Extended Born-Infeld theory and the bouncing magnetic universe

Novello, M.; Salim, J. M.; Araújo, Ana Lucélia de

doi:10.1103/physrevd.85.023528

Cited by 8 publications

(41 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the two opposite representations (31) and (37) we can get a rough estimate for the behavior of the field energy (20), (19) in the asymptotic regime R → 0, where the two point charges approach each other infinitely close. According to that estimate, in this regime the energy of the system of two point charges can be represented as…”

Section: Discussionmentioning

confidence: 99%

“…[6][7][8][9][10][11][12] and the references therein) with finite selfa e-mail: breev@mail.tsu.ru b e-mail: shabad@lpi.ru energy of the point charge, allied to their famous prototype, the Born-Infeld model [13], where the finiteness of the field is achieved at the cost of square-root nonanalyticity of the Lagrangian, which leads to an infinity to the Maxwell equation. The most popular application [6][7][8][9][10][11][12][14][15][16][17][18][19][20][21][22]] of these models is to combine them with General Relativity in order to study their effect on the initial singularity and on the evolution of the Universe. In contrast to the Born-Infeld model, the models from the class of Ref.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Interaction between two point-like charges in nonlinear electrostatics

Бреев

Shabad

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

We consider two point-like charges in electrostatic interaction within the framework of a nonlinear model, associated with QED, that provides finiteness of their field energy. We find the common field of the two charges in a dipole-like approximation, where the separation between them R is much smaller than the observation distance r : with the linear accuracy with respect to the ratio R/r , and in the opposite approximation, where R r, up to the term quadratic in the ratio r/R. The consideration proposes the law a + bR 1/3 for the energy, when the charges are close to one another, R → 0. This leads to the singularity of the force between them to be R −2/3 , which is weaker than the Coulomb law, R −2 .

show abstract

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Interaction between two point-like charges in nonlinear electrostatics

Бреев

Shabad

2018

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…Actually, since to the left of t − = −2 √ 3α and to the right of t + = 2 √ 3α, |c 2 s | is very large and negative, these periods of cosmological time are characterized by insurmountable instabilities against small fluctuations of the background. This means that, even if this is a regular cosmological model which is free of curvature singularities, 9 as the universe transits from the past -through the bounce -into the future, it will not survive contraction behind t − . For the same reason the cosmic evolution predicted by this model will not survive expansion after the bounce past t + .…”

Section: Second Order Nled: Bouncing Magnetic Universe?mentioning

confidence: 99%

“…A modification of the BI Lagrangian (1) was proposed in the reference [9]. With the hope to adequate the BI theory to the case of a magnetic universe with the field invariant F bounded , the authors added a term quadratic in F within the square root in (1) and, besides, removed the term ∝ γ 2 , resulting in the following Lagrangian density:…”

Section: Born-infeld Theory and Its Modificationsmentioning

confidence: 99%

No compelling cosmological models come out of magnetic universes which are based on nonlinear electrodynamics

2014

View full text Add to dashboard Cite

Here we investigate the cosmic dynamics of Friedmann-Robertson-Walker universes -flat spatial sections -which are driven by nonlinear electrodynamics (NLED) Lagrangians. We pay special attention to the check of the sign of the square sound speed since, whenever the latter quantity is negative, the corresponding cosmological model is classically unstable against small perturbations of the background energy density. Besides, based on causality arguments, one has to require that the mentioned small perturbations of the background should propagate at most at the local speed of light. We also look for the occurrence of curvature singularities. Our results indicate that several cosmological models which are based in known NLED Lagrangians, either are plagued by curvature singularities of the sudden and/or big rip type, or are violently unstable against small perturbations of the cosmological background -due to negative sign of the square sound speedor both. In addition, causality issues associated with superluminal propagation of the background perturbations may also arise.

show abstract

“…Cosmological models exploring non-linear electrodynamics may solve problem of early time inflation and singularities without modification of general relativity. In a cosmological setting, these theories have been explored mainly within the so called 'magnetic universe' approximation [15][16][17][18]. Near the Planck era, NLE models can mimic dark energy and can produce inflation in early universe [19,20].…”

Section: Introductionmentioning

confidence: 99%

Accelerating cosmologies with nonlinear electrodynamics

Singh

Hulke

Singh³

2018

Can. J. Phys.

View full text Add to dashboard Cite

In this paper, we consider the framework of nonlinear electrodynamics in locally rotationally symmetric (LRS) Bianchi-I universe model composed of magnetic fluid. It has been shown that an accelerated universe expansion takes place if the nonlinear electromagnetic field is a source of gravitational field. In this model, after the big bang, the universe undergoes inflation and the accelerated expansion, dissipates the initial anisotropy of the curvature part without using a selected initial condition. Further validity of generalised second law of thermodynamics in the cosmological model enclosed by apparent horizon is investigated. We also discuss the classical stability of the cosmological model and observational viability of the model.

show abstract

Extended Born-Infeld theory and the bouncing magnetic universe

Cited by 8 publications

References 20 publications

Interaction between two point-like charges in nonlinear electrostatics

Interaction between two point-like charges in nonlinear electrostatics

No compelling cosmological models come out of magnetic universes which are based on nonlinear electrodynamics

Accelerating cosmologies with nonlinear electrodynamics

Contact Info

Product

Resources

About