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Testing spacetime symmetry through gravitational waves from extreme-mass-ratio inspirals

Aug 31, 2020

14 pages

Published in:

Phys.Rev.D 102 (2020) 6, 064041

Published: Sep 16, 2020

e-Print:

2009.00028 [gr-qc]

DOI:

10.1103/PhysRevD.102.064041 (publication)

View in:

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Abstract: (APS)

One of the primary aims of upcoming spaceborne gravitational wave detectors is to measure radiation in the mHz range from extreme-mass-ratio inspirals. Such a detection would place strong constraints on hypothetical departures from a Kerr description for astrophysically stable black holes. The Kerr geometry, which is unique in general relativity, admits a higher-order symmetry in the form of a Carter constant, which implies that the equations of motion describing test particle motion in a Kerr background are Liouville-integrable. In this article, we investigate whether the Carter symmetry itself is discernible from a generic deformation of the Kerr metric in the gravitational waveforms for such inspirals. We build on previous studies by constructing a new metric which respects current observational constraints, describes a black hole, and contains two non-Kerr parameters, one of which controls the presence or absence of the Carter symmetry, thereby controlling the existence of chaotic orbits, and another which serves as a generic deformation parameter. We find that these two parameters introduce fundamentally distinct features into the orbital dynamics, and evince themselves in the gravitational waveforms through a significant dephasing. Although only explored in the quadrupole approximation, this, together with a Fisher metric analysis, suggests that gravitational wave data analysis may be able to test, in addition to the governing theory of gravity, the underlying symmetries of spacetime.

Note:

14 pages, 7 figures, matches published version

General relativity, alternative theories of gravity
symmetry: space-time
metric: Kerr
black hole: stability
gravitational radiation
capture
deformation
gravitational radiation detector
general relativity
field equations: higher-order

References(82)

Figures(19)

[1]

GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 9 (2019) 3, 031040
•
e-Print:
- 1811.12907
•
DOI:
- 10.1103/PhysRevX.9.031040

[2]

Testing General Relativity with Present and Future Astrophysical Observations

Emanuele Berti
(
- Mississippi U. and
- Lisbon, CENTRA
)
,
Enrico Barausse
(
- Paris, Inst. Astrophys. and
- Paris U., VI-VII
)
,
Vitor Cardoso
(
- Lisbon, IST and
- Perimeter Inst. Theor. Phys. and
- Lisbon, CENTRA
)
,
Leonardo Gualtieri
(
- Rome U. and
- INFN, Rome
)
,
Paolo Pani
(
- Rome U. and
- INFN, Rome and
- Lisbon, IST and
- Lisbon, CENTRA
)

et al.

- Class.Quant.Grav. 32 (2015) 243001
•
e-Print:
- 1501.07274
•
DOI:
- 10.1088/0264-9381/32/24/243001

[3]

Tests of General Relativity with the Binary Black Hole Signals from the LIGO-Virgo Catalog GWTC-1

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.D 100 (2019) 10, 104036
•
e-Print:
- 1903.04467
•
DOI:
- 10.1103/PhysRevD.100.104036

[4]

Sensitivity of the Advanced LIGO detectors at the beginning of gravitational wave astronomy

Benjamin P. Abbott
(
- LIGO Lab., Caltech
)
,
Rich Abbott
(
- LIGO Lab., Caltech
)
,
Thomas D. Abbott
(
- Louisiana State U.
)
,
Carl Adams
(
- LIGO Livingston Obs.
)
,
Rana X. Adhikari
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.D 93 (2016) 11, 112004,
- Phys.Rev.D 97 (2018) 5, 059901 (addendum)
•
e-Print:
- 1604.00439
•
DOI:
- 10.1103/PhysRevD.93.112004

[5]

Laser Interferometer Space Antenna

LISA

Collaboration

•

Pau Amaro-Seoane
(
- Hannover, Max Planck Inst. Grav.
)

et al.

e-Print:
- 1702.00786

[6]

The Taiji Program in Space for gravitational wave physics and the nature of gravity

- Natl.Sci.Rev. 4 (2017) 5, 685-686
•
DOI:
- 10.1093/nsr/nwx116

[7]

Prospects for Fundamental Physics with LISA

Enrico Barausse
(
- INFN, Trieste and
- SISSA, Trieste and
- Trieste U. and
- Paris, Inst. Astrophys.
)
,
Emanuele Berti
(
- Johns Hopkins U.
)
,
Thomas Hertog
(
- Leuven U.
)
,
Scott A. Hughes
(
- MIT and
- MIT, MKI
)
,
Philippe Jetzer
(
- Zurich U.
)

et al.

- Gen.Rel.Grav. 52 (2020) 8, 81
•
e-Print:
- 2001.09793
•
DOI:
- 10.1007/s10714-020-02691-1

[8]

Astrophysics, detection and science applications of intermediate- and extreme mass-ratio inspirals

Pau Amaro-Seoane
(
- Cambridge U., Inst. of Astron.
)
,
Jonathan R. Gair
(
- Cambridge U., Inst. of Astron.
)
,
Marc Freitag
(
- Cambridge U., Inst. of Astron.
)
,
M. Coleman Miller
(
- Maryland U.
)
,
Ilya Mandel
(
- Caltech
)

et al.

- Class.Quant.Grav. 24 (2007) R113-R169
•
e-Print:
- astro-ph/0703495
•
DOI:
- 10.1088/0264-9381/24/17/R01

[9]

LISA capture sources: Approximate waveforms, signal-to-noise ratios, and parameter estimation accuracy

- Phys.Rev.D 69 (2004) 082005
•
e-Print:
- gr-qc/0310125
•
DOI:
- 10.1103/PhysRevD.69.082005

[10]

Using LISA EMRI sources to test off-Kerr deviations in the geometry of massive black holes

Leor Barack
(
- Southampton U.
)
,
Curt Cutler
(
- Caltech, JPL
)

- Phys.Rev.D 75 (2007) 042003
•
e-Print:
- gr-qc/0612029
•
DOI:
- 10.1103/PhysRevD.75.042003

[11]

Tests of General Relativity and Fundamental Physics with Space-based Gravitational Wave Detectors

Emanuele Berti
(
- Johns Hopkins U. and
- Mississippi U.
)
,
Enrico Barausse
(
- Paris, Inst. Astrophys.
)
,
Ilias Cholis
(
- Oakland U.
)
,
Juan García-Bellido
(
- Madrid, IFT and
- CERN
)
,
Kelly Holley-Bockelmann
(
- Vanderbilt U. and
- Fisk U.
)

et al.

e-Print:
- 1903.02781

[12]

Black Hole Uniqueness Theorems

M. Heusler

[13]

Uniqueness of the Kerr black hole

D.C. Robinson
(
- King's Coll. London
)

- Phys.Rev.Lett. 34 (1975) 905-906
•
DOI:
- 10.1103/PhysRevLett.34.905

[14]

Order and Chaos in Dynamical Astronomy

G. Contopoulos

[15]

Global structure of the Kerr family of gravitational fields

Brandon Carter
(
- Cambridge U., DAMTP
)

- Phys.Rev. 174 (1968) 1559-1571
•
DOI:
- 10.1103/PhysRev.174.1559

[16]

Bound Geodesics in the Kerr Metric

Daniel C. Wilkins
(
- Stanford U., ITP and
- Princeton U.
)

- Phys.Rev.D 5 (1972) 814-822
•
DOI:
- 10.1103/PhysRevD.5.814

[17]

G. 't Hooft
,
M. Veltman

- Ann.l’IHP Phys.Théor. 20 (1974) 1
•
- http://www.numdam.org/item/AIHPA_1974__20_1_69_0/

[18]

Gravitational waves from Extreme Mass Ratio Inspirals in non-pure Kerr spacetimes

Enrico Barausse
(
- SISSA, Trieste
)
,
Luciano Rezzolla
(
- Louisiana State U. and
- Jena U., TPI
)
,
David Petroff
(
- Jena U., TPI
)
,
Marcus Ansorg
(
- Potsdam, Max Planck Inst.
)

- Phys.Rev.D 75 (2007) 064026
•
e-Print:
- gr-qc/0612123
•
DOI:
- 10.1103/PhysRevD.75.064026

[19]

The Influence of the hydrodynamic drag from an accretion torus on extreme mass-ratio inspirals

Enrico Barausse
(
- SISSA, Trieste and
- INFN, Trieste
)
,
Luciano Rezzolla
(
- Potsdam, Max Planck Inst. and
- INFN, Trieste
)

- Phys.Rev.D 77 (2008) 104027
•
e-Print:
- 0711.4558
•
DOI:
- 10.1103/PhysRevD.77.104027

[20]

Free motion around black holes with discs or rings: between integrability and chaos - III

- Mon.Not.Roy.Astron.Soc. 436 (2013) 978-996
•
e-Print:
- 1308.4306
•
DOI:
- 10.1093/mnras/stt1587

[21]

Kerr Black Holes are Not Unique to General Relativity

- Phys.Rev.Lett. 100 (2008) 091101,
- Phys.Rev.Lett. 100 (2008) 119902
•
e-Print:
- 0710.4564
•
DOI:
- 10.1103/PhysRevLett.100.091101

[22]

No-hair theorem for Black Holes in Astrophysical Environments

Norman Gürlebeck

- Phys.Rev.Lett. 114 (2015) 15, 151102
•
e-Print:
- 1503.03240
•
DOI:
- 10.1103/PhysRevLett.114.151102

[23]

Astrophysics of resonant orbits in the Kerr metric

Jeandrew Brink
(
- NITheP, Matieland and
- Stellenbosch U.
)
,
Marisa Geyer
(
- Stellenbosch U. and
- Oxford U.
)
,
Tanja Hinderer
(
- Maryland U.
)

- Phys.Rev.D 91 (2015) 8, 083001
•
e-Print:
- 1501.07728
•
DOI:
- 10.1103/PhysRevD.91.083001

[24]

J. Moser

- Nachr.Akad.Wiss.Göttingen Math.Phys.Kl. II (1962) 1

[25]

V.I. Arnold

- Russ.Math.Surveys 18 (1963) 9
•
DOI:
- 10.1070/RM1963v018n05ABEH004130

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