Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2001-11-29
Phys.Rev.D65:104021,2002
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
22 pages, 6 figures, to appear in Phys. Rev. D. Revised version, added one table and extended discussion
Scientific paper
10.1103/PhysRevD.65.104021
The effects that the structure of a neutron star would have on the gravitational emission of a binary system are studied in a perturbative regime, and in the frequency domain. Assuming that a neutron star is perturbed by a point mass moving on a close, circular orbit, we solve the equations of stellar perturbations in general relativity to evaluate the energy lost by the system in gravitational waves. We compare the energy output obtained for different stellar models with that found by assuming that the perturbed object is a black hole with the same mass, and we discuss the role played by the excitation of the stellar modes. Ouresults indicate that the stellar structure begins to affect the emitted power when the orbital velocity is v >0.2c (about 185 Hz for a binary system composed of two canonical neutron stars). We show that the differences between different stellar models and a black hole are due mainly to the excitation of the quasinormal modes of the star. Finally, we discuss to what extent and up to which distance the perturbative approach can be used to describe the interaction of a star and a pointlike massive body.
Berti Emanuele
Ferrari Valeria
Gualtieri Leonardo
Miniutti Giovanni
Pons Jose A.
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