Compact stars in quantum spacetime

Abstract

We derive bounds on the deformation parameter of the $\kappa$-spacetime by analyzing the effect of non-commutativity on astrophysical model. We study compact stars, taken to be degenerate Fermi gas, in non-commutative spacetime. Using tools of statistical mechanics, we derive the degeneracy pressure of the compact star in $\kappa$-spacetime and from the hydrostatic equilibrium conditions we obtain a bound on the deformation parameter. We independently derive this bound using generalized uncertainty principle, which is a characteristic feature of quantum gravity approaches, strengthening the bound obtained.

14 pages

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Cited by in corpus (9)

• Fermi gas and modified gravity
• 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
• Time-space noncommutativity and Casimir effect
• Superdense star in a space-time with minimal length
• Neutron Star in Quantized-space-time
• How does Casimir energy fall in $\kappa$-deformed space-time?
• Influence of the cosmological constant on $\kappa$-deformed Neutron Star