Static and rotating white dwarfs at finite temperatures

TL;DR

This paper investigates static and rotating white dwarfs at finite temperatures using Newtonian and relativistic models, revealing how temperature influences their mass and radius relations and stability near maximum mass.

Contribution

It provides a comprehensive analysis of hot and cold white dwarfs in both static and rotating states, incorporating finite temperature effects with Chandrasekhar's equation of state.

Findings

Hot rotating white dwarfs have slightly less mass near maximum mass compared to cold ones.

Static hot white dwarfs have higher maximum mass than static cold white dwarfs.

Temperature affects the stability and mass-radius relations of white dwarfs.

Abstract

Static and uniformly rotating, cold and hot white dwarfs are investigated both in Newtonian gravity and general theory of relativity, employing the well-known Chandrasekhar equation of state. The mass-radius, mass-central density, radius-central density etc relations of stable white dwarfs with $\mu=A/Z=2$ and $\mu=56/26$ (where $A$ is the average atomic weight and $Z$ is the atomic charge) are constructed for different temperatures. It is shown that near the maximum mass the mass of hot rotating white dwarfs is slightly less than for cold rotating white dwarfs, though for static white dwarfs the situation is opposite.