Geodesic Deviation Equation in ΛCDM f ( T , T ) $f(T,\mathcal {T})$ Gravity

Ganiou, M. G.; Salako, Ines G.; Houndjo, M. J. S.; Tossa, J.

doi:10.1007/s10773-016-3025-8

Cited by 14 publications

(6 citation statements)

References 61 publications

(30 reference statements)

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“…In this particular modification, gravitational Lagrangian is composed by the arbitrary function comprising the torsion scalar T and trace τ of the energy-momentum tensor. The f (T, τ ) modification [15][16][17][18][19][20][21][22], explains gravity in a completely different way while compared to other torsion or curvature-based gravity theories, which is formulated from the tetrad field. Two types of tetrads were suggested in [67].…”

Section: Introductionmentioning

confidence: 99%

A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

et al. 2021

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This study is devoted to explore the physical aspects of wormhole geometry under embedded class-1 spacetime in $$f(T,\tau )$$ f ( T , τ ) gravity, where $$\tau $$ τ denotes the trace of the energy-momentum tensor and T is the torsion. We derive the embedded class-1 solutions by considering spherically symmetric static spacetime. The shape function is calculated in the framework of embedded class-1 spacetime. It is necessary to mention here that the calculated shape function can be used in other modified theories of gravity. To complete this study, we take diagonal and off-diagonal tetrad, and try to build a comparison by considering the validity region of energy conditions in embedded class-1 spacetime. The embedded surface diagram is given to understand the connection between the two different regions of spacetime. The validity regions of all the energy conditions are calculated. A detailed graphical analysis is provided for validity regions of all the energy conditions. The presence of exotic matter is confirmed in both the cases as the null energy condition is violated.

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Section: Introductionmentioning

confidence: 99%

A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

et al. 2021

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“…(vi) In a similar way, Equations (66) and (67) indicate that the Cracking condition depends on the coupling matter-geometry parameter and c 1 . If 0 ≤ c 1 ≤ 1 3 then we have −1…”

Section: A Comparison Study Between F (T T ) Gravity and Standard Grmentioning

confidence: 91%

“…We note from literature survey that almost all the works under the background of f (T, T ) gravity have been performed in different cosmological context [62][63][64][65][66][67][68][69][70][71][72][73]. However, there are a few astrophysical applications of f (T, T ) gravity as can be found in the works of Pace and Said [74,75].…”

Section: Introductionmentioning

confidence: 99%

Study on Anisotropic Strange Stars in f ( T , T ) Gravity

Salako

Khlopov

Ray³

et al. 2020

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In this work, we study the existence of strange stars in the background of f(T,T) gravity in the Einstein spacetime geometry, where T is the torsion tensor and T is the trace of the energy-momentum tensor. The equations of motion are derived for anisotropic pressure within the spherically symmetric strange star. We explore the physical features like energy conditions, mass-radius relations, modified Tolman–Oppenheimer–Volkoff (TOV) equations, principal of causality, adiabatic index, redshift and stability analysis of our model. These features are realistic and appealing to further investigation of properties of compact objects in f(T,T) gravity as well as their observational signatures.

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“…Thus, a new possibility of modified teleparallel gravity arose, namely, f (T, T ) gravity [48]. This new modified gravity model has gained a lot of attention recently due significant results obtained in cosmological perturbations and thermodynamics [48][49][50][51][52][53][54][55][56]. Also, interesting astrophysical applications [57][58][59][60], new developments in dark energy [61,62], and in a viable alternative to black hole (called Gravstar) [63], were obtained through ideas of f (T, T ) gravity.…”

Section: Introductionmentioning

confidence: 99%

First-order formalism for thick branes in $$f(T,{\mathscr {T}})$$ gravity

et al. 2021

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In this paper we study the thick brane scenario constructed in the recently proposed $$f(T,{\mathscr {T}})$$ f ( T , T ) theories of gravity, where T is called the torsion scalar and $${\mathscr {T}}$$ T is the trace of the energy–momentum tensor. We use the first-order formalism to find analytical solutions for models that include a scalar field as a source. In particular, we describe two interesting case in which in the first we obtain a double-kink solution, which generates a splitting in the brane. In the second case, proper management of a kink solution obtained generates a splitting in the brane intensified by the torsion parameter, evinced by the energy density components satisfying the weak and strong energy conditions. In addition, we investigate the behavior of the gravitational perturbations in this scenario. The parameters that control the torsion and the trace of the energy–momentum tensor tend to shift the massive modes to the core of the brane, keeping a gapless non-localizable and stable tower of massive modes and producing more localized massless modes.

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Geodesic Deviation Equation in ΛCDM f ( T , T ) $f(T,\mathcal {T})$ Gravity

Cited by 14 publications

References 61 publications

A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

A study of traversable wormhole solutions in extended teleparallel theory of gravity with matter coupling

Study on Anisotropic Strange Stars in f ( T , T ) Gravity

First-order formalism for thick branes in $$f(T,{\mathscr {T}})$$ gravity

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