Energy in an expanding universe in the teleparallel geometry

Sousa, A. A.; Moura, J. S.; Pereira, R. B.

doi:10.1590/s0103-97332010000100001

Cited by 11 publications

(5 citation statements)

References 27 publications

(45 reference statements)

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“…In this paper we would like to investigate thick brane solutions caused by the spacetime torsion. An applicable theory is the teleparallel equivalent of General Relativity (TEGR) [32][33][34][35][36][37] which instead of using the curvature defined via the Levi-Civita connection, it uses the Weitzenböck connection that has no curvature but only torsion. This theory allows us to interpret general relativity as a gauge theory for a translation group.…”

Section: Introductionmentioning

confidence: 99%

Thick brane split caused by spacetime torsion

Yang

Zhong

et al. 2012

Phys. Rev. D

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In this paper we apply the five-dimensional fðTÞ gravity with fðTÞ ¼ T þ kT n to brane scenario to explore the solutions under a given warp factor, and we find that the analytic domain wall solution will be a double-kink solution when the geometric effect of spacetime torsion is strongly enhanced. We also investigate the localization of fermion fields on the split branes corresponding to the double-kink solution.

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Section: Introductionmentioning

confidence: 99%

Thick brane split caused by spacetime torsion

Yang

Zhong

et al. 2012

Phys. Rev. D

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“…Koneksi ini merupakan suatu koneksi yang memiliki kelengkungan sama dengan nol dan torsi tidak sama dengan nol, yang merupakan koneksi metrik relatif terhadap metrik yang dikonstruksi dari tetrad. Secara umum, suatu koneksi Weitzenbӧck dibangun dari medan tetrad ( ) dan suatu koneksi spin [9].…”

Section: Gravitasi Teleperallelunclassified

“…Kesetaraan antara gravitasi teleparallel dan gravitasi Einstein dapat dilihat berdasarkan kesamaan bentuk aksi kedua teori gravitasi tersebut yang berbeda hanya pada suku permukaan. Rapat Lagrangan bagi gravitasi teleparallel [2,9] dapat dinyatakan sebagai…”

Section: Gravitasi Teleperallelunclassified

GRAVITASI: GAYA vs. GEOMETRI

Yasmini

2021

IPR

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Perdebatan mengenai hakekat gravitasi masih banyak dibahas oleh para fisikawan hingga saat ini. Apakah gravitasi merupakan suatu medan gaya yang eksis dalam ruangwaktu atau suatu manifestasi geometri ruangwaktu. Di satu pihak, gravitasi dipandang sebagai suatu medan gaya yang dihasilkan oleh distribusi materi dan energi dalam ruang sebagai sumber medan tersebut. Di pihak lain, gravitasi dipandang sebagai manifestasi geometri ruangwaktu yang dibentuk oleh distribusi materi dan energi, dan sebaliknya, distribusi materi dan energi di dalam ruangwaktu dipengaruhi oleh geometri ruangwaktu itu. Salah dua dari banyak teori gravitasi yang ada, yakni: gravitasi Einstein dan gravitasi teleparallel. Dalam teori gravitasi Einstein, gravitasi dan inersia digabungkan menjadi satu entitas tunggal yang secara geometrik diidentifikasi dengan koneksi Levi-Civita. Sedangkan, dalam gravitasi teleparallel, gravitasi dan inersia terpisah dengan dua entitas yang berbeda dengan makna yang berbeda. Gravitasi dipandang sebagai medan gaya (interaksi) pada ruangwaktu, sedangkan inersia dipandang sebagai geometri ruangwaktu.

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“…It is well known that general relativity (GR) is a theory of gravity with only curvature. In 1928, Einstein established a gravitational theory with only torsion in spacetime in order to unify gravitational interaction and electromagnetic interaction, called Teleparallel Equivalence of General Relativity (TEGR) [52,53]. It is in fact equivalent to GR, based on the fact that torsion scalar T differs from the Ricci scalar R only by a boundary term.…”

Section: Introductionmentioning

confidence: 99%

Gravitational resonances on f(T)-branes

et al. 2021

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In this work, we investigate the gravitational resonances in various f(T)-brane models with the warp factor $$\text {e}^{A(y)}=\tanh \big (k(y+b)\big )-\tanh \big (k(y-b)\big )$$ e A ( y ) = tanh ( k ( y + b ) ) - tanh ( k ( y - b ) ) , where f(T) is an arbitrary function of the torsion scalar T. For three kinds of f(T), we give the solutions to the system. Besides, we consider the tensor perturbation of the vielbein and obtain the effective potentials by the Kaluza–Klein (KK) decomposition. Then we analyze what kind of effective potential can produce the gravitational resonances. The effects of different parameters on the gravitational resonances are analyzed. The lifetimes of the resonances could be long enough as regards the age of our universe in some ranges of the parameters. This indicates that the gravitational resonances might be considered as one of the candidates for dark matter. Combining the current experimental observations, we constrain the parameters for these brane models.

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Energy in an expanding universe in the teleparallel geometry

Cited by 11 publications

References 27 publications

Thick brane split caused by spacetime torsion

Thick brane split caused by spacetime torsion

GRAVITASI: GAYA vs. GEOMETRI

Gravitational resonances on f(T)-branes

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