The role of pressure anisotropy on quark stars in gravity’s rainbow

• Published in: The European physical journal. C, Particles and fields Vol. 84; no. 7; pp. 730 - 8
• Main Authors: Banerjee, Ayan, Pradhan, Anirudh, Dayanandan, B., Ali, Akram
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 23.07.2024; Springer Nature B.V; SpringerOpen
• Subjects: Acoustic velocity; Anisotropy; Astronomy; Astrophysics; Astrophysics and Cosmology; Elementary Particles; Energy; Equations of state; Equilibrium equations; Geometry; Gravitation theory; Gravity; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Neutron stars; Nuclear Energy; Nuclear Physics; Parameter modification; Phase transitions; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quark stars; Quarks; Rainbows; Regular Article - Theoretical Physics; Spacetime; Stars & galaxies; Static stability; String Theory; Theory of relativity; Velocity distribution
• ISSN: 1434-6052; 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-024-13120-x

This work is seeking for the existence of stable quark stars (QSs) in the framework of a modified theory of gravity known as gravity’s rainbow. This modification comes from the fact that the geometry of spacetime depends on the energy of the test particle. We solve numerically the modified TOV equations and present the mass–radius ( M – R ) diagram for quark matter equations of state. To constrain the allowed values of the model parameters, we use current astrophysical measurements of the masses and radii of neutron stars. Finally, we investigate the dynamical stability of the hydrostatic equilibrium equations in gravity’s rainbow by analyzing the static stability, adiabatic index, and sound velocity profiles.