Scalar-tensor teleparallel wormholes by Noether symmetries

In this paper, we investigate the effect of the Generalized Uncertainty Principle (GUP) in the Casimir wormhole spacetime recently proposed by Garattini [Eur. Phys. J. C (2019) 79: 951]. In particular, we consider three types of the GUP relations, firstly the Kempf, Mangano and Mann (KMM) model, secondly the Detournay, Gabriel and Spindel (DGS) model, and finally the so called type II model for GUP principle. To this end, we consider three specific models of the redshift function along with two different EoS of state given by P r (r) = ω r (r)ρ(r) along with P t (r) = ω t (r)P r (r) and obtain a class of asymptotically flat wormhole solutions supported by Casimir energy under the effect of GUP. Furthermore we check the null, weak, and strong condition at the wormhole throat with a radius r 0 , and show that in general the classical energy condition are violated by some arbitrary quantity at the wormhole throat. Importantly, we examine the wormhole geometry with semi-classical corrections via embedding diagrams. We also consider the ADM mass of the wormhole, the volume integral quantifier to calculate the amount of the exotic matter near the wormhole throat, and the deflection angle of light.

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“…where F is given by Eq. (42). On the other hand for the tangential component of the pressure we find the following result…”

Section: Energy Conditionsmentioning

confidence: 53%

Traversable wormholes supported by GUP corrected Casimir energy

2020

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“…Remembering here that the ordinary matter is not included in the field equations, i.e., ρ = p r = p t = 0. Therefore, we are not expecting that the conservation equation (31) or (32) due to the dark sector of the universe has the usual form.…”

Section: The Point-like Lagrangianmentioning

confidence: 99%

“…Still, there are few exact spherically symmetric solutions in modified Teleparallel gravity. Different authors have studied stars and wormholes in different Teleparallel theories [27,[31][32][33][34]. In [20,35], the authors found some vacuum exact solutions in f (T ) gravity, however, they imposed T = constant, which is nothing but consider GR plus a cosmological constant.…”

Section: Introductionmentioning

confidence: 99%

“…A consequent process with regard to the first integrals due to the Noether symmetries allows achieving exact solutions of the dynamical equations for the gravity theory. This theorem has been widely used in different contexts of modified gravity for obtaining exact solutions [32,35,[43][44][45][46][47][48][49][50][51][52][53]. Our main aim is to use the Noether's symmetry approach to select the form of f and then use the conserved charges to be able to solve the field equations and then obtain exact spherically symmetric solutions.…”

Section: Introductionmentioning

confidence: 99%

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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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“…In addition, these symmetries could also help us in reducing the dynamics of a system and thus find exact solutions more easily. This method has been extensively used in the literature, both in cosmological and astrophysical scales [26][27][28][29][30][31][32][33][34][35][36]. Some cosmological paradigms such as quintessence and phantom ones can be recovered in the framework of f (R, G) theories of gravity [37].…”

Section: Introductionmentioning

confidence: 99%

Exact Spherically Symmetric Solutions in Modified Gauss–Bonnet Gravity from Noether Symmetry Approach

Bahamonde

Dialektopoulos

Camcı³

2020

Symmetry

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It is broadly known that Lie point symmetries and their subcase, Noether symmetries, can be used as a geometric criterion to select alternative theories of gravity. Here, we use Noether symmetries as a selection criterion to distinguish those models of f ( R , G ) theory, with R and G being the Ricci and the Gauss–Bonnet scalars respectively, that are invariant under point transformations in a spherically symmetric background. In total, we find ten different forms of f that present symmetries and calculate their invariant quantities, i.e., Noether vector fields. Furthermore, we use these Noether symmetries to find exact spherically symmetric solutions in some of the models of f ( R , G ) theory.

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Scalar-tensor teleparallel wormholes by Noether symmetries

Cited by 101 publications

References 57 publications

Traversable wormholes supported by GUP corrected Casimir energy

Traversable wormholes supported by GUP corrected Casimir energy

Exact Spherically Symmetric Solutions in Modified Teleparallel Gravity

Exact Spherically Symmetric Solutions in Modified Gauss–Bonnet Gravity from Noether Symmetry Approach

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