Rotational-tidal phasing of the binary neutron star waveform - INSPIRE

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Rotational-tidal phasing of the binary neutron star waveform

Philippe Landry
(
- Chicago U., EFI and
- Chicago U., KICP
)

May 4, 2018

11 pages

e-Print:

1805.01882 [gr-qc]

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Abstract: (arXiv)

Tidal forces cause inspiralling binary neutron stars to deform, leaving a measurable imprint on the gravitational waves they emit. The induced stellar multipoles are an added source of gravitational radiation and modify the orbital dynamics, producing a slight acceleration of the coalescence which manifests as a phase shift in the waveform relative to point-particles. The dominant piece of this tidal phase comes from the mass quadrupoles, which contribute at fifth post-Newtonian order (5PN). Current quadrupoles and mass octupoles contribute at higher orders. For spinning neutron stars, additional multipole moments are induced by nonlinear couplings between spin and tides. We calculate these rotational-tidal deformations assuming the stars are rotating slowly and the tides are weak and quasi-stationary. The stellar multipole moments are read off from an asymptotically flat metric that encodes the difference between their tidal response and a black hole's. The multipoles are subsequently inserted into post-Newtonian formulas for the orbit and the gravitational radiation. We find that, at leading order, the rotational-tidal deformations make a 6.5PN contribution to the tidal phase. Their effect on the waveform is thus larger than that of the mass octupoles, and nearly as large as that of the current quadrupoles, in systems with non-negligible spin.

Note:

10 pages

neutron star: binary
coupling: nonlinear
higher-order: 0
multipole
gravitational radiation
gravitational radiation: emission
star: deformation
spin
coalescence
acceleration

References(51)

Figures(0)

[1]

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

[2]

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

[3]

GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral

LIGO Scientific and
Virgo

Collaborations

•

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

et al.

- Phys.Rev.Lett. 119 (2017) 16, 161101
•
e-Print:
- 1710.05832
•
DOI:
- 10.1103/PhysRevLett.119.161101

[4]

Reconstructing the neutron-star equation of state with gravitational-wave detectors from a realistic population of inspiralling binary neutron stars

Benjamin D. Lackey
(
- Princeton U. and
- Syracuse U.
)
,
Leslie Wade
(
- Wisconsin U., Milwaukee
)

- Phys.Rev.D 91 (2015) 4, 043002
•
e-Print:
- 1410.8866
•
DOI:
- 10.1103/PhysRevD.91.043002

[5]

Gravitational-wave constraints on the neutron-star-matter Equation of State

Eemeli Annala
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)
,
Tyler Gorda
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)
,
Aleksi Kurkela
(
- CERN and
- Stavanger U.
)
,
Aleksi Vuorinen
(
- Helsinki U. and
- Helsinki Inst. of Phys.
)

- Phys.Rev.Lett. 120 (2018) 17, 172703
•
e-Print:
- 1711.02644
•
DOI:
- 10.1103/PhysRevLett.120.172703

[6]

Measuring the neutron star tidal deformability with equation-of-state-independent relations and gravitational waves

- Phys.Rev.D 97 (2018) 10, 104036
•
e-Print:
- 1804.03221
•
DOI:
- 10.1103/PhysRevD.97.104036

[7]

GW170817: Joint Constraint on the Neutron Star Equation of State from Multimessenger Observations

David Radice
,
Albino Perego
(
- INFN, Parma and
- Milan Bicocca U. and
- Parma U.
)
,
Francesco Zappa
(
- Parma U.
)
,
Sebastiano Bernuzzi
(
- INFN, Parma and
- Parma U.
)

- Astrophys.J.Lett. 852 (2018) 2, L29
•
e-Print:
- 1711.03647
•
DOI:
- 10.3847/2041-8213/aaa402

[8]

Constraining the neutron star equation of state with gravitational wave signals from coalescing binary neutron stars

Michalis Agathos
(
- NIKHEF, Amsterdam
)
,
Jeroen Meidam
(
- NIKHEF, Amsterdam
)
,
Walter Del Pozzo
(
- Birmingham U.
)
,
Tjonnie G. F. Li
(
- LIGO Lab., Caltech
)
,
Marco Tompitak
(
- NIKHEF, Amsterdam and
- Leiden U.
)

et al.

- Phys.Rev.D 92 (2015) 2, 023012
•
e-Print:
- 1503.05405
•
DOI:
- 10.1103/PhysRevD.92.023012

[9]

Demonstrating the feasibility of probing the neutron star equation of state with second-generation gravitational wave detectors

Walter Del Pozzo
(
- NIKHEF, Amsterdam
)
,
Tjonnie G. F. Li
(
- NIKHEF, Amsterdam
)
,
Michalis Agathos
(
- NIKHEF, Amsterdam
)
,
Chris Van Den Broeck
(
- NIKHEF, Amsterdam
)
,
Salvatore Vitale
(
- MIT, MKI
)

- Phys.Rev.Lett. 111 (2013) 7, 071101
•
e-Print:
- 1307.8338
•
DOI:
- 10.1103/PhysRevLett.111.071101

[10]

Neutron star equation of state via gravitational wave observations

C. Markakis
,
J.S. Read
,
M. Shibata

[11]

Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral

Tanja Hinderer
(
- Caltech
)
,
Benjamin D. Lackey
(
- Wisconsin U., Milwaukee
)
,
Ryan N. Lang
(
- MIT and
- NASA, Goddard
)
,
Jocelyn S. Read
(
- Potsdam, Max Planck Inst.
)

- Phys.Rev.D 81 (2010) 123016
•
e-Print:
- 0911.3535
•
DOI:
- 10.1103/PhysRevD.81.123016

[12]

Constraining the equation of state of nuclear matter with gravitational wave observations: Tidal deformability and tidal disruption

Andrea Maselli
(
- INFN, Rome and
- Rome U.
)
,
Leonardo Gualtieri
(
- INFN, Rome and
- Rome U.
)
,
Valeria Ferrari
(
- INFN, Rome and
- Rome U.
)

- Phys.Rev.D 88 (2013) 10, 104040
•
e-Print:
- 1310.5381
•
DOI:
- 10.1103/PhysRevD.88.104040

[13]

Tidal deformability from GW170817 as a direct probe of the neutron star radius

- Astrophys.J.Lett. 857 (2018) 2, L23
•
e-Print:
- 1803.07687
•
DOI:
- 10.3847/2041-8213/aabcbf

[14]

Observing and measuring the neutron-star equation-of-state in spinning binary neutron star systems

- Class.Quant.Grav. 35 (2018) 14, 145010
•
e-Print:
- 1801.09972
•
DOI:
- 10.1088/1361-6382/aac7e3

[15]

New constraints on radii and tidal deformabilities of neutron stars from GW170817

Elias R. Most
(
- Frankfurt U.
)
,
Lukas R. Weih
(
- Frankfurt U.
)
,
Luciano Rezzolla
(
- Frankfurt U. and
- Frankfurt U., FIAS
)
,
Jürgen Schaffner-Bielich
(
- Frankfurt U.
)

- Phys.Rev.Lett. 120 (2018) 26, 261103
•
e-Print:
- 1803.00549
•
DOI:
- 10.1103/PhysRevLett.120.261103

[16]

Parameter estimation for compact binaries with ground-based gravitational-wave observations using the LALInference software library

J. Veitch
(
- Birmingham U. and
- NIKHEF, Amsterdam
)
,
V. Raymond
(
- LIGO Lab., Caltech
)
,
B. Farr
(
- Chicago U., EFI and
- Northwestern U.
)
,
W. Farr
(
- Birmingham U.
)
,
P. Graff
(
- NASA, Goddard
)

et al.

- Phys.Rev.D 91 (2015) 4, 042003
•
e-Print:
- 1409.7215
•
DOI:
- 10.1103/PhysRevD.91.042003

[17]

Choice of filters for the detection of gravitational waves from coalescing binaries. 2. Detection in colored noise

S.V. Dhurandhar
(
- IUCAA, Pune
)
,
B.S. Sathyaprakash
(
- ICTP, Trieste
)

- Phys.Rev.D 49 (1994) 1707-1722
•
DOI:
- 10.1103/PhysRevD.49.1707

[18]

Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors

Alessandra Buonanno
(
- Maryland U.
)
,
Bala Iyer
(
- Raman Research Inst., Bangalore and
- Cardiff U.
)
,
Evan Ochsner
(
- Maryland U.
)
,
Yi Pan
(
- Maryland U.
)
,
B.S. Sathyaprakash
(
- Cardiff U.
)

- Phys.Rev.D 80 (2009) 084043
•
e-Print:
- 0907.0700
•
DOI:
- 10.1103/PhysRevD.80.084043

[19]

Higher-order spin effects in the amplitude and phase of gravitational waveforms emitted by inspiraling compact binaries: Ready-to-use gravitational waveforms

K.G. Arun
(
- Paris, Inst. Astrophys. and
- Orsay, LAL
)
,
Alessandra Buonanno
(
- Maryland U.
)
,
Guillaume Faye
(
- Paris, Inst. Astrophys.
)
,
Evan Ochsner
(
- Maryland U.
)

- Phys.Rev.D 79 (2009) 104023,
- Phys.Rev.D 84 (2011) 049901 (erratum)
•
e-Print:
- 0810.5336
•
DOI:
- 10.1103/PhysRevD.79.104023

[20]

Gravitational Radiation from PostNewtonian Sources and Inspiralling Compact Binaries

- Living Rev.Rel. 17 (2014) 10

[21]

Constraining neutron star tidal Love numbers with gravitational wave detectors

- Phys.Rev.D 77 (2008) 021502
•
e-Print:
- 0709.1915
•
DOI:
- 10.1103/PhysRevD.77.021502

[22]

Systematic parameter errors in inspiraling neutron star binaries

Marc Favata

- Phys.Rev.Lett. 112 (2014) 101101
•
e-Print:
- 1310.8288
•
DOI:
- 10.1103/PhysRevLett.112.101101

[23]

Systematic and statistical errors in a bayesian approach to the estimation of the neutron-star equation of state using advanced gravitational wave detectors

Leslie Wade
(
- Wisconsin U., Milwaukee
)
,
Jolien D.E. Creighton
(
- Wisconsin U., Milwaukee
)
,
Evan Ochsner
(
- Wisconsin U., Milwaukee
)
,
Benjamin D. Lackey
(
- Princeton U.
)
,
Benjamin F. Farr
(
- Northwestern U.
)

et al.

- Phys.Rev.D 89 (2014) 10, 103012
•
e-Print:
- 1402.5156
•
DOI:
- 10.1103/PhysRevD.89.103012

[24]

Relativistic tidal properties of neutron stars

Thibault Damour
(
- IHES, Bures-sur-Yvette and
- ICRA, Pescara
)
,
Alessandro Nagar
(
- IHES, Bures-sur-Yvette and
- ICRA, Pescara
)

- Phys.Rev.D 80 (2009) 084035
•
e-Print:
- 0906.0096
•
DOI:
- 10.1103/PhysRevD.80.084035

[25]

Relativistic theory of tidal Love numbers

Taylor Binnington
(
- Guelph U.
)
,
Eric Poisson
(
- Guelph U. and
- Canadian Inst. Theor. Astrophys.
)

- Phys.Rev.D 80 (2009) 084018
•
e-Print:
- 0906.1366
•
DOI:
- 10.1103/PhysRevD.80.084018

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