Brans-Dicke theory and the emergence of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi><mml:mi>CDM</mml:mi></mml:math>model

Hrycyna, Orest; Szydłowski, Marek

doi:10.1103/physrevd.88.064018

Cited by 36 publications

(79 citation statements)

References 44 publications

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“…In contrast, as it has been shown in [16,17] by means of the tools of the dynamical systems theory, in a cosmological setting the GR-de Sitter solution can be a global attractor of the BD theory exclusively for the quadratic potential: V (φ) = M 2 φ 2 , or for any BD potential that asymptotes to the quadratic one, V (φ) → M 2 φ 2 (see the section VIII).…”

Section: Introductionmentioning

confidence: 92%

“…This looks like a bad news for the dilaton since, as shown in Ref. [16,17] (see the next section), only for the exponential potential U (ϕ) = M 2 exp ϕ, or for potentials which asymptote to M 2 exp ϕ, the BD theory has the ΛCDM solution -also called as concordance model [22,23] -as a global attractor.…”

Section: A Chameleonic Dilatonmentioning

confidence: 99%

“…[16,17])? In section VIII, by means of the tools of the dynamical systems theory, it has been shown that, only for the exponential potential U (ϕ) = M 2 exp ϕ (this corresponds to the quadratic potential V (φ) ∝ φ 2 in terms of the JF-BD field), or for potentials that asymptote to M 2 exp ϕ, the GR-de Sitter solution is an attractor of the BD theory.…”

Section: A Transmutation Of Bd Theory Into Grmentioning

confidence: 99%

“…In general, when one deals with BD cosmological models it is customary to choose the following variables [16]:…”

Section: What Do the Dynamical Systems Have To Say About The Brmentioning

confidence: 99%

“…In this case the dynamical systems tools come to our rescue. The dynamical systems theory provides powerful tools which are commonly used in cosmology to extract essential information on the dynamical properties of a variety of cosmological models, in particular, those models where the scalar field plays a role [16,[24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”

Section: What Do the Dynamical Systems Have To Say About The Brmentioning

confidence: 99%

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Chameleon effect in the Jordan frame of the Brans-Dicke theory

et al. 2015

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Section: Introductionmentioning

confidence: 92%

Section: A Chameleonic Dilatonmentioning

confidence: 99%

Section: A Transmutation Of Bd Theory Into Grmentioning

confidence: 99%

“…In general, when one deals with BD cosmological models it is customary to choose the following variables [16]:…”

Section: What Do the Dynamical Systems Have To Say About The Brmentioning

confidence: 99%

Section: What Do the Dynamical Systems Have To Say About The Brmentioning

confidence: 99%

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Chameleon effect in the Jordan frame of the Brans-Dicke theory

et al. 2015

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Dynamical system approach to scalar–vector–tensor cosmology

Ghaffarnejad

Yaraie

2017

Gen Relativ Gravit

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Using scalar-vector-tensor Brans Dicke (VBD) gravity [3] in presence of self interaction BD potential V (φ) and perfect fluid matter field action we solve corresponding field equations via dynamical system approach for flat Friedmann Robertson Walker metric (FRW). We obtained 3 type critical points for ΛCDM vacuum de Sitter era where stability of our solutions are depended to choose particular values of BD parameter ω. One of these fixed points is supported by a constant potential which is stable for ω < 0 and behaves as saddle (quasi stable) for ω ≥ 0. Two other ones are supported by a linear potential V (φ) ∼ φ which one of them is stable for ω = 0.27647. For a fixed value of ω there is at least 2 out of 3 critical points reaching to a unique critical point. Namely for ω = −0.16856(−0.56038) the second (third) critical point become unique with the first critical point. In dust and radiation eras we obtained 1 critical point which never become unique fixed point. In the latter case coordinates of fixed points are also depended to ω. To determine stability of our solutions we calculate eigenvalues of Jacobi matrix of 4D phase space dynamical field equations for de Sitter, dust and radiation eras. We should be point also potentials which support dust and radiation eras must be similar to V (φ) ∼ φ − 1 2 and V (φ) ∼ φ −1 respectively. In short our study predicts that radiation and dust eras of our VBD-FRW cosmology transmit to stable de Sitter state via non-constant potential (effective variable cosmological parameter) by choosing ω = 0.27647.

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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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Brans-Dicke theory and the emergence ofΛCDMmodel

Cited by 36 publications

References 44 publications

Chameleon effect in the Jordan frame of the Brans-Dicke theory

Chameleon effect in the Jordan frame of the Brans-Dicke theory

Dynamical system approach to scalar–vector–tensor cosmology

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

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