Generalized uncertainty principle and the maximum mass of ideal white dwarfs

Rashidi, R.

doi:10.1016/j.aop.2016.09.005

Cited by 36 publications

(51 citation statements)

References 43 publications

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“…We note that for large R, the leading term goes like M 5 9 , that is, lim M →∞ R = ∞. This is consistent with the conclusion in [26], which was obtained via a more rigorous analysis. Fig.…”

Section: How Generalized Uncertainty Principle Removes the Chandsupporting

confidence: 91%

Generalized uncertainty principle, black holes, and white dwarfs: a tale of two infinities

Ong

2018

J. Cosmol. Astropart. Phys.

126

120

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It is often argued that quantum gravitational correction to the Heisenberg's uncertainty principle leads to, among other things, a black hole remnant with finite temperature. However, such a generalized uncertainty principle also seemingly removes the Chandrasekhar limit, i.e., it permits white dwarfs to be arbitrarily large, which is at odds with astrophysical observations. We show that this problem can be resolved if the parameter in the generalized uncertainty principle is negative. We also discuss the Planck scale physics of such a model.

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Section: How Generalized Uncertainty Principle Removes the Chandsupporting

confidence: 91%

Generalized uncertainty principle, black holes, and white dwarfs: a tale of two infinities

Ong

2018

J. Cosmol. Astropart. Phys.

126

120

View full text Add to dashboard Cite

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“…It is interesting to note that the mass and radius of the core behave as ∼ p 3/2 fc and ∼ p 1/2 fc . Thus, in both of these analyses, the mass and radius approach the same asymptotic behaviour as obtained by Rashidi [35].…”

Section: Introductionsupporting

confidence: 79%

“…Rashidi [35], on the other hand, considered the case of Helium white dwarfs assuming an ultra-relativistic (E = pc) Fermi gas and, using the generalized uncertainty invariant measure (1 + βp 2 ) −3 d 3 x d 3 p, obtained the equation of state in the ideal degenerate case. He further considered the hydrostatic equilibrium with a non-uniform density and analyzed a generalized version of the Lane-Emden equation as an initial value problem.…”

Section: Introductionmentioning

confidence: 99%

Effect of minimal length uncertainty on the mass–radius relation of white dwarfs

Mathew

Nandy

2018

Annals of Physics

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Generalized uncertainty relation that carries the imprint of quantum gravity introduces a minimal length scale into the description of space-time. It effectively changes the invariant measure of the phase space through a factor (1+βp 2 ) −3 so that the equation of state for an electron gas undergoes a significant modification from the ideal case. It has been shown in the literature (Rashidi 2016) that the ideal Chandrasekhar limit ceases to exist when the modified equation of state due to the generalized uncertainty is taken into account. To assess the situation in a more complete fashion, we analyze in detail the mass-radius relation of Newtonian white dwarfs whose hydrostatic equilibria are governed by the equation of state of the degenerate relativistic electron gas subjected to the generalized uncertainty principle. As the constraint of minimal length imposes a severe restriction on the availability of high momentum states, it is speculated that the central Fermi momentum cannot have values arbitrarily higher than pmax ∼ β −1/2 . When this restriction is imposed, it is found that the system approaches limiting mass values higher than the Chandrasekhar mass upon decreasing the parameter β to a value given by a legitimate upper bound. Instead, when the more realistic restriction due to inverse β-decay is considered, it is found that the mass and radius approach the values close to 1.45 M⊙ and 600 km near the legitimate upper bound for the parameter β. On the other hand, when β is decreased sufficiently from the legitimate upper bound, the mass and radius are found to be approximately 1.46 M⊙ and 650 km near the neutronization threshold.

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“…The changes caused by classical gravity could in principle have a great deal of implications. An example is the disappearance of the Chandrasekhar limit [31] under the GUP and its recovery under the application of the EUP [32]. In fact, it emerges that the curvature effect is missing in the GUP and once the EUP is applied, it helps to recover the limit which is an observational fact.…”

Section: Introductionmentioning

confidence: 99%

Extended uncertainty principle for rindler and cosmological horizons

Dąbrowski

Wagner

2019

Eur. Phys. J. C

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We find exact formulas for the Extended Uncertainty Principle (EUP) for the Rindler and Friedmann horizons and show that they can be expanded to obtain asymptotic forms known from the previous literature. We calculate the corrections to Hawking temperature and Bekenstein entropy of a black hole in the universe due to Rindler and Friedmann horizons. The effect of the EUP is similar to the canonical corrections of thermal fluctuations and so it rises the entropy signalling further loss of information.

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Generalized uncertainty principle and the maximum mass of ideal white dwarfs

Cited by 36 publications

References 43 publications

Generalized uncertainty principle, black holes, and white dwarfs: a tale of two infinities

Generalized uncertainty principle, black holes, and white dwarfs: a tale of two infinities

Effect of minimal length uncertainty on the mass–radius relation of white dwarfs

Extended uncertainty principle for rindler and cosmological horizons

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