Nonlinearity of Electrodynamics as a Source of Matter Creation in a Flat FRW Cosmology

Câmara, C. S.; Carvalho, J. C.; Maia, M. R. de Garcia

doi:10.1142/s0218271807010213

Cited by 12 publications

(14 citation statements)

References 9 publications

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“…Over the last few years there has been a significant amount of interest in cosmological models involving nonlinear electromagnetic fields [1,2,3]. If the early universe is dominated by radiation governed by Maxwell's equations it is well known that there will be a spacelike initial singularity in the past.…”

Section: Introductionmentioning

confidence: 99%

Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation

Vollick

2008

Phys. Rev. D

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In this paper I examine cosmological models that contain a stochastic background of nonlinear electromagnetic radiation. I show that for Born-Infeld electrodynamics the equation of state parameter, w = P/ρ, remains close to 1/3 throughout the evolution of the universe if E 2 = B 2 in the late universe to a high degree of accuracy.Theories with electromagnetic Lagrangians of the form L = − 1 4 F 2 +αF 4 have recently been studied in magnetic universes, where the electric field vanishes. It was shown that the F 4 term can produce a bounce in the early universe, avoiding an initial singularity. Here I show that the inclusion of an electric field, with E 2 ≃ B 2 in the late universe, eliminates the bounce and the universe "begins" in an initial singularity.I also examine theories with Lagrangians of the form L = − 1 4 F 2 − µ 8 /F 2 , which have been shown to produce a period of late time accelerated expansion in magnetic universes. I show that, if an electric field is introduced, the accelerated phase will only occur if E 2 < 3B 2 .

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Section: Introductionmentioning

confidence: 99%

Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation

Vollick

2008

Phys. Rev. D

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“…Ergospheres are given by V = 0 and the velocity of light surface is given by X = 0. Comparing our rotating spacetime (13) with the former metric, one can show that X = 0 leads to…”

Section: Properties Of the Solutionsmentioning

confidence: 97%

“…(1), (3) and (5) show that for s = 1 (linear case) and 1/2 < s ≤ n/2, the metric of Eqs. (13) and (15) has two inner and outer event horizons located at r − and r + , provided the mass parameter m is greater than m ext given as These solutions present naked singularity for m < m ext and when m = m ext , we have an extreme black brane with horizon radius…”

Section: Properties Of the Solutionsmentioning

confidence: 99%

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Rotating black branes in the presence of nonlinear electromagnetic field

Hendi

2010

Eur. Phys. J. C

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In this paper, we consider a class of gravity whose action represents itself as a sum of the usual Einstein-Hilbert action with cosmological constant and an U (1) gauge field for which the action is given by a power of the Maxwell invariant. We present a class of the rotating black branes with Ricci flat horizon and show that the presented solutions may be interpreted as black brane solutions with two event horizons, extreme black hole and naked singularity provided the parameters of the solutions are chosen suitably. We investigate the properties of the solutions and find that for the special values of the nonlinear parameter, the solutions are not asymptotically anti-deSitter. At last, we obtain the conserved quantities of the rotating black branes and find that the nonlinear source effects on the electric field, the behavior of spacetime, type of singularity and other quantities.PACS. PACS-key discribing text of that key -PACS-key discribing text of that key

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“…These theories are richer than linear electrodynamics and can reduce to linear Maxwell theory. In addition, several authors have studied cosmological models, including nonlinear electrodynamic fields [13][14][15][16][17][18]. Some authors have found charged black hole and black brane solutions coupled to nonlinear electrodynamics [19][20][21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of nonlinearly charged black holes in the Brans–Dicke modified gravity theory

Pakravan

Takook

2018

J Theor Appl Phys

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In this work, the charged black hole solution to the Brans-Dicke gravity theory in the presence of the nonlinear electrodynamics has been investigated. To simplify the field equations, a conformal transformation has been introduced which transforms the Brans-Dicke-Born-Infeld Lagrangian to that of Einstein-dilaton-Born-Infeld theory. A new class of ðn þ 1Þ-dimensional black hole solution has been constructed out as the exact solution to the Brans-Dicke theory in the presence of the Born-Infeld nonlinear electrodynamics. The physical properties of the solutions have been studied. The black hole charge and temperature have been calculated making use of the Gauss's law and the concept of surface gravity, respectively. Also, the black hole mass and entropy have been obtained from geometrical methods. Trough a Smarr-type mass formula as a function of the black hole charge and entropy the black hole temperature and electric potential, as the intensive parameters conjugate to the black hole entropy and charge, have been calculated. The consistency of results of the geometrical and thermodynamical approaches confirms the validity of the first law of black hole thermodynamics for this new black hole solution. Finally, making use of the ensemble canonical method, the local stability or phase transition of the new ðn þ 1Þ-dimensional Brans-Dicke-Born-Infeld black hole solution has been analyzed.

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Nonlinearity of Electrodynamics as a Source of Matter Creation in a Flat FRW Cosmology

Cited by 12 publications

References 9 publications

Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation

Homogeneous and isotropic cosmologies with nonlinear electromagnetic radiation

Rotating black branes in the presence of nonlinear electromagnetic field

Thermodynamics of nonlinearly charged black holes in the Brans–Dicke modified gravity theory

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