Constraining Effective Temperature, Mass and Radius of Hot White Dwarfs

TL;DR

This paper introduces a simplified model to derive an analytical relation that constrains the effective temperature, mass, and radius of hot white dwarfs, aiding in their classification and understanding their evolution.

Contribution

It presents a new semi-empirical relation linking temperature, mass, and radius of white dwarfs, enabling quick mass estimation from spectral data.

Findings

Derived an analytical temperature-mass-radius relation for white dwarfs.

Classified white dwarf data according to their cooling evolution.

Linked the relation to ignition temperature of C-O material.

Abstract

By introducing a simplified transport model of outer layers of white dwarfs we derive an analytical semi-empirical relation which constrains effective temperature-mass-radius for white dwarfs. This relation is used to classify recent data of white dwarfs according to their time evolution in non-accretion process of cooling. This formula permit us to study the population map of white dwarfs in the central temperature and mass plane, and discuss the relation with the ignition temperature for C-O material. Our effective temperature-mass-radius relation provide a quick method to estimate the mass of newly observed white dwarfs from their spectral measurements of effective temperature and superficial gravity.