Built on

E. E. Flanagan and T. Hinderer, Constraining neutron star tidal Love numbers with gravitational wave detectors
Original
1915
Earlier work this paper cites.
K. S. Thorne, Non-radial pulsation of general relativistic stellar models. III. Analytic and numerical results for neutron stars
1969
Earlier work this paper cites.
S. Chandrasekhar, Solutions of two problems in the theory of gravitational radiation
1970
Earlier work this paper cites.
A. Campolattaro and K. S. Thorne, Non-radial pulsation of general relativistic stellar models. V. Analytical analysis for l = 1 l=1
1970
Earlier work this paper cites.
J. L. Friedman and B. F. Schutz, Secular instability of rotating Newtonian stars
1978
Earlier work this paper cites.
N. Andersson, A new class of unstable modes of rotating relativistic rtars
1998
Earlier work this paper cites.
K. H. Lockitch, N. Andersson, and J. L. Friedman, Rotational modes of relativistic stars: Analytic results
2000
Earlier work this paper cites.
K. H. Lockitch, J. L. Friedman, and N. Andersson, Rotational modes of relativistic stars: Numerical results
2003
Earlier work this paper cites.
M. Favata, Are neutron stars crushed? Gravitomagnetic tidal fields as a mechanism for binary-induced collapse
2006
Earlier work this paper cites.
T. Hinderer, Tidal Love numbers of neutron stars
Original
2009
Earlier work this paper cites.
T. Damour and A. Nagar, Relativistic tidal properties of neutron stars
Original
2009
Earlier work this paper cites.
T. Binnington and E. Poisson, Relativistic theory of tidal Love numbers
Original
2009
Earlier work this paper cites.
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
Original
2010
Earlier work this paper cites.
L. Baiotti, T. Damour, B. Giacomazzo, A. Nagar, and L. Rezzolla, Analytic modeling of tidal effects in the relativistic inspiral of binary neutron stars
Original
2010
Earlier work this paper cites.
L. Baiotti, T. Damour, B. Giacomazzo, A. Nagar, and L. Rezzolla, Accurate numerical simulations of inspiralling binary neutron stars and their comparison with effective-one-body analytical models
Original
2011
Earlier work this paper cites.

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2015

Dynamical response to a stationary tidal field

Landry, Philippe, Poisson, Eric

Understand

We demonstrate that a slowly rotating compact body subjected to a stationary tidal field undergoes a dynamical response, in which the fluid variables and the interior metric vary on the time scale of the rotation period.

This dynamical response requires the tidal field to have a gravitomagnetic component generated by external mass currents; the response to a gravitoelectric tidal field is stationary.
We confirm that in a calculation carried out to first order in the body's rotation, the exterior geometry bears no trace of this internal dynamics; it remains stationary in spite of the time-dependent interior.

Built on

E. E. Flanagan and T. Hinderer, Constraining neutron star tidal Love numbers with gravitational wave detectors
Original
1915
Earlier work this paper cites.
K. S. Thorne, Non-radial pulsation of general relativistic stellar models. III. Analytic and numerical results for neutron stars
1969
Earlier work this paper cites.
S. Chandrasekhar, Solutions of two problems in the theory of gravitational radiation
1970
Earlier work this paper cites.
A. Campolattaro and K. S. Thorne, Non-radial pulsation of general relativistic stellar models. V. Analytical analysis for l = 1 l=1
1970
Earlier work this paper cites.
J. L. Friedman and B. F. Schutz, Secular instability of rotating Newtonian stars
1978
Earlier work this paper cites.
N. Andersson, A new class of unstable modes of rotating relativistic rtars
1998
Earlier work this paper cites.
K. H. Lockitch, N. Andersson, and J. L. Friedman, Rotational modes of relativistic stars: Analytic results
2000
Earlier work this paper cites.
K. H. Lockitch, J. L. Friedman, and N. Andersson, Rotational modes of relativistic stars: Numerical results
2003
Earlier work this paper cites.
M. Favata, Are neutron stars crushed? Gravitomagnetic tidal fields as a mechanism for binary-induced collapse
2006
Earlier work this paper cites.
T. Hinderer, Tidal Love numbers of neutron stars
Original
2009
Earlier work this paper cites.
T. Damour and A. Nagar, Relativistic tidal properties of neutron stars
Original
2009
Earlier work this paper cites.
T. Binnington and E. Poisson, Relativistic theory of tidal Love numbers
Original
2009
Earlier work this paper cites.
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
Original
2010
Earlier work this paper cites.
L. Baiotti, T. Damour, B. Giacomazzo, A. Nagar, and L. Rezzolla, Analytic modeling of tidal effects in the relativistic inspiral of binary neutron stars
Original
2010
Earlier work this paper cites.
L. Baiotti, T. Damour, B. Giacomazzo, A. Nagar, and L. Rezzolla, Accurate numerical simulations of inspiralling binary neutron stars and their comparison with effective-one-body analytical models
Original
2011
Earlier work this paper cites.