Quantum gases and white dwarfs with quantum gravity

Moussa, Mohamed

doi:10.1088/1742-5468/2014/11/p11034

Cited by 8 publications

(11 citation statements)

References 33 publications

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“…There facts can be summarized as follows: 1-the quantum gravity leads to a decrease in star degenerate pressure which in turn supports star collapse and a reduction in star radius which is proportional to the quantum gravity parameter. This result is reported in [48] where the density of the star is constant. Introduction of realistic density inverts this behavior.…”

Section: /3supporting

confidence: 67%

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Quantum gravity corrections in Chandrasekhar limits

Moussa

2017

Physica A: Statistical Mechanics and its Applications

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It is agreed that Chandrasekhar mass and central density of white dwarfs are independent, which means that there is a whole series of stars having radius and central density as parameters that all have the same Chandrasekhar mass. In this article the influence of a quantum gravity is shown so the Chandrasekhar limits (mass and radius) depend explicitly on the central density and gravity parameters. A new polytropic relation between degenerate pressure of the star and its density is investigated. This leads to a modification in Lane-Emden equation and mass and radius formulas of the star. A modified Lane-Emden equation is solved numerically with consideration to the mass density of the star depends on its radius. The solution used in calculating the mass and radius limit of the white dwarf. It was found that mass and radius limits decrease due to increase in central density and gravity parameters in a comparison with the original values. We can say that central density and quantum gravity constitute a new tool that can help to make the theoretical values corresponding to experimental observations apply in a better manner.

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Section: /3supporting

confidence: 67%

“…In [48] The mass-radius relation for white dwarfs, with using constant density, is studied under the effect of quantum gravity. Reduction in degenerate pressure leads to more control of gravity collapse and hence a contraction in the radius of the star.…”

Section: Numerical Solutions Of the Modified Lane-emden Equationsmentioning

confidence: 99%

Quantum gravity corrections in Chandrasekhar limits

Moussa

2017

Physica A: Statistical Mechanics and its Applications

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“…The inclusion of quantum gravitational fluctuations via the generalized uncertainty principle in the equation of state of a degenerate electron gas was studied earlier in different contexts [19,[41][42][43][44]. In this section, we present the number density n, pressure P and energy density ɛ of the electron degenerate gas.…”

Section: Generalized Uncertainty Principle and Fermionic Equation Of Statementioning

confidence: 99%

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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“…* p.bargueno@uniandes.edu.co † elias.vagenas@ku.edu.kw 1 It is noteworthy that since there is a plethora of different forms of GUP, the phenomenological implications of GUP are numerous [21][22][23][24][25][26] .…”

Section: Introductionmentioning

confidence: 99%

Semiclassical corrections to black hole entropy and the generalized uncertainty principle

Bargueño

Vagenas

2015

Physics Letters B

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In this paper, employing the path integral method in the framework of a canonical description of a Schwarzschild black hole, we obtain the corrected inverse temperature and entropy of the black hole. The corrections are those coming from the quantum effects as well as from the Generalized Uncertainty Principle effects. Furthermore, an equivalence between the polymer quantization and the Generalized Uncertainty Principle description is shown provided the parameters characterizing these two descriptions are proportional.

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Quantum gases and white dwarfs with quantum gravity

Cited by 8 publications

References 33 publications

Quantum gravity corrections in Chandrasekhar limits

Quantum gravity corrections in Chandrasekhar limits

Existence of Chandrasekhar’s limit in generalized uncertainty white dwarfs

Semiclassical corrections to black hole entropy and the generalized uncertainty principle

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