Effect of rainbow function on the structural properties of dark energy star

Abstract

Confirming the existence of compact objects with a mass greater than $2.5M_{\odot }$ by observational results such as GW190814 makes that is possible to provide theories to justify these observational results using modified gravity. This motivates us to use gravity's rainbow, which is the appropriate case for dense objects, to investigate the dark energy star structure as a suggested alternative case to the mass gap between neutron stars and black holes in the perspective of quantum gravity. Hence, in the present work, we derive the modified hydrostatic equilibrium equation for an anisotropic fluid, represented by the extended Chaplygin equation of state in gravity's rainbow. Then, for two isotropic and anisotropic cases, using the numerical solution, we obtain energy-dependent maximum mass and its corresponding radius, and the other properties of the dark energy star including the pressure, energy density, stability, etc. In the following, using the observational data, we compare the obtained results in two frameworks of general relativity and gravity's rainbow.

arXiv comment12 pages, 8 figures, 4 tables

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• Study of scalar particles through the Klein-Gordon equation under rainbow gravity effects in Bonnor-Melvin-Lambda space-time
• Effects of gravity rainbow on scalar bosonic and oscillator fields in Bonnor-Melvin space-time with a cosmological constant
• Accelerating AdS black holes in gravity's rainbow
• Non-radial oscillations in anisotropic dark energy stars
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• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
• Neutron Star in Quantized-space-time
• Thermodynamic analysis of a compact object in Rastall-Rainbow gravity