Prospect of Chandrasekhar’s limit against modified dispersion relation

Mathew, Arun; Nandy, Malay K.

doi:10.1007/s10714-020-02686-y

Cited by 2 publications

(2 citation statements)

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Section: Dynamical Stability Analysismentioning

confidence: 99%

“…As we have already noted, dynamical stability analysis consists of the investigation of the time evolution of homologous infinitesimal perturbations about the equilibrium configuration [48–51]. The corresponding metric interior to the star is expressed asds2=normaleν+δνc2 dt2−normaleμ+δμ dr2−r2false(dθ2+sin2⁡θ dϕ2false),where ν ( r ) and μ ( r ) are the equilibrium metric potentials and the perturbations δν ( r , t ) and δμ ( r , t ) are due to small radial Lagrangian displacements ζ ( r , t ).…”

Section: Dynamical Stability Analysismentioning

confidence: 99%

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Existence of Chandrasekhar’s limit in generalized uncertainty white dwarfs

Mathew

Nandy

2021

R. Soc. open sci.

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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.

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Section: Dynamical Stability Analysismentioning

confidence: 99%