Effects of the Generalized Uncertainty Principle on Compact Stars

Abstract

Based on the generalized uncertainty principle (GUP), proposed by some approaches to quantum gravity such as string theory and doubly special relativity theories, we investigate the effect of GUP on the thermodynamic properties of compact stars with two different components. We note that the existence of quantum gravity correction tends to resist the collapse of stars if the GUP parameter $\alpha$ is taking values between Planck scale and electroweak scale. Comparing with approaches, it is found that the radii of compact stars are found smaller. Increasing energy almost exponentially decreases the radii of compact stars.

7 pages, two figures, to appear in IJMPD

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• Natural extension of the Generalised Uncertainty Principle
• Minimal Length in Quantum Gravity, Equivalence Principle and Holographic Entropy Bound
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Cited by in corpus (8)

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• Fermi equation of state with finite temperature corrections in quantum space-times approach: Snyder model vs GUP case
• Constraining Snyder and GUP models with low-mass stars
• Generalized Extended Uncertainty Principles, Liouville theorem and density of states: Snyder-de Sitter and Yang models
• Polymer quantum effects on compact stars models
• Radial Oscillations and Dynamical Instability Analysis for Linear-Quadratic GUP-modified White Dwarfs