# Properties of rapidly rotating hot neutron stars with antikaon condensates at constant entropy per baryon

## TL;DR

This paper investigates how rotation affects the structure, mass, shape, and temperature profile of hot neutron stars containing antikaon condensates, and estimates gravitational wave emission under high magnetic fields.

## Contribution

It provides new insights into the impact of rotation and thermodynamic conditions on hot neutron stars with antikaon condensates, including their mass profiles and gravitational wave estimates.

## Key findings

- Rotation alters the mass and shape of hot neutron stars.
- Temperature profiles vary with entropy and composition.
- Estimated gravitational wave amplitudes for highly magnetized rotating neutron stars.

## Abstract

We consider a neutrino-free hot neutron star that contains antikaon condensates in its core and is at finite entropy per baryon. We find the equation of state for a range of entropies and antikaon optical potentials and generate the mass profile of static as well as rotating stars. Rotation induces many changes in the stellar equilibrium, and hence its structural properties evolve. In this work, we report the effect of rotation on the mass and shape of a hot neutron star for different equations of state and thermodynamic conditions. Temperature profile of hot, static neutron star is also explored. We also make a crude estimate of the amplitude of gravitational waves emitted by an axisymmetric rotating NS with high magnetic field.