Tidal Love Numbers of Black Holes and Neutron Stars in the Presence of Higher Dimensions: Implications of GW170817

Understand

We calculate the tidal Love numbers of black holes and neutron stars in the presence of higher dimensions.

• The perturbation equations around an arbitrary static and spherically symmetric metric for the even parity modes are presented in the context of an effective four-dimensional theory on the brane.
• This subsequently leads to the sought expression for the tidal Love number for black holes in the presence of extra spatial dimensions.
• Surprisingly, these numbers are non-zero and, more importantly, negative.