# Gravitational waves from neutron star excitations in binary inspirals

## TL;DR

This paper explores how neutron star oscillations, excited by tidal forces during binary inspirals with black holes, influence gravitational wave signals, using analytic models and recent nuclear physics data.

## Contribution

It provides analytic expressions for energy and angular momentum transfer and models neutron star oscillations with modern nuclear equations of state.

## Key findings

- Tidal forces can excite neutron star f-modes during inspiral.
- Oscillations leave detectable imprints on gravitational waves.
- Analytic formulas quantify energy transfer to neutron star modes.

## Abstract

In the context of binary inspiral of mixed neutron star - black hole systems, we investigate the excitation of the neutron star oscillation modes by the orbital motion. We study generic eccentric orbits and show that tidal interaction can excite the f-mode oscillations of the star by computing the amount of energy and angular momentum deposited into the star by the orbital motion tidal forces via closed form analytic expressions. We study the f-mode oscillations of cold neutron stars using recent microscopic nuclear equations of state, and we compute their imprint into the emitted gravitational waves.