On exotic objects made of dark energy and dark matter: Mass-to-radius profiles and tidal Love numbers

Abstract

We investigate some properties of exotic spherical configurations made of dark matter and dark energy. For the former we adopt a polytropic equation-of-state, while for the latter we adopt the Extended Chaplygin gas equation-of-state. Solving the Tolman-Oppenheimer-Volkoff equations, within the 2-fluid formalism, we compute the factor of compactness, the mass-to-radius relationships, as well as the tidal Love numbers and dimensionless deformabilities. A comparison between single fluid objects and 2-fluid configurations is made as well.