Non-Minimally Conformally Coupling Cosmology with Multiple Vacua Potential with Cubic-Quintic-Septic Duffing Oscillator Properties

El-Nabulsi, Rami Ahmad

doi:10.1515/zna-2015-0171

Cited by 8 publications

(2 citation statements)

References 75 publications

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“…El-Nabulsi [16] performed a similar numerical study for the particular case of conformal coupling. Perivolariopoulos [17] examined Brans-Dicke theories with an oscillating scalar.…”

Section: Introductionmentioning

confidence: 99%

Oscillating scalar fields in extended quintessence

Scherrer

2018

Phys. Rev. D

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We study a rapidly-oscillating scalar field with potential V (φ) = k|φ| n nonminally coupled to the Ricci scalar R via a term of the form (1 − 8πG 0 ξφ 2 )R in the action. In the weak coupling limit, we calculate the effect of the nonminimal coupling on the time-averaged equation of state parameter γ = (p + ρ)/ρ. The change in γ is always negative for n ≥ 2 and always positive for n < 0.71 (which includes the case where the oscillating scalar field could serve as dark energy), while it can be either positive or negative for intermediate values of n. Constraints on the timevariation of G force this change to be infinitesimally small at the present time whenever the scalar field dominates the expansion, but constraints in the early universe are not as stringent. The rapid oscillation induced in G also produces an additional contribution to the Friedman equation that behaves like an effective energy density with a stiff equation of state, but we show that, under reasonable assumptions, this effective energy density is always smaller than the density of the scalar field itself.

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“…El-Nabulsi [16] performed a similar numerical study for the particular case of conformal coupling. Perivolariopoulos [17] examined Brans-Dicke theories with an oscillating scalar.…”

Section: Introductionmentioning

confidence: 99%

Oscillating scalar fields in extended quintessence

Scherrer

2018

Phys. Rev. D

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“…This law leads to an apparent variation in the isotropic density of galaxies and has peaks lying on concentric spherical shells at periodically spaced radii. Periodic gravity was also discussed in [27][28][29][30][31][32][33][34] through different frameworks.…”

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confidence: 99%

Oscillating gravity, non-singularity and mass quantization from Moffat stochastic gravity arguments

El-Nabulsi¹,

Anukool²

2022

Commun. Theor. Phys.

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In Moffat stochastic gravity arguments, the spacetime geometry is assumed to be a fluctuating background and the gravitational constant is a control parameter due to the presence of a time-dependent Gaussian white noise ξ ( t ) . In such a surrounding, both the singularities of gravitational collapse and the Big Bang have a zero probability of occurring. In this communication, we generalize Moffat’s arguments by adding a random temporal tiny variable for a smoothing purpose and creating a white Gaussian noise process with a short correlation time. The Universe accordingly is found to be non-singular and is dominated by an oscillating gravity. A connection with a quantum oscillator was established and analyzed. Surprisingly, the Hubble mass which emerges in extended supergravity may be quantized.

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Fractional Action Cosmology with Variable Order Parameter

El-Nabulsi¹

2017

Int J Theor Phys

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Non-Minimally Conformally Coupling Cosmology with Multiple Vacua Potential with Cubic-Quintic-Septic Duffing Oscillator Properties

Cited by 8 publications

References 75 publications

Oscillating scalar fields in extended quintessence

Oscillating scalar fields in extended quintessence

Oscillating gravity, non-singularity and mass quantization from Moffat stochastic gravity arguments

Fractional Action Cosmology with Variable Order Parameter

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