Speaker
Description
We apply the point particle EFT approach to a compact star to systematically compute dynamical tidal love numbers for various non-rotating compact objects. We calculate the scattering amplitude in Black Hole Perturbation Theory(BPHT) for arbitrary non-rotating compact stars using the Mano-Suzuki-Takasugi(MST) method with non zero surface reflectivity and match it with that obtained from point particle EFT order by order in the low frequency expansion. This sets up a systematic framework for extracting the static and dynamical tidal love numbers(TLNs) to any order in the multipole expansion. We employ this technique to compute the Next-to-Next-to Leading Order TLN for non-viscous Neutron stars and Neutron stars admixed with Bosonic or Fermionic dark matter.
| Other topic / keywords: | Tidal Love numbers, Neutron star, Dark matter admixed neutron star, EFT |
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