Black Holes in an Effective Field Theory Extension of General Relativity
Abstract
Effective field theory methods suggest that some rather general extensions of general relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary. Thus, the tantalizing prospect to test the fundamental nature of gravity with gravitational-wave observations, in a systematic way, emerges naturally. Here, we build black hole solutions in such a framework and study their main properties. Once rotation is included, we find the first purely gravitational example of geometries without Z2 symmetry. Despite the higher-order operators of the theory, we show that linearized fluctuations of such geometries obey second-order differential equations. We find nonzero tidal Love numbers. We study and compute the quasinormal modes of such geometries. These results are of interest to gravitational-wave science but also potentially relevant for electromagnetic observations of the galactic center or x-ray binaries.
- Authors:
-
- Universidade de Lisboa–UL (Portugal); CERN 1 Esplanade des Particules, Geneva (Switzerland)
- Universidade de Lisboa–UL (Portugal)
- SLAC National Accelerator Lab., Menlo Park, CA (United States); Stanford Univ., CA (United States)
- Publication Date:
- Research Org.:
- SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
- Sponsoring Org.:
- USDOE
- OSTI Identifier:
- 1493408
- Grant/Contract Number:
- AC02-76SF00515; 646597; 690904; CA16104; 1720397
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 121; Journal Issue: 25; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Citation Formats
Cardoso, Vitor, Kimura, Masashi, Maselli, Andrea, and Senatore, Leonardo. Black Holes in an Effective Field Theory Extension of General Relativity. United States: N. p., 2018.
Web. doi:10.1103/physrevlett.121.251105.
Cardoso, Vitor, Kimura, Masashi, Maselli, Andrea, & Senatore, Leonardo. Black Holes in an Effective Field Theory Extension of General Relativity. United States. https://doi.org/10.1103/physrevlett.121.251105
Cardoso, Vitor, Kimura, Masashi, Maselli, Andrea, and Senatore, Leonardo. Thu .
"Black Holes in an Effective Field Theory Extension of General Relativity". United States. https://doi.org/10.1103/physrevlett.121.251105. https://www.osti.gov/servlets/purl/1493408.
@article{osti_1493408,
title = {Black Holes in an Effective Field Theory Extension of General Relativity},
author = {Cardoso, Vitor and Kimura, Masashi and Maselli, Andrea and Senatore, Leonardo},
abstractNote = {Effective field theory methods suggest that some rather general extensions of general relativity include, or are mimicked by, certain higher-order curvature corrections, with coupling constants expected to be small but otherwise arbitrary. Thus, the tantalizing prospect to test the fundamental nature of gravity with gravitational-wave observations, in a systematic way, emerges naturally. Here, we build black hole solutions in such a framework and study their main properties. Once rotation is included, we find the first purely gravitational example of geometries without Z2 symmetry. Despite the higher-order operators of the theory, we show that linearized fluctuations of such geometries obey second-order differential equations. We find nonzero tidal Love numbers. We study and compute the quasinormal modes of such geometries. These results are of interest to gravitational-wave science but also potentially relevant for electromagnetic observations of the galactic center or x-ray binaries.},
doi = {10.1103/physrevlett.121.251105},
journal = {Physical Review Letters},
number = 25,
volume = 121,
place = {United States},
year = {Thu Dec 20 00:00:00 EST 2018},
month = {Thu Dec 20 00:00:00 EST 2018}
}
Web of Science
Works referenced in this record:
Testing the black hole ‘no-hair’ hypothesis
journal, August 2016
- Cardoso, Vitor; Gualtieri, Leonardo
- Classical and Quantum Gravity, Vol. 33, Issue 17
Gravitational Field of a Particle Falling in a Schwarzschild Geometry Analyzed in Tensor Harmonics
journal, November 1970
- Zerilli, Frank J.
- Physical Review D, Vol. 2, Issue 10
On the gravitational effects of rotating masses: The Thirring-Lense papers
journal, August 1984
- Mashhoon, Bahram; Hehl, Friedrich W.; Theiss, Dietmar S.
- General Relativity and Gravitation, Vol. 16, Issue 8
Toward the event horizon—the supermassive black hole in the Galactic Center
journal, November 2013
- Falcke, H.; Markoff, S. B.
- Classical and Quantum Gravity, Vol. 30, Issue 24
Erratum: Is the Gravitational-Wave Ringdown a Probe of the Event Horizon? [Phys. Rev. Lett. 116 , 171101 (2016)]
journal, August 2016
- Cardoso, Vitor; Franzin, Edgardo; Pani, Paolo
- Physical Review Letters, Vol. 117, Issue 8
Publisher’s Note: Testing strong-field gravity with tidal Love numbers [Phys. Rev. D 95 , 084014 (2017)]
journal, April 2017
- Cardoso, Vitor; Franzin, Edgardo; Maselli, Andrea
- Physical Review D, Vol. 95, Issue 8
Black hole stereotyping: induced gravito-static polarization
journal, February 2012
- Kol, Barak; Smolkin, Michael
- Journal of High Energy Physics, Vol. 2012, Issue 2
Motion in time-periodic backgrounds with applications to ultralight dark matter halos at galactic centers
journal, July 2018
- Bošković, Mateja; Duque, Francisco; Ferreira, Miguel C.
- Physical Review D, Vol. 98, Issue 2
Stability of a Schwarzschild Singularity
journal, November 1957
- Regge, Tullio; Wheeler, John A.
- Physical Review, Vol. 108, Issue 4
Is the Gravitational-Wave Ringdown a Probe of the Event Horizon?
journal, April 2016
- Cardoso, Vitor; Franzin, Edgardo; Pani, Paolo
- Physical Review Letters, Vol. 116, Issue 17
Multipole expansions of gravitational radiation
journal, April 1980
- Thorne, Kip S.
- Reviews of Modern Physics, Vol. 52, Issue 2
Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
journal, July 2018
- Abuter, R.; Amorim, A.; Anugu, N.
- Astronomy & Astrophysics, Vol. 615
Probing Planckian Corrections at the Horizon Scale with LISA Binaries
journal, February 2018
- Maselli, Andrea; Pani, Paolo; Cardoso, Vitor
- Physical Review Letters, Vol. 120, Issue 8
Characterization of echoes: A Dyson-series representation of individual pulses
journal, April 2018
- Correia, Miguel R.; Cardoso, Vitor
- Physical Review D, Vol. 97, Issue 8
Black hole mergers and the QCD axion at Advanced LIGO
journal, February 2017
- Arvanitaki, Asimina; Baryakhtar, Masha; Dimopoulos, Savas
- Physical Review D, Vol. 95, Issue 4
Tests for the existence of black holes through gravitational wave echoes
journal, September 2017
- Cardoso, Vitor; Pani, Paolo
- Nature Astronomy, Vol. 1, Issue 9
Geodesic Models of Quasi-periodic-oscillations as Probes of Quadratic Gravity
journal, June 2017
- Maselli, Andrea; Pani, Paolo; Cotesta, Roberto
- The Astrophysical Journal, Vol. 843, Issue 1
Slowly Rotating Relativistic Stars. II. Models for Neutron Stars and Supermassive Stars
journal, September 1968
- Hartle, James B.; Thorne, Kip S.
- The Astrophysical Journal, Vol. 153
Black holes and scalar fields
journal, October 2015
- Sotiriou, Thomas P.
- Classical and Quantum Gravity, Vol. 32, Issue 21
Relativistic tidal properties of neutron stars
journal, October 2009
- Damour, Thibault; Nagar, Alessandro
- Physical Review D, Vol. 80, Issue 8
Testing General Relativity with the Shadow Size of Sgr
journal, January 2016
- Johannsen, Tim; Broderick, Avery E.; Plewa, Philipp M.
- Physical Review Letters, Vol. 116, Issue 3
Black Hole Spectroscopy with Coherent Mode Stacking
journal, April 2017
- Yang, Huan; Yagi, Kent; Blackman, Jonathan
- Physical Review Letters, Vol. 118, Issue 16
Testing strong-field gravity with tidal Love numbers
journal, April 2017
- Cardoso, Vitor; Franzin, Edgardo; Maselli, Andrea
- Physical Review D, Vol. 95, Issue 8
Slowly Rotating Relativistic Stars. I. Equations of Structure
journal, December 1967
- Hartle, James B.
- The Astrophysical Journal, Vol. 150
Black holes as particle detectors: evolution of superradiant instabilities
journal, June 2015
- Brito, Richard; Cardoso, Vitor; Pani, Paolo
- Classical and Quantum Gravity, Vol. 32, Issue 13
Orbital fingerprints of ultralight scalar fields around black holes
journal, October 2017
- Ferreira, Miguel C.; Macedo, Caio F. B.; Cardoso, Vitor
- Physical Review D, Vol. 96, Issue 8
Echoes from the abyss: Tentative evidence for Planck-scale structure at black hole horizons
journal, October 2017
- Abedi, Jahed; Dykaar, Hannah; Afshordi, Niayesh
- Physical Review D, Vol. 96, Issue 8
String axiverse
journal, June 2010
- Arvanitaki, Asimina; Dimopoulos, Savas; Dubovsky, Sergei
- Physical Review D, Vol. 81, Issue 12
Testing general relativity with present and future astrophysical observations
journal, December 2015
- Berti, Emanuele; Barausse, Enrico; Cardoso, Vitor
- Classical and Quantum Gravity, Vol. 32, Issue 24
The effective field theorist’s approach to gravitational dynamics
journal, May 2016
- Porto, Rafael A.
- Physics Reports, Vol. 633
Asymptotically flat black holes with scalar hair: A review
journal, July 2015
- Herdeiro, Carlos A. R.; Radu, Eugen
- International Journal of Modern Physics D, Vol. 24, Issue 09
Quasinormal modes of black holes and black branes
journal, July 2009
- Berti, Emanuele; Cardoso, Vitor; Starinets, Andrei O.
- Classical and Quantum Gravity, Vol. 26, Issue 16
Tests of General Relativity with GW150914
journal, May 2016
- Abbott, B. P.; Abbott, R.; Abbott, T. D.
- Physical Review Letters, Vol. 116, Issue 22
Gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
journal, March 2006
- Berti, Emanuele; Cardoso, Vitor; Will, Clifford M.
- Physical Review D, Vol. 73, Issue 6
The tune of love and the nature(ness) of spacetime : The tune of love and the
journal, September 2016
- Porto, Rafael A.
- Fortschritte der Physik, Vol. 64, Issue 10
Gravitational wave searches for ultralight bosons with LIGO and LISA
journal, September 2017
- Brito, Richard; Ghosh, Shrobana; Barausse, Enrico
- Physical Review D, Vol. 96, Issue 6
Testing General Relativity with Accretion-Flow Imaging of Sgr
journal, August 2016
- Johannsen, Tim; Wang, Carlos; Broderick, Avery E.
- Physical Review Letters, Vol. 117, Issue 9
The Confrontation between General Relativity and Experiment
journal, March 2006
- Will, Clifford M.
- Living Reviews in Relativity, Vol. 9, Issue 1
Lense-Thirring Precession and Quasi-periodic Oscillations in Low-Mass X-Ray Binaries
journal, January 1998
- Stella, Luigi; Vietri, Mario
- The Astrophysical Journal, Vol. 492, Issue 1
A recipe for echoes from exotic compact objects
journal, October 2017
- Mark, Zachary; Zimmerman, Aaron; Du, Song Ming
- Physical Review D, Vol. 96, Issue 8
Spectroscopy of Kerr Black Holes with Earth- and Space-Based Interferometers
journal, September 2016
- Berti, Emanuele; Sesana, Alberto; Barausse, Enrico
- Physical Review Letters, Vol. 117, Issue 10
Rotating black holes in Einstein-dilaton-Gauss-Bonnet gravity with finite coupling
journal, October 2015
- Maselli, Andrea; Pani, Paolo; Gualtieri, Leonardo
- Physical Review D, Vol. 92, Issue 8
Constraining neutron-star tidal Love numbers with gravitational-wave detectors
journal, January 2008
- Flanagan, Éanna É.; Hinderer, Tanja
- Physical Review D, Vol. 77, Issue 2
An effective formalism for testing extensions to General Relativity with gravitational waves
journal, September 2017
- Endlich, Solomon; Gorbenko, Victor; Huang, Junwu
- Journal of High Energy Physics, Vol. 2017, Issue 9
The Confrontation between General Relativity and Experiment
journal, June 2014
- Will, Clifford M.
- Living Reviews in Relativity, Vol. 17, Issue 1
Tests of General Relativity with GW150914
other, January 2016
- Abbott, B. P.; Allen, Bruce; Aufmuth, Peter
- College Park, MD : American Physical Society
Constraining neutron star tidal Love numbers with gravitational wave detectors
text, January 2007
- Flanagan, Eanna E.; Hinderer, Tanja
- arXiv
Relativistic tidal properties of neutron stars
text, January 2009
- Damour, Thibault; Nagar, Alessandro
- arXiv
Black hole stereotyping: Induced gravito-static polarization
text, January 2011
- Kol, Barak; Smolkin, Michael
- arXiv
Testing General Relativity with Present and Future Astrophysical Observations
text, January 2015
- Berti, Emanuele; Barausse, Enrico; Cardoso, Vitor
- arXiv
Asymptotically flat black holes with scalar hair: a review
preprint, January 2015
- Herdeiro, Carlos A. R.; Radu, Eugen
- arXiv
Rotating black holes in Einstein-Dilaton-Gauss-Bonnet gravity with finite coupling
text, January 2015
- Maselli, Andrea; Pani, Paolo; Gualtieri, Leonardo
- arXiv
Testing General Relativity with the Shadow Size of Sgr A*
text, January 2015
- Johannsen, Tim; Broderick, Avery E.; Plewa, Philipp M.
- arXiv
The Effective Field Theorist's Approach to Gravitational Dynamics
text, January 2016
- Porto, Rafael A.
- arXiv
Testing the black hole "no-hair" hypothesis
text, January 2016
- Cardoso, Vitor; Gualtieri, Leonardo
- arXiv
Echoes from the Abyss: Tentative evidence for Planck-scale structure at black hole horizons
text, January 2016
- Abedi, Jahed; Dykaar, Hannah; Afshordi, Niayesh
- arXiv
Geodesic models of quasi-periodic-oscillations as probes of quadratic gravity
text, January 2017
- Maselli, Andrea; Pani, Paolo; Cotesta, Roberto
- arXiv
A recipe for echoes from exotic compact objects
text, January 2017
- Mark, Zachary; Zimmerman, Aaron; Du, Song Ming
- arXiv
Orbital fingerprints of ultralight scalar fields around black holes
text, January 2017
- Ferreira, Miguel C.; Macedo, Caio F. B.; Cardoso, Vitor
- arXiv
The Confrontation between General Relativity and Experiment
text, January 2001
- Will, Clifford M.
- arXiv
Works referencing / citing this record:
Testing the nature of dark compact objects: a status report
journal, July 2019
- Cardoso, Vitor; Pani, Paolo
- Living Reviews in Relativity, Vol. 22, Issue 1
Stability analysis of black holes by the S -deformation method for coupled systems
journal, February 2019
- Kimura, Masashi; Tanaka, Takahiro
- Classical and Quantum Gravity, Vol. 36, Issue 5
Self-consistent description of a spherically-symmetric gravitational collapse
journal, December 2019
- Terno, Daniel R.
- Physical Review D, Vol. 100, Issue 12
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
Stability analysis of black holes by the $S$-deformation method for coupled systems
text, January 2018
- Kimura, Masashi; Tanaka, Takahiro
- arXiv
Self-consistent description of a spherically-symmetric gravitational collapse
text, January 2019
- Terno, Daniel
- arXiv
Forecasts for Low Spin Black Hole Spectroscopy in Horndeski Gravity
text, January 2019
- Tattersall, Oliver J.; Ferreira, Pedro G.
- arXiv
Testing the nature of dark compact objects: a status report
text, January 2019
- Cardoso, Vitor; Pani, Paolo
- arXiv
Parametrized black hole quasinormal ringdown. II. Coupled equations and quadratic corrections for nonrotating black holes
text, January 2019
- McManus, Ryan; Berti, Emanuele; Macedo, Caio F. B.
- arXiv
Parametrized ringdown spin expansion coefficients: a data-analysis framework for black-hole spectroscopy with multiple events
text, January 2019
- Maselli, Andrea; Pani, Paolo; Gualtieri, Leonardo
- arXiv