Approach to computing spectral shifts for black holes beyond Kerr

Hussain, Asad; Zimmerman, Aaron

doi:10.1103/PhysRevD.106.104018

Approach to computing spectral shifts for black holes beyond Kerr

Jun 21, 2022

23 pages

Published in:

Phys.Rev.D 106 (2022) 10, 104018

Published: Nov 9, 2022

e-Print:

2206.10653 [gr-qc]

DOI:

10.1103/PhysRevD.106.104018 (publication)

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Abstract: (APS)

Recent measurements of gravitational-wave ringdown following the merger of binary black holes raise the prospect of precision black hole spectroscopy in the near future. To perform the most sensitive tests of the nature of black holes using ringdown measurements, it is critical to compute the deviations to the spectrum of black holes in particular extensions of relativity. These spectral shifts are also needed to interpret any violations of the predictions of relativity that may be detected during ringdown. Here we present a first step towards computing the shifts to the spectrum of Kerr black holes with arbitrary spins, by deriving a modified Teukolsky equation governing the perturbations of black holes in theories beyond general relativity. Our approach applies to a class of theories which includes dynamical Chern-Simons gravity and shift-symmetric scalar Gauss-Bonnet gravity, in the case where the deviations from relativity are small. This allows for a perturbative approach to solving the equations of motion. Further, we show how to use the modified equation to compute the leading-order spectral shifts of Kerr black holes, using eigenvalue perturbation methods. Our formalism provides a practical approach to predicting ringdown for black holes in a range of promising extensions to relativity, enabling future precision searches for their signatures in black hole ringdown.

Note:

23 pages, 1 figure

black hole: Kerr
black hole: spectrum
black hole: binary: coalescence
black hole: perturbation
higher-order: 0
relativity theory
spectral
gravitation: model
gravitational radiation
field equations

References(116)

Figures(1)

[1]

Observation of Gravitational Waves from a Binary Black Hole Merger

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 6, 061102
•
e-Print:
- 1602.03837
•
DOI:
- 10.1103/PhysRevLett.116.061102

[2]

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

[3]

GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run

LIGO Scientific and
Virgo

Collaborations

•

R. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 11 (2021) 021053
•
e-Print:
- 2010.14527
•
DOI:
- 10.1103/PhysRevX.11.021053

[4]

GWTC-2.1: Deep extended catalog of compact binary coalescences observed by LIGO and Virgo during the first half of the third observing run

LIGO Scientific and
VIRGO

Collaborations

•

R. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.D 109 (2024) 2, 022001
•
e-Print:
- 2108.01045
•
DOI:
- 10.1103/PhysRevD.109.022001

[5]

GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo during the Second Part of the Third Observing Run

Collaborations

•

R. Abbott
(
- LIGO Lab., Caltech
)

et al.

- Phys.Rev.X 13 (2023) 4, 041039,
- Phys. Rev. X; 13(4):041039; 2023
•
e-Print:
- 2111.03606
•
DOI:
- 10.1103/PhysRevX.13.041039

[6]

1-OGC: The first open gravitational-wave catalog of binary mergers from analysis of public Advanced LIGO data

et al.

- Astrophys.J. 872 (2019) 2, 195
•
e-Print:
- 1811.01921
•
DOI:
- 10.3847/1538-4357/ab0108

[7]

2-OGC: Open Gravitational-wave Catalog of binary mergers from analysis of public Advanced LIGO and Virgo data

et al.

- Astrophys.J. 891 123
•
e-Print:
- 1910.05331
•
DOI:
- 10.3847/1538-4357/ab733f

[8]

3-OGC: Catalog of Gravitational Waves from Compact-binary Mergers

et al.

- Astrophys.J. 922 (2021) 1, 76
•
e-Print:
- 2105.09151
•
DOI:
- 10.3847/1538-4357/ac1c03

[9]

4-OGC: Catalog of Gravitational Waves from Compact Binary Mergers

Alexander H. Nitz
(
- Hannover, Max Planck Inst. Grav. and
- Leibniz U., Hannover
)
,
Sumit Kumar
(
- Hannover, Max Planck Inst. Grav. and
- Leibniz U., Hannover
)
,
Yi-Fan Wang
(
- Hannover, Max Planck Inst. Grav. and
- Leibniz U., Hannover
)
,
Shilpa Kastha
(
- Hannover, Max Planck Inst. Grav. and
- Leibniz U., Hannover
)
,
Shichao Wu
(
- Hannover, Max Planck Inst. Grav. and
- Leibniz U., Hannover
)

et al.

- Astrophys.J. 946 (2023) 2, 59
•
e-Print:
- 2112.06878
•
DOI:
- 10.3847/1538-4357/aca591

[10]

Highly spinning and aligned binary black hole merger in the Advanced LIGO first observing run

- Phys.Rev.D 100 (2019) 2, 023007
•
e-Print:
- 1902.10331
•
DOI:
- 10.1103/PhysRevD.100.023007

[11]

New search pipeline for compact binary mergers: Results for binary black holes in the first observing run of Advanced LIGO

- Phys.Rev.D 100 (2019) 2, 023011
•
e-Print:
- 1902.10341
•
DOI:
- 10.1103/PhysRevD.100.023011

[12]

New binary black hole mergers in the second observing run of Advanced LIGO and Advanced Virgo

- Phys.Rev.D 101 (2020) 8, 083030
•
e-Print:
- 1904.07214
•
DOI:
- 10.1103/PhysRevD.101.083030

[13]

Detecting gravitational waves with disparate detector responses: Two new binary black hole mergers

- Phys.Rev.D 104 (2021) 6, 063030
•
e-Print:
- 1910.09528
•
DOI:
- 10.1103/PhysRevD.104.063030

[14]

New binary black hole mergers in the LIGO-Virgo O3a data

Seth Olsen
(
- Princeton U.
)
,
Tejaswi Venumadhav
(
- UC, Santa Barbara and
- Tata Inst.
)
,
Jonathan Mushkin
(
- Weizmann Inst.
)
,
Javier Roulet
(
- UC, Santa Barbara
)
,
Barak Zackay
(
- Weizmann Inst.
)

et al.

- Phys.Rev.D 106 (2022) 4, 043009
•
e-Print:
- 2201.02252
•
DOI:
- 10.1103/PhysRevD.106.043009

[15]

Advanced LIGO

LIGO Scientific

Collaboration

•

J. Aasi
(
- Caltech
)

et al.

- Class.Quant.Grav. 32 (2015) 074001
•
e-Print:
- 1411.4547
•
DOI:
- 10.1088/0264-9381/32/7/074001

[16]

Advanced Virgo: a second-generation interferometric gravitational wave detector

VIRGO

Collaboration

•

F. Acernese
(
- Salerno U. and
- INFN, Naples
)

et al.

- Class.Quant.Grav. 32 (2015) 2, 024001
•
e-Print:
- 1408.3978
•
DOI:
- 10.1088/0264-9381/32/2/024001

[17]

Tests of general relativity with GW150914

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 22, 221101,
- Phys.Rev.Lett. 121 (2018) 12, 129902 (erratum)
•
e-Print:
- 1602.03841
•
DOI:
- 10.1103/PhysRevLett.116.221101

[17]

Tests of general relativity with GW150914

LIGO Scientific and
Virgo

Collaborations

•

B.P. Abbott
(
- Caltech
)

et al.

- Phys.Rev.Lett. 116 (2016) 22, 221101,
- Phys.Rev.Lett. 121 (2018) 12, 129902 (erratum)
•
e-Print:
- 1602.03841
•
DOI:
- 10.1103/PhysRevLett.116.221101