Teleparallel gravity: Effects of torsion in 6D braneworlds

Moreira, A. R. P.; Silva, J. E. G.; Almeida, C. A. S.

doi:10.1142/s0218271821501030

Cited by 7 publications

(6 citation statements)

References 45 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…By varying the non-quadratic parameter, the brane undergoes a splitting transition [43][44][45]. Similar results were found considering f (T, B) dynamics and f (T ) in six dimensions [46,47]. Recently, an STEGR f (Q) braneworld has been proposed in Ref.…”

Section: Introductionsupporting

confidence: 73%

Braneworlds in $f(Q)$ gravity

Silva,

Maluf,

Olmo

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

We propose a braneworld scenario in a modified symmetric teleparallel gravitational theory, where the dynamics for the gravitational field is encoded in the nonmetricity tensor rather than in the curvature. Assuming a single real scalar field with a sine-Gordon self-interaction, the generalized quadratic nonmetricity invariant Q controls the brane width while keeping the shape of the energy density. By considering power corrections of the invariant Q in the gravitational Lagrangian, the sine-Gordon potential is modified exhibiting new barriers and false vacuum. As a result, the domain wall brane obtains an inner structure, and it undergoes a splitting process. In addition, we also propose a non-minimal coupling between a bulk fermion field and the nonmetricity invariant Q. Such geometric coupling leads to a massless chiral fermion bound to the 3-brane and a stable tower of non-localized massive states.

show abstract

Section: Introductionsupporting

confidence: 73%

Braneworlds in $f(Q)$ gravity

Silva,

Maluf,

Olmo

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

show abstract

“…By varying the nonquadratic parameter, the brane undergoes a splitting transition [43][44][45]. Similar results were found considering fðT; BÞ dynamics and fðTÞ in six dimensions [46,47]. Recently, an STEGR fðQÞ braneworld has been proposed in Ref.…”

Section: Introductionsupporting

confidence: 75%

Braneworlds in f(Q) gravity

et al. 2022

Self Cite

View full text Add to dashboard Cite

We propose a braneworld scenario in a modified symmetric teleparallel gravitational theory, where the dynamics for the gravitational field is encoded in the nonmetricity tensor rather than in the curvature. Assuming a single real scalar field with a sine-Gordon self-interaction, the generalized quadratic nonmetricity invariant Q controls the brane width while keeping the shape of the energy density. By considering power corrections of the invariant Q in the gravitational Lagrangian, the sine-Gordon potential is modified exhibiting new barriers and false vacuum. As a result, the domain wall brane obtains an inner structure, and it undergoes a splitting process. In addition, we also propose a nonminimal coupling between a bulk fermion field and the nonmetricity invariant Q. Such geometric coupling leads to a massless chiral fermion bound to the 3-brane and a stable tower of nonlocalized massive states.

show abstract

“…is obeyed. Here, we assume the transverse-traceless (TT) metric gauge satisfies the following condition which guarantees a sechsbein gauge δ µ a w a µ = 0 [48,49]. These conditions lead us to δh = 0, δT = 0 and B = 0.…”

Section: Gravitational Perturbations and Localizationmentioning

confidence: 99%

“…In a six-dimensional model, little is known about the influence of the modification of gravity in the brane scenario. Moreira et al, showed that the modification of the gravity f (T ) can cause the split in the string-like brane, generating a ring-like structure, besides causing modifications in the gravitational perturbations [48,49].…”

Section: Introductionmentioning

confidence: 99%

String-like brane splitting in the context of f(T, B) gravity

Moreira

Almeida

2023

Preprint

View full text Add to dashboard Cite

In this work, the influence of the boundary term B is analyzed in a string-like thick brane scenario in the gravity context f(T, B). For that, three models of f(T, B) are proposed, i. e., f1(T, B) = T + kBn, f2(T, B) = T + k(−T + B)n and f3(T, B) = T + k1T2 + k2B2, where n, k and k1,2 are parameters that control the deviation from the usual teleparallelism. The first relevant result obtained was the appearance of a super-located tower in the core for energy density. Furthermore, the greater the influence of the boundary term, the new maximums and minimums appear in the energy density. All this indicates the emergence of capable structures from split to the brane. The second relevant result was obtained by analyzing the gravitational perturbations, where the effective potential presents the supersymmetric form of quantum mechanics, leading to well-localized massless modes.

show abstract

Teleparallel gravity: Effects of torsion in 6D braneworlds

Cited by 7 publications

References 45 publications

Braneworlds in $f(Q)$ gravity

Braneworlds in $f(Q)$ gravity

Braneworlds in f(Q) gravity

String-like brane splitting in the context of f(T, B) gravity

Contact Info

Product

Resources

About