https://doi.org/10.1140/epjc/s10052-024-13120-x
Regular Article - Theoretical Physics
The role of pressure anisotropy on quark stars in gravity’s rainbow
1
Atrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag X54001, 4000, Durban, South Africa
2
Centre for Cosmology, Astrophysics and Space Science, GLA University, 281 406, Mathura, Uttar Pradesh, India
3
Natural and Medical Sciences Research Centre, University of Nizwa, 616, Nizwa, Sultanate of Oman
4
Department of Mathematics, College of Science, King Khalid University, 9004, Abha, Saudi Arabia
Received:
6
June
2024
Accepted:
14
July
2024
Published online:
23
July
2024
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.
© The Author(s) 2024
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