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SPECIAL ISSUE — Selected Papers of III Amazonian Symposium on Physics; Guest Editors: Carlos A. R. Herdeiro, Emanuele Berti, Vitor Cardoso, Luis C. B. Crispino, Leonardo Gualtieri and Ulrich SperhakeNo Access

Recent developments in the tidal deformability of spinning compact objects

    https://doi.org/10.1142/S0218271816410017Cited by:0 (Source: Crossref)

    We review recent work on the theory of tidal deformability and the tidal Love numbers of a slowly spinning compact object within general relativity. Angular momentum introduces couplings between distortions of different parity and new classes of spin-induced, tidal Love numbers emerge. Due to spin-tidal effects, a rotating object immersed in a quadrupolar, electric tidal field can acquire some induced mass, spin, quadrupole, octupole and hexadecapole moments to second-order in the spin. The tidal Love numbers depend strongly on the object’s internal structure. All tidal Love numbers of a Kerr black hole (BH) were proved to be exactly zero to first-order in the spin and also to second-order in the spin, at least in the axisymmetric case. For a binary system close to the merger, various components of the tidal field become relevant. Preliminary results suggest that spin-tidal couplings can introduce important corrections to the gravitational waveforms of spinning neutron star (NS) binaries approaching the merger.

    PACS: 04.20.−q, 04.25.−g, 04.30.−w, 04.70.Bw

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