Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity*

Yang, Wei-Heng; Xiong, Yu-Zhen; Chen, Hui; Liu, Sanqiu

doi:10.1088/1674-1056/abb3f0

Cited by 22 publications

(21 citation statements)

References 41 publications

(49 reference statements)

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“…, and where the chemical potential µ can be fixed through normalization. Equivalently, Kaniadakis entropy can be expressed as [63][64][65][66][67][68]…”

Section: A Kaniadakis Entropymentioning

confidence: 99%

Modified cosmology through Kaniadakis horizon entropy

Lymperis,

Basilakos,

Saridakis

2021

Preprint

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We apply the gravity-thermodynamics conjecture, namely the first law of thermodynamics on the Universe horizon, but using the generalized Kaniadakis entropy instead of the standard Bekenstein-Hawking one. The former is a one-parameter generalization of the classical Boltzmann-Gibbs-Shannon entropy, arising from a coherent and self-consistent relativistic statistical theory. We obtain new modified cosmological scenarios, namely modified Friedmann equations, which contain new extra terms that constitute an effective dark energy sector depending on the single model Kaniadakis parameter K. We investigate the cosmological evolution, by extracting analytical expressions for the dark energy density and equation-of-state parameters and we show that the Universe exhibits the usual thermal history, with a transition redshift from deceleration to acceleration at around 0.6. Furthermore, depending on the value of K, the dark energy equation-of-state parameter deviates from ΛCDM cosmology at small redshifts, while lying always in the phantom regime, and at asymptotically large times the Universe always results in a dark-energy dominated, de Sitter phase. Finally, even in the case where we do not consider an explicit cosmological constant the resulting cosmology is very interesting and in agreement with the observed behavior.

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“…, and where the chemical potential µ can be fixed through normalization. Equivalently, Kaniadakis entropy can be expressed as [63][64][65][66][67][68]…”

Section: A Kaniadakis Entropymentioning

confidence: 99%

Modified cosmology through Kaniadakis horizon entropy

Lymperis,

Basilakos,

Saridakis

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…, and where the chemical potential μ can be fixed through normalization. Equivalently, Kaniadakis entropy can be expressed as [64][65][66][67][68][69][70][71]…”

Section: Kaniadakis Entropymentioning

confidence: 99%

Modified cosmology through Kaniadakis horizon entropy

2021

View full text Add to dashboard Cite

We apply the gravity-thermodynamics conjecture, namely the first law of thermodynamics on the Universe horizon, but using the generalized Kaniadakis entropy instead of the standard Bekenstein–Hawking one. The former is a one-parameter generalization of the classical Boltzmann–Gibbs–Shannon entropy, arising from a coherent and self-consistent relativistic statistical theory. We obtain new modified cosmological scenarios, namely modified Friedmann equations, which contain new extra terms that constitute an effective dark energy sector depending on the single model Kaniadakis parameter K. We investigate the cosmological evolution, by extracting analytical expressions for the dark energy density and equation-of-state parameters and we show that the Universe exhibits the usual thermal history, with a transition redshift from deceleration to acceleration at around 0.6. Furthermore, depending on the value of K, the dark energy equation-of-state parameter deviates from $$\Lambda $$ Λ CDM cosmology at small redshifts, while lying always in the phantom regime, and at asymptotically large times the Universe always results in a dark-energy dominated, de Sitter phase. Finally, even in the case where we do not consider an explicit cosmological constant the resulting cosmology is very interesting and in agreement with the observed behavior.

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“…T , and the chemical potential µ can be fixed by normalization [69,70]. Kaniadakis entropy can be expressed as [74][75][76][77][78][79]…”

Section: Kaniadakis Holographic Dark Energymentioning

confidence: 99%

Kaniadakis holographic dark energy and cosmology

Drepanou,

Lymperis,

Saridakis

et al. 2021

Preprint

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We construct a holographic dark energy scenario based on Kaniadakis entropy, which is a generalization of Boltzmann-Gibbs entropy that arises from relativistic statistical theory and is characterized by a single parameter K which quantifies the deviations from standard expressions. We extract the differential equation that determines the evolution of the effective dark energy density parameter, and we provide analytical expressions for the corresponding equation-of-state and deceleration parameters. We show that the universe exhibits the standard thermal history, with the sequence of matter and dark-energy eras, while the transition to acceleration takes place at z ≈ 0.6. Concerning the dark-energy equation-of-state parameter we show that it can have a rich behavior, being quintessencelike, phantom-like, or experience the phantom-divide crossing in the past or in the future. Finally, in the far future dark energy dominates completely, and the asymptotic value of its equation of state depends on the values of the two model parameters.

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Jeans gravitational instability with κ-deformed Kaniadakis distribution in Eddington-inspired Born–Infield gravity*

Cited by 22 publications

References 41 publications

Modified cosmology through Kaniadakis horizon entropy

Modified cosmology through Kaniadakis horizon entropy

Modified cosmology through Kaniadakis horizon entropy

Kaniadakis holographic dark energy and cosmology

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