White-dwarfs equation of state and structure: The effect of temperature
Riccardo Fantoni
TL;DR
This paper investigates how finite temperature influences the equation of state and structure of white dwarfs, focusing on ideal quantum gases and their stability implications.
Contribution
It provides a general analysis of temperature effects on white dwarf structure using quantum statistics, extending beyond the zero-temperature approximation.
Findings
Temperature affects the stability of white dwarfs.
Finite temperature modifies the Fermi hole in electron gases.
Results applicable to ideal quantum gases in astrophysical contexts.
Abstract
We study the effect of having a finite temperature on the equation of state and structure of a white dwarf. In order to keep the treatment as general as possible we carry on our discussion for ideal quantum gases obeying to both the Fermi-Dirac and the Bose-Einstein statistics even if we will only use the results for the free electron gas inside a white dwarf. We discuss the effect of temperature on the stability of the star and on the Fermi hole.
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