective formalism for testing extensions to General Relativity with gravitational waves. United States. https://doi.org/10.1007/JHEP09(2017)122
Endlich, Solomon, Gorbenko, Victor, Huang, Junwu, and Senatore, Leonardo. Fri .
"An effective formalism for testing extensions to General Relativity with gravitational waves". United States. https://doi.org/10.1007/JHEP09(2017)122. https://www.osti.gov/servlets/purl/1468796.
@article{osti_1468796,
title = {An effective formalism for testing extensions to General Relativity with gravitational waves},
author = {Endlich, Solomon and Gorbenko, Victor and Huang, Junwu and Senatore, Leonardo},
abstractNote = {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.},
doi = {10.1007/JHEP09(2017)122},
journal = {Journal of High Energy Physics (Online)},
number = 9,
volume = 2017,
place = {United States},
year = {2017},
month = {9}
}
Web of Science
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Works referenced in this record:
Causality, analyticity and an IR obstruction to UV completion
journal, October 2006
 Adams, Allan; ArkaniHamed, Nima; Dubovsky, Sergei
 Journal of High Energy Physics, Vol. 2006, Issue 10
Classical space–times from the Smatrix
journal, December 2013
 Neill, Duff; Rothstein, Ira Z.
 Nuclear Physics B, Vol. 877, Issue 2
SpaceBased Tests of Gravity with Laser Ranging
journal, December 2007
 Turyshev, Slava G.; Williams, James G.
 International Journal of Modern Physics D, Vol. 16, Issue 12a
Tests of the Gravitational InverseSquare Law below the DarkEnergy Length Scale
journal, January 2007
 Kapner, D. J.; Cook, T. S.; Adelberger, E. G.
 Physical Review Letters, Vol. 98, Issue 2
The black hole binary A062000
journal, September 1986
 McClintock, J. E.; Remillard, R. A.
 The Astrophysical Journal, Vol. 308
Normal forms for tensor polynomials. I. The Riemann tensor
journal, May 1992
 Fulling, S. A.; King, R. C.; Wybourne, B. G.
 Classical and Quantum Gravity, Vol. 9, Issue 5
Torsionbalance tests of the weak equivalence principle
journal, August 2012
 Wagner, T. A.; Schlamminger, S.; Gundlach, J. H.
 Classical and Quantum Gravity, Vol. 29, Issue 18
Testing General Relativity with Atom Interferometry
journal, March 2007
 Dimopoulos, Savas; Graham, Peter W.; Hogan, Jason M.
 Physical Review Letters, Vol. 98, Issue 11
Attempt to explain black hole spin in Xray binaries by new physics
journal, January 2015
 Bambi, Cosimo
 The European Physical Journal C, Vol. 75, Issue 1
A note on causality constraining higher curvature corrections to gravity
journal, June 2007
 Gruzinov, A.; Kleban, M.
 Classical and Quantum Gravity, Vol. 24, Issue 13
Algebraic invariants of the Riemann tensor in a four‐dimensional Lorentzian space
journal, November 1991
 Carminati, J.; McLenaghan, R. G.
 Journal of Mathematical Physics, Vol. 32, Issue 11
Evolution of Binary BlackHole Spacetimes
journal, September 2005
 Pretorius, Frans
 Physical Review Letters, Vol. 95, Issue 12
Testing the Bardeen metric with the black hole candidate in Cygnus X1
journal, March 2014
 Bambi, Cosimo
 Physics Letters B, Vol. 730
The Invar tensor package: Differential invariants of Riemann
journal, October 2008
 MartínGarcía, J. M.; Yllanes, D.; Portugal, R.
 Computer Physics Communications, Vol. 179, Issue 8
Observation of Gravitational Waves from a Binary Black Hole Merger
journal, February 2016
 Abbott, B. P.; Abbott, R.; Abbott, T. D.
 Physical Review Letters, Vol. 116, Issue 6
The effective field theorist’s approach to gravitational dynamics
journal, May 2016
 Porto, Rafael A.
 Physics Reports, Vol. 633
Causality constraints on corrections to the graviton threepoint coupling
journal, February 2016
 Camanho, Xián O.; Edelstein, José D.; Maldacena, Juan
 Journal of High Energy Physics, Vol. 2016, Issue 2
Torsion balance experiments: A lowenergy frontier of particle physics
journal, January 2009
 Adelberger, E. G.; Gundlach, J. H.; Heckel, B. R.
 Progress in Particle and Nuclear Physics, Vol. 62, Issue 1
Tests of General Relativity with GW150914
journal, May 2016
 Abbott, B. P.; Abbott, R.; Abbott, T. D.
 Physical Review Letters, Vol. 116, Issue 22
PostNewtonian corrections to the motion of spinning bodies in nonrelativistic general relativity
journal, May 2006
 Porto, Rafael A.
 Physical Review D, Vol. 73, Issue 10
A new test of general relativity  Gravitational radiation and the binary pulsar PSR 1913+16
journal, February 1982
 Taylor, J. H.; Weisberg, J. M.
 The Astrophysical Journal, Vol. 253
Orbital Parameters for the Black Hole Binary XTE J1650−500
journal, November 2004
 Orosz, Jerome A.; McClintock, Jeffrey E.; Remillard, Ronald A.
 The Astrophysical Journal, Vol. 616, Issue 1
Measuring Black Hole Spin Using XRay Reflection Spectroscopy
journal, August 2013
 Reynolds, Christopher S.
 Space Science Reviews, Vol. 183, Issue 14
Black Hole Spin via Continuum Fitting and the Role of Spin in Powering Transient Jets
journal, July 2013
 McClintock, Jeffrey E.; Narayan, Ramesh; Steiner, James F.
 Space Science Reviews, Vol. 183, Issue 14
Works referencing / citing this record:
Effective field theory of black hole quasinormal modes in scalartensor theories
journal, February 2019
 Franciolini, Gabriele; Hui, Lam; Penco, Riccardo
 Journal of High Energy Physics, Vol. 2019, Issue 2
Higher derivative corrections to Kerr black hole thermodynamics
journal, April 2019
 Reall, Harvey S.; Santos, Jorge E.
 Journal of High Energy Physics, Vol. 2019, Issue 4
Leading higherderivative corrections to Kerr geometry
journal, May 2019
 Cano, Pablo A.; Ruipérez, Alejandro
 Journal of High Energy Physics, Vol. 2019, Issue 5
Probing axions with neutron star inspirals and other stellar processes
journal, June 2018
 Hook, Anson; Huang, Junwu
 Journal of High Energy Physics, Vol. 2018, Issue 6
All highercurvature gravities as Generalized quasitopological gravities
journal, November 2019
 Bueno, Pablo; Cano, Pablo A.; Moreno, Javier
 Journal of High Energy Physics, Vol. 2019, Issue 11
Consistency of the standard model effective field theory
journal, December 2019
 Remmen, Grant N.; Rodd, Nicholas L.
 Journal of High Energy Physics, Vol. 2019, Issue 12
Extreme gravity tests with gravitational waves from compact binary coalescences: (I) inspiral–merger
journal, April 2018
 Berti, Emanuele; Yagi, Kent; Yunes, Nicolás
 General Relativity and Gravitation, Vol. 50, Issue 4
Towards the nonlinear regime in extensions to GR: assessing possible options
journal, April 2019
 Allwright, Gwyneth; Lehner, Luis
 Classical and Quantum Gravity, Vol. 36, Issue 8
Effective field theory for gravitational radiation in scalartensor gravity
journal, May 2019
 Kuntz, Adrien; Piazza, Federico; Vernizzi, Filippo
 Journal of Cosmology and Astroparticle Physics, Vol. 2019, Issue 05
Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes
journal, August 2019
 McManus, Ryan; Berti, Emanuele; Macedo, Caio F. B.
 Physical Review D, Vol. 100, Issue 4
Black hole dynamics in EinsteinMaxwelldilaton theory
journal, March 2018
 Hirschmann, Eric W.; Lehner, Luis; Liebling, Steven L.
 Physical Review D, Vol. 97, Issue 6
Probing ultralight bosons with binary black holes
journal, February 2019
 Baumann, Daniel; Chia, Horng Sheng; Porto, Rafael A.
 Physical Review D, Vol. 99, Issue 4
Prospects for axion searches with Advanced LIGO through binary mergers
journal, March 2019
 Huang, Junwu; Johnson, Matthew C.; Sagunski, Laura
 Physical Review D, Vol. 99, Issue 6
Parametrized black hole quasinormal ringdown: Decoupled equations for nonrotating black holes
journal, May 2019
 Cardoso, Vitor; Kimura, Masashi; Maselli, Andrea
 Physical Review D, Vol. 99, Issue 10
Forecasts for low spin black hole spectroscopy in Horndeski gravity
journal, May 2019
 Tattersall, Oliver J.; Ferreira, Pedro G.
 Physical Review D, Vol. 99, Issue 10
Black Holes in an Effective Field Theory Extension of General Relativity
journal, December 2018
 Cardoso, Vitor; Kimura, Masashi; Maselli, Andrea
 Physical Review Letters, Vol. 121, Issue 25
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