Constraints on the braneworld from compact stars
R. Gonzalez Felipe, D. Manreza Paret, A. Perez Martinez

TL;DR
This paper derives observational constraints on braneworld models by analyzing the structure and stability of compact stars using modified gravitational equations and various equations of state.
Contribution
It introduces a numerical approach to constrain braneworld parameters through the study of stable compact stars with different matter compositions.
Findings
Constraints on braneworld parameters derived from star stability.
Numerical solutions of modified TOV equations for various matter types.
Insights into how extra dimensions affect compact star properties.
Abstract
According to the braneworld idea, ordinary matter is confined on a 3-dimensional space (brane) that is embedded in a higher-dimensional space-time where gravity propagates. In this work, after reviewing the limits coming from general relativity, finiteness of pressure and causality on the brane, we derive observational constraints on the braneworld parameters from the existence of stable compact stars. The analysis is carried out by solving numerically the brane-modified Tolman-Oppenheimer-Volkoff equations, using different representative equations of state to describe matter in the star interior. The cases of normal dense matter, pure quark matter and hybrid matter are considered.
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