On the stability of Einstein static universe in doubly general relativity scenario

Khodadi, Mohsen; Heydarzade, Y.; Nozari, Kourosh; Darabi, F.

doi:10.1140/epjc/s10052-015-3821-y

Cited by 32 publications

(19 citation statements)

References 90 publications

(187 reference statements)

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“…Indeed, in modified gravity, amongst others one can cure the emergent universe scenario, by making stable Einstein static universe. Hence, a large amount of activity was devoted to the study of the stability of the Einstein static universe in various gravitational modifications, such as Einstein-Cartan theory [8], Lyra geometry [9], non-constant pressure models [10], f (R) gravity [11], f (T ) gravity [12], loop quantum cosmology [13], massive gravity [14] and doubly general relativity [15], induced matter theory [16], braneworld models [17], etc.…”

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confidence: 99%

Emergent universe in Hořava-Lifshitz-likeF(R)gravity

et al. 2016

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We investigate the Einstein static universe (ESU) and the emergent universe scenario in the framework of Hořava-Lifshitz-like F (R) gravity. We first perform a dynamical analysis in the phase space, and amongst others we show that a spatially open universe filled with matter satisfying the strong energy condition can exhibit a stable static phase. Additionally, we examine the behavior of the scenario under scalar perturbations and extract the conditions under which it is free of perturbative instabilities, showing that the obtained background ESU solutions are free of such instabilities. However, in order for the Einstein static universe to give rise to the emergent universe scenario we need to have an exotic matter sector that can lead the universe to depart from the stable static state and enter into its usual expanding thermal history.

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confidence: 99%

Emergent universe in Hořava-Lifshitz-likeF(R)gravity

et al. 2016

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“…Another suggestion for the form of h(E) can be found in [16], and in analogy with this we suggest the following:…”

Section: Lorentz Invariance Violationmentioning

confidence: 54%

Energy scale of Lorentz violation in Rainbow Gravity

Nilsson

Dąbrowski

2017

Physics of the Dark Universe

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We modify the standard relativistic dispersion relation in a way which breaks Lorentz symmetry -the effect is predicted in a high-energy regime of some modern theories of quantum gravity. We show that it is possible to realise this scenario within the framework of Rainbow Gravity which introduces two new energy-dependent functions f 1 (E) and f 2 (E) into the dispersion relation. Additionally, we assume that the gravitational constant G and the cosmological constant Λ also depend on energy E and introduce the scaling function h(E) in order to express this dependence. For cosmological applications we specify the functions f 1 and f 2 in order to fit massless particles which allows us to derive modified cosmological equations. Finally, by using Hubble+SNIa+BAO(BOSS+Lyman α)+CMB data, we constrain the energy scale E LV to be at least of the order of 10 16 GeV at 1σ which is the GUT scale or even higher 10 17 GeV at 3σ. Our claim is that this energy can be interpreted as the decoupling scale of massless particles from spacetime Lorentz violating effects.

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“…In the background of cosmology, it is also possible that under the effects of gravity's rainbow, the big-bang singularity's problem can be solved [24,25]. The problems related to initial singularity [26] and the stability in Einstein static universe have also been studied in this theory [27]. It is also observed that, in the context of astrophysics, the mass functions of gravitating objects like white dwarfs and neutron stars are increasing functions of rainbow functions [28][29][30].…”

Section: Introductionmentioning

confidence: 95%

Energy dependent topological Black holes in Massive gravity coupled to Double-Logarithmic Electrodynamics

Ali¹

2020

Preprint

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This paper is devoted to the study of nonlinear magnetically charged black holes in the context of massive gravity's rainbow. For this, a recently proposed model of double-Logarithmic electrodynamics has been coupled to massive gravity and the energy dependent static spherically symmetric line element is considered. New AdS black hole solutions in this set up are derived and the corresponding thermodynamical properties are discussed. The finite mass of the black hole and the associated thermodynamical quantities such as Hawking temperature and heat capacity have been computed. Furthermore, thermodynamical stability/instability and the possibility of thermal phase transitions are also investigated. The modified Smarr's relation has been derived and the first law of thermodynamics is also examined. It is also mentioned that the black hole solutions of massive gravity and gravity's rainbow can also be regained separately from our results with in this model of nonlinear electrodynamics.

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On the stability of Einstein static universe in doubly general relativity scenario

Cited by 32 publications

References 90 publications

Emergent universe in Hořava-Lifshitz-likeF(R)gravity

Emergent universe in Hořava-Lifshitz-likeF(R)gravity

Energy scale of Lorentz violation in Rainbow Gravity

Energy dependent topological Black holes in Massive gravity coupled to Double-Logarithmic Electrodynamics

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