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arXiv · 0906.5530

Relativistic orbits and Gravitational Waves from gravitomagnetic corrections

Salvatore Capozziello·Mariafelicia De Laurentis·Luca Forte·Fabio Garufi·Leopoldo Milano
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Abstract

Corrections to the relativistic theory of orbits are discussed considering higher order approximations induced by gravitomagnetic effects. Beside the standard periastron effect of General Relativity (GR), a new nutation effect was found due to the ${\displaystyle c^{-3}}$ orbital correction. According to the presence of that new nutation effect we studied the gravitational waveforms emitted through the capture in a gravitational field of a massive black hole (MBH) of a compact object (neutron star (NS) or BH) via the quadrupole approximation. We made a numerical study to obtain the emitted gravitational wave (GW) amplitudes. We conclude that the effects we studied could be of interest for the future space laser interferometric GW antenna LISA.

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Salvatore Capozziello, Mariafelicia De Laurentis, Luca Forte, Fabio Garufi, Leopoldo Milano. 2009-06-30. Relativistic orbits and Gravitational Waves from gravitomagnetic corrections. https://doi.org/10.1088/1742-6596%2F228%2F1%2F012052

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