Built on

É. É. Flanagan and T. Hinderer, “Constraining neutron-star tidal Love numbers with gravitational-wave detectors,” Phys. Rev. D 77
Original
1915
Earlier work this paper cites.
R. Geroch, “Multipole Moments. II. Curved Space,” Journal of Mathematical Physics
1970
Earlier work this paper cites.
R. O. Hansen, “Multipole moments of stationary space-times,” Journal of Mathematical Physics
1974
Earlier work this paper cites.
K. S. Thorne, “Multipole expansions of gravitational radiation,” Reviews of Modern Physics
1980
Earlier work this paper cites.
R. Beig and W. Simon, “Proof of a multipole conjecture due to Geroch,” Communications in Mathematical Physics
1980
Earlier work this paper cites.
Amsterdam, North-Holland Publishing Co., 1983
T. Damour in Gravitational Radiation · 1983
Earlier work this paper cites.
Y. Gürsel, “Multipole moments for stationary systems: The equivalence of the Geroch-Hansen formulation and the Thorne formulation,” General Relativity and Gravitation
1983
Earlier work this paper cites.
K. S. Thorne and J. B. Hartle, “Laws of motion and precession for black holes and other bodies,” Phys. Rev. D 31
1985
Earlier work this paper cites.
X.-H. Zhang, “Multipole expansions of the general-relativistic gravitational field of the external universe,” Phys. Rev. D 34
1986
Earlier work this paper cites.
A. Akmal, V. R. Pandharipande, and D. G. Ravenhall, “Equation of state of nucleon matter and neutron star structure,” Phys. Rev. C
1998
Earlier work this paper cites.
H. Fang and G. Lovelace, “Tidal coupling of a Schwarzschild black hole and circularly orbiting moon,” Phys. Rev. D 72
2005
Earlier work this paper cites.
S. Detweiler, “Perspective on gravitational self-force analyses,” Classical and Quantum Gravity
2005
Earlier work this paper cites.
T. Hinderer, “Tidal Love Numbers of Neutron Stars,” ApJ 677
Original
2008
Earlier work this paper cites.

Similar

S. E. Gralla and R. M. Wald, “A rigorous derivation of gravitational self-force,” Classical and Quantum Gravity
Original
2008
Cited alongside, same era.
T. Damour and A. Nagar, “Relativistic tidal properties of neutron stars,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
T. Binnington and E. Poisson, “Relativistic theory of tidal Love numbers,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
A. Pound, “Self-consistent gravitational self-force,” Phys. Rev. D 81
Original
2010
Cited alongside, same era.
T. Hinderer, B. D. Lackey, R. N. Lang, and J. S. Read, “Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral,” Phys. Rev. D 81

Then

S. Bernuzzi, A. Nagar, T. Dietrich, and T. Damour, “Modeling the dynamics of tidally interacting binary neutron stars up to the merger,” Phys. Rev. Lett
2015
Later among the works it cites.
B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, and et al., “Observation of Gravitational Waves from a Binary Black Hole Merger,” Physical Review Letters
Original
2016
Later among the works it cites.
B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, and et al., “GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence,” Physical Review Letters
Original
2016
Later among the works it cites.
R. A. Porto, “The tune of love and the nature(ness) of spacetime,” Fortschritte der Physik
Original
2016
Later among the works it cites.

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2017

On the Ambiguity in Relativistic Tidal Deformability

Gralla, Samuel E.

Understand

The LIGO collaboration recently reported the first gravitational-wave constraints on the tidal deformability of neutron stars.

I discuss an inherent ambiguity in the notion of relativistic tidal deformability that, while too small to affect the present measurement, may become important in the future.
I propose a new way to understand the ambiguity and discuss future prospects for reliably linking observed gravitational waveforms to compact object microphysics.

Built on

É. É. Flanagan and T. Hinderer, “Constraining neutron-star tidal Love numbers with gravitational-wave detectors,” Phys. Rev. D 77
Original
1915
Earlier work this paper cites.
R. Geroch, “Multipole Moments. II. Curved Space,” Journal of Mathematical Physics
1970
Earlier work this paper cites.
R. O. Hansen, “Multipole moments of stationary space-times,” Journal of Mathematical Physics
1974
Earlier work this paper cites.
K. S. Thorne, “Multipole expansions of gravitational radiation,” Reviews of Modern Physics
1980
Earlier work this paper cites.
R. Beig and W. Simon, “Proof of a multipole conjecture due to Geroch,” Communications in Mathematical Physics
1980
Earlier work this paper cites.
Amsterdam, North-Holland Publishing Co., 1983
T. Damour in Gravitational Radiation · 1983
Earlier work this paper cites.
Y. Gürsel, “Multipole moments for stationary systems: The equivalence of the Geroch-Hansen formulation and the Thorne formulation,” General Relativity and Gravitation
1983
Earlier work this paper cites.
K. S. Thorne and J. B. Hartle, “Laws of motion and precession for black holes and other bodies,” Phys. Rev. D 31
1985
Earlier work this paper cites.
X.-H. Zhang, “Multipole expansions of the general-relativistic gravitational field of the external universe,” Phys. Rev. D 34
1986
Earlier work this paper cites.
A. Akmal, V. R. Pandharipande, and D. G. Ravenhall, “Equation of state of nucleon matter and neutron star structure,” Phys. Rev. C
1998
Earlier work this paper cites.
H. Fang and G. Lovelace, “Tidal coupling of a Schwarzschild black hole and circularly orbiting moon,” Phys. Rev. D 72
2005
Earlier work this paper cites.
S. Detweiler, “Perspective on gravitational self-force analyses,” Classical and Quantum Gravity
2005
Earlier work this paper cites.
T. Hinderer, “Tidal Love Numbers of Neutron Stars,” ApJ 677
Original
2008
Earlier work this paper cites.

Similar

S. E. Gralla and R. M. Wald, “A rigorous derivation of gravitational self-force,” Classical and Quantum Gravity
Original
2008
Cited alongside, same era.
T. Damour and A. Nagar, “Relativistic tidal properties of neutron stars,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
T. Binnington and E. Poisson, “Relativistic theory of tidal Love numbers,” Phys. Rev. D 80
Original
2009
Cited alongside, same era.
A. Pound, “Self-consistent gravitational self-force,” Phys. Rev. D 81
Original
2010
Cited alongside, same era.
T. Hinderer, B. D. Lackey, R. N. Lang, and J. S. Read, “Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral,” Phys. Rev. D 81

Then

S. Bernuzzi, A. Nagar, T. Dietrich, and T. Damour, “Modeling the dynamics of tidally interacting binary neutron stars up to the merger,” Phys. Rev. Lett
2015
Later among the works it cites.
B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, and et al., “Observation of Gravitational Waves from a Binary Black Hole Merger,” Physical Review Letters
Original
2016
Later among the works it cites.
B. P. Abbott, R. Abbott, T. D. Abbott, M. R. Abernathy, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, and et al., “GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence,” Physical Review Letters
Original
2016
Later among the works it cites.
R. A. Porto, “The tune of love and the nature(ness) of spacetime,” Fortschritte der Physik
Original
2016
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Original

2010

Cited alongside, same era.

S. E. Field, J. S. Hesthaven, and S. R. Lau, “Persistent junk solutions in time-domain modeling of extreme mass ratio binaries,” Phys. Rev. D 81

Original

2010

Cited alongside, same era.

B. Kol and M. Smolkin, “Black hole stereotyping: induced gravito-static polarization,” Journal of High Energy Physics

Original

2012

Cited alongside, same era.

K. Yagi and N. Yunes, “Love number can be hard to measure,” Phys. Rev. D 89

Original

2014

Cited alongside, same era.

M. Favata, “Systematic Parameter Errors in Inspiraling Neutron Star Binaries,” Physical Review Letters

Original

2014

Cited alongside, same era.

P. Landry and E. Poisson, “Tidal deformation of a slowly rotating material body: External metric,” Phys. Rev. D 91

Original

2015

Cited alongside, same era.

P. Pani, L. Gualtieri, A. Maselli, and V. Ferrari, “Tidal deformations of a spinning compact object,” Phys. Rev. D 92

Original

2015

Cited alongside, same era.

P. Pani, L. Gualtieri, and V. Ferrari, “Tidal Love numbers of a slowly spinning neutron star,” Phys. Rev. D 92

Original

2015

Cited alongside, same era.

K. Barkett, M. A. Scheel, R. Haas, C. D. Ott, S. Bernuzzi, D. A. Brown, B. Szilágyi, J. D. Kaplan, J. Lippuner, C. D. Muhlberger, F. Foucart, and M. D. Duez, “Gravitational waveforms for neutron star binaries from binary black hole simulations,” Phys. Rev. D 93

Original

2016

Later among the works it cites.

T. Hinderer, A. Taracchini, F. Foucart, A. Buonanno, J. Steinhoff, M. Duez, L. E. Kidder, H. P. Pfeiffer, M. A. Scheel, B. Szilagyi, K. Hotokezaka, K. Kyutoku, M. Shibata, and C. W. Carpenter, “Effects of neutron-star dynamic tides on gravitational waveforms within the effective-one-body approach,” Phys. Rev. Lett

2016

Later among the works it cites.

B. P. Abbott, R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, V. B. Adya, and et al., “GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence,” Physical Review Letters

2017

Closest in time.

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Original

2017

Closest in time.

B. P. Abbott, R. Abbott, T. D. Abbott, F. Acernese, K. Ackley, C. Adams, T. Adams, P. Addesso, R. X. Adhikari, V. B. Adya, and et al., “GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral,” Physical Review Letters

2017

Closest in time.

P. Landry, “Tidal deformation of a slowly rotating material body: Interior metric and Love numbers,” Phys. Rev. D 95

Original

2017

Closest in time.

T. Dietrich, S. Bernuzzi, and W. Tichy, “Closed-form tidal approximants for binary neutron star gravitational waveforms constructed from high-resolution numerical relativity simulations,” Phys. Rev. D 96

Original

2017

Closest in time.

B. D. Lackey, S. Bernuzzi, C. R. Galley, J. Meidam, and C. Van Den Broeck, “Effective-one-body waveforms for binary neutron stars using surrogate models,” Phys. Rev. D

2017

Closest in time.