Braneworld Teleparallel Gravity

Abstract

We study the gravity in the context of a braneworld teleparallel scenario. The geometrical setup is assumed to be Randall-Sundrum II model where a single positive tension brane is embedded in an infinite AdS bulk. We derive the equivalent of Gauss-Codacci equations in teleparallel gravity and junction conditions in this setup. Using these results we derive the induced teleparallel field equations on the brane. We show that compared to general relativity, the induced field equations in teleparallel gravity contain two extra terms arising from the extra degrees of freedom in the teleparallel Lagrangian. The term carrying the effects of the bulk to the brane is also calculated and its implications are discussed.

7 pages, no figure

References in corpus (4)

• Generalizations of teleparallel gravity and local Lorentz symmetry
• Good and bad tetrads in f(T) gravity
• Anisotropic Universe Models in f(T) Gravity
• Braneworld Remarks in Riemann-Cartan Manifolds

Cited by in corpus (22)

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• Teleparallel Gravity: From Theory to Cosmology
• Effective $F(T)$ gravity from the higher-dimensional Kaluza-Klein and Randall-Sundrum theories
• Null fluid collapse in brane world models
• New holographic reconstruction of scalar field dark energy models in the framework of chameleon Brans-Dicke cosmology
• Domain wall brane in a reduced Born-Infeld-$f(T)$ theory
• Compatibility between the scalar field models of tachyon, $k$-essence and quintessence in $f(R,T)$ gravity
• Universe acceleration in modified gravities: $F(R)$ and $F(T)$ cases
• Cosmological Dynamics of Modified Gravity With a Non-minimal Curvature-matter Coupling
• Configurational Entropy and braneworlds in f(T,B) gravity
• Braneworld setup and embedding in teleparallel gravity
• Phantom-Like Behavior in Modified Teleparallel Gravity
• Generalized Jackiw-Teitelboim gravity in presence of Bloch brane-like models
• Brane cosmology in teleparallel and $f(T)$ gravity
• Teleparallel Gravity in Five Dimensional Theories
• Warped Brane worlds in Critical Gravity
• Braneworld Cosmological Perturbations in Teleparallel Gravity
• The scalar-torsion gravity corrections in the first-order inflationary models
• Cosmological Issues in $F(T)$ Gravity Theory
• Linear Perturbations and Stability Analysis in $f(T)$ Braneworld Scenario
• Thick branes in Born-Infeld determinantal gravity in Weitzenböck spacetime
• Generalization of the Randall-Sundrum Model Using Gravitational Model $F(T,\Theta )$