Abstract
The existence of Chandrasekhar’s limit has played various decisive roles in astronomical observations for many decades. However, various recent theoretical investigations suggest that gravitational collapse of white dwarfs is withheld for arbitrarily high masses beyond Chandrasekhar’s limit if the equation of state incorporates the effect of quantum gravity via the generalized uncertainty principle. There have been a few attempts to restore the Chandrasekhar limit but they are found to be inadequate. In this paper, we rigorously resolve this problem by analysing the dynamical instability in general relativity. We confirm the existence of Chandrasekhar’s limit as well as stable mass–radius curves that behave consistently with astronomical observations. Moreover, this stability analysis suggests gravitational collapse beyond the Chandrasekhar limit signifying the possibility of compact objects denser than white dwarfs.
Highlights
Chandrasekhar’s limit has played a crucial role in numerous astronomical findings for many decades
This implies that the generalized uncertainty principle (GUP)-enhanced equation of state prevents gravitational collapse and halts the formation of compact astrophysical objects denser than white dwarfs
For a preliminary idea about the mass–radius relation, we study the asymptotic solutions of the TOV equations in the low- and high-Fermi momentum limits
Summary
Chandrasekhar’s limit has played a crucial role in numerous astronomical findings for many decades. This implies that the GUP-enhanced equation of state prevents gravitational collapse and halts the formation of compact astrophysical objects denser than white dwarfs. We include the effect of quantum gravity on white dwarfs via the GUP with a positive sign for β This poses the well-known problem that the Chandrasekhar limit ceases to exist. We carry out a dynamical stability analysis of the equilibrium configurations so that the maximal stable configuration is identified In this framework, we rigorously confirm the existence of Chandrasekhar’s limit within the electroweak upper bound [39] of the GUP parameter β.
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