Generalised nonminimally gravity-matter coupled theory

Bahamonde, Sebastián

doi:10.1140/epjc/s10052-018-5793-1

Cited by 28 publications

(31 citation statements)

References 57 publications

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“…Still, there is a long route for understanding the possible astrophysical effects of modified Teleparallel theories of gravity. It might be interesting to follow a similar approach done in this paper for other Teleparallel theories, such as scalar-tensor theories [66][67][68][69][70][70][71][72][73][74][75], non-local theories [76] or theories with non-minimally couplings between matter and gravity [77]. These works will be done in forthcoming studies.…”

Section: Case 4: Ft B =mentioning

confidence: 83%

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Bahamonde

Camcı²

2019

Symmetry

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Finding spherically symmetric exact solutions in modified gravity is usually a difficult task. In this paper we use the Noether's symmetry approach for a modified Teleparallel theory of gravity labelled as f (T, B) gravity where T is the scalar torsion and B the boundary term. Using the Noether's theorem, we were able to find exact spherically symmetric solutions for different forms of the function f (T, B) coming from the Noether's symmetries.

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Section: Case 4: Ft B =mentioning

confidence: 83%

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Bahamonde

Camcı²

2019

Symmetry

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“…which is clearly determined through the Weitzenböck connection but can be compared with the Ricci scalar analog that is calculated using the Levi-Civita connection. Coincidentally, it turns out that these scalars are equal up to a total divergence term [47,48], namely…”

Section: A the Teleparallel Equivalent Of General Relativity And Itsmentioning

confidence: 99%

Can Horndeski theory be recast using teleparallel gravity?

Dialektopoulos²,

2019

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Horndeski gravity is the most general scalar tensor theory, with a single scalar field, leading to second-order field equations and after the GW170817 it has been severely constrained. Since this theory is very important in modified gravity, it is then worth studying possible similar theories starting from other frameworks. In this paper, we study the analog of Horndeski's theory in the Teleparallel Gravity framework where gravity is mediated through torsion instead of curvature. We show that, even though, many terms are the same as in the curvature case, we have much richer phenomenology in the teleparallel setting because of the nature of the torsion tensor. Moreover, teleparallel Horndeski contains the standard Horndeski gravity as a subcase and also contains many modified Teleparallel theories considered in the past, such as f (T ) gravity or teleparallel dark energy. Thus, due to the appearance of a new term in the Lagrangian, this theory can explain dark energy without a cosmological constant, may describe a crossing of the phantom barrier, explain inflation and also solve the tension for H0, making it a good candidate for a correct modified theory of gravity.

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“…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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Generalised nonminimally gravity-matter coupled theory

Cited by 28 publications

References 57 publications

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Can Horndeski theory be recast using teleparallel gravity?

Generalized tachyonic teleparallel cosmology

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