Quantum Gravity Corrections in Chandrasekhar Limits

TL;DR

This paper investigates how quantum gravity effects modify the Chandrasekhar limits for white dwarfs, showing that mass and radius depend on central density and gravity parameters, leading to decreased limits.

Contribution

It introduces a quantum gravity correction to the Chandrasekhar limit by modifying the Lane-Emden equation and deriving new mass and radius formulas.

Findings

Mass and radius limits decrease with increasing central density and gravity parameters.

Quantum gravity effects improve the agreement between theoretical and observational data.

A new polytropic relation and modified Lane-Emden equation are developed and numerically solved.

Abstract

It is agreed that Chandrasekhar mass and central density of white dwarfs are independent, which means that there is a whole series of stars having radius and central density as parameters that all have the same Chandrasekhar mass. In this article the influence of a quantum gravity is shown so the Chandrasekhar limits (mass and radius) depend explicitly on the central density and gravity parameters. A new polytropic relation between degenerate pressure of the star and its density is investigated. This leads to a modification in Lane-Emden equation and mass and radius formulas of the star. A modified Lane-Emden equation is solved numerically with consideration to the mass density of the star depends on its radius. The solution used in calculating the mass and radius limit of the white dwarf. It was found that mass and radius limits decrease due to increase in central density and gravity parameters in a comparison with the original values. We can say that central density and quantum gravity constitute a new tool that can help to make the theoretical values corresponding to experimental observations apply in a better manner.