A new deterministic model of strange stars

TL;DR

This paper introduces a new deterministic model for strange stars based on the MIT bag model, deriving mass-radius relations and other characteristics consistent with observed data.

Contribution

It presents a novel interpolation-based mass function for strange stars, providing a comprehensive model that aligns with observational constraints and Buchdahl's relation.

Findings

Mass-radius relation consistent with Buchdahl's limit

Predicted surface redshift for strange stars

Characteristics of a 9.9 km radius strange star

Abstract

The observed evidence for the existence of strange stars and the concomitant observed masses and radii are used to derive an interpolation formula for the mass as a function of the radial coordinate. The resulting general mass function becomes an effective model for a strange star. The analysis is based on the MIT bag model and yields the energy density, as well as the radial and transverse pressures. Using the interpolation function for the mass, it is shown that a mass-radius relation due to Buchdahl is satisfied in our model. We find the surface redshift ($Z$) corresponding to the compactness of the stars. Finally, from our results, we predict some characteristics of a strange star of radius 9.9 km.