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arXiv · 1707.00422

Compact stars in quantum spacetime

E. Harikumar·Zuhair N S
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Abstract

We derive bounds on the deformation parameter of the $κ$-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 $κ$-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.

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E. Harikumar, Zuhair N S. 2017-07-03. Compact stars in quantum spacetime. https://doi.org/10.1088/2399-6528%2Faaaf40

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