Scalar–tensor teleparallel gravity with boundary term by Noether symmetries

Geçim, Ganim; Küçükakça, Yusuf

doi:10.1142/s0219887818501517

Cited by 22 publications

(22 citation statements)

References 145 publications

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“…Non-minimal scalar field couplings with the torsion and boundary term scalars have been explored in Refs. [688,487,100] with f (T ) = 0, ω(φ) = 1 21 . Starting with Refs.…”

Section: Non-minimally Coupled Scalar Fieldsmentioning

confidence: 99%

See 1 more Smart Citation

Teleparallel Gravity: From Theory to Cosmology

Bahamonde¹,

Dialektopoulos²,

Escamilla-Rivera³

et al. 2021

Preprint

123

259

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Equation of State LHS Left hand side RHS Right hand side STEGR Symmetric teleparallel equivalent of general relativity TEGB Teleparallel equivalent of the Gauss-Bonnet PPN Parameterized post-Newtonian formalism SN Supernova (we use abbreviations SNeIa and SNIa to refer to supernova type 1a) BAO Baryonic Acoustic Oscillations CC Cosmic Chronometers DE Dark energy HDE Holographic Dark Energy QCD Quantum Chromodynamics PlDE Pilgrim Dark Energy CMB Cosmic Microwave Background WMAP Wilkinson Microwave Anisotropy Probe SVT Scalar-Vector-Tensor VLBI Very Long Baseline Interferometry SH0ES Supernova H0 for the Equation of State TRGB Tip of the red-giant branch TDCOSMO Time-delay Cosmography vi

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“…Non-minimal scalar field couplings with the torsion and boundary term scalars have been explored in Refs. [688,487,100] with f (T ) = 0, ω(φ) = 1 21 . Starting with Refs.…”

Section: Non-minimally Coupled Scalar Fieldsmentioning

confidence: 99%

“…Starting with Refs. [688,487], in order to simplify the Noether symmetry analysis, the following models were considered:…”

Section: Non-minimally Coupled Scalar Fieldsmentioning

confidence: 99%

Teleparallel Gravity: From Theory to Cosmology

Bahamonde¹,

Dialektopoulos²,

Escamilla-Rivera³

et al. 2021

Preprint

123

259

View full text Add to dashboard Cite

show abstract

“…In the teleparallel setting, scalar fields have been investigated to a moderate degree, with various extensions having been investigated in the cosmological context [23][24][25][26][27][28]. Furthermore, the effects of the boundary couplings in scalar tensor theories have been discussed in various papers [25,[29][30][31][32][33][34][35][36][37][38][39][40][41]. A recent review on various studies related to dynamical analysis in different cosmological constructions can be found in [42].…”

Section: Introductionmentioning

confidence: 99%

Generalized tachyonic teleparallel cosmology

2019

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In this paper we propose a new dark energy model in the teleparallel alternative of general relativity, by considering a generalized non-minimal coupling of a tachyonic scalar field with the teleparallel boundary term. Within the framework of teleparallel gravity, the boundary coupling term is associated with the divergence of the torsion vector. Considering the linear stability technique for various potentials and couplings, we have analyzed the dynamical properties of the present tachyonic dark energy model in the phase space, uncovering the corresponding essential dynamical features. Our study of the phase space structure revealed that for a specific class of potential energy, this model exhibits various critical points which are related to different cosmological behaviors, such as accelerated expansion and scaling solutions, determining the existence conditions and the corresponding physical features.

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“…As the impetus and implications from fundamental physics to the reasonable form of nonminimal coupling to torsion are still unclear, alternatives to the usual quadratic coupling may be well explored. Of course, there are also proposals for more general scalar-torsion theories including an additional coupling to vector torsion or the boundary term [22,51,84,85], modification of the kinetic term [86], analogue of Horndeski gravity [87], and even more general frameworks [58,63,88]. The current method of investigation should be suitable for those as well.…”

Section: Discussionmentioning

confidence: 99%

Global Portraits of Nonminimal Teleparallel Inflation

Järv

Lember

2021

Universe

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We construct global phase portraits of inflationary dynamics in teleparallel gravity models with a scalar field nonminimally coupled to torsion scalar. The adopted set of variables can clearly distinguish between different asymptotic states as fixed points, including the kinetic and inflationary regimes. The key role in the description of inflation is played by the heteroclinic orbits that run from the asymptotic saddle points to the late time attractor point and are approximated by nonminimal slow roll conditions. To seek the asymptotic fixed points, we outline a heuristic method in terms of the “effective potential” and “effective mass”, which can be applied for any nonminimally coupled theories. As particular examples, we study positive quadratic nonminimal couplings with quadratic and quartic potentials and note how the portraits differ qualitatively from the known scalar-curvature counterparts. For quadratic models, inflation can only occur at small nonminimal coupling to torsion, as for larger coupling, the asymptotic de Sitter saddle point disappears from the physical phase space. Teleparallel models with quartic potentials are not viable for inflation at all, since for small nonminimal coupling, the asymptotic saddle point exhibits weaker than exponential expansion, and for larger coupling, it also disappears.

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Scalar–tensor teleparallel gravity with boundary term by Noether symmetries

Cited by 22 publications

References 145 publications

Teleparallel Gravity: From Theory to Cosmology

Teleparallel Gravity: From Theory to Cosmology

Generalized tachyonic teleparallel cosmology

Global Portraits of Nonminimal Teleparallel Inflation

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