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Relativistic and Dynamical Love Numbers.

Abhishek Hegade K R1, K J Kwon2, Tejaswi Venumadhav2,3

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Summary
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Gravitational waves from binary neutron stars are impacted by tidal forces. This study develops a relativistic model for these dynamical tides, improving future gravitational-wave data analysis.

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Area of Science:

  • Astrophysics
  • General Relativity
  • Gravitational Wave Astronomy

Background:

  • Binary neutron star inspirals generate gravitational waves.
  • Tidal deformation significantly affects these waves during the late inspiral phase.

Purpose of the Study:

  • To investigate tidal dynamics in binary neutron stars within the framework of general relativity.
  • To develop a relativistic model for dynamical tides to enhance gravitational-wave parameter estimation.

Main Methods:

  • Utilizing matched-asymptotic expansions to study tidal dynamics.
  • Expanding the dynamical tidal response into a set of modes.
  • Deriving an effective, forced harmonic oscillator equation for mode amplitudes.

Main Results:

  • The dynamical tidal response of binary neutron stars can be systematically expanded in modes.
  • Mode amplitudes follow a generalized harmonic oscillator equation, extending Newtonian formulations.
  • A relativistic treatment of dynamical tides is established.

Conclusions:

  • The developed relativistic model for dynamical tides will mitigate systematic biases in gravitational-wave parameter estimation.
  • The framework can be extended to include nonlinear tidal interactions and exotic field interactions.