Noether symmetry in f(T) teleparallel gravity
Noether symmetry in teleparallel f(T) gravity, where T is the torsion scalar, has been studied in the background of RobertsonâWalker spaceâtime. It is found that Noether symmetry admits f(T)âT32 and the associated conserved current is Σ=aaËT12, in matter dominated era. In the process, the recent cl...
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2017-12-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269317308602 |
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doaj-94a76a7d30eb458f85fd5f13be4552482020-11-24T23:23:53ZengElsevierPhysics Letters B0370-26932017-12-01775100104Noether symmetry in f(T) teleparallel gravityNayem Sk0Dept. of Physics, University of Kalyani, West Bengal, 741235, IndiaNoether symmetry in teleparallel f(T) gravity, where T is the torsion scalar, has been studied in the background of RobertsonâWalker spaceâtime. It is found that Noether symmetry admits f(T)âT32 and the associated conserved current is Σ=aaËT12, in matter dominated era. In the process, the recent claim by Wei et al. [1] that Noether symmetry admits f(T)âTn, (where n is an arbitrary constant) is found not to be correct, since the conserved current satisfies the field equations only for a special choice of n=32. Further, correspondence between f(R) and f(T) theories of gravity has also been established. Keywords: f(T) gravity, Canonical formulation, Noether symmetryhttp://www.sciencedirect.com/science/article/pii/S0370269317308602 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nayem Sk |
| spellingShingle |
Nayem Sk Noether symmetry in f(T) teleparallel gravity Physics Letters B |
| author_facet |
Nayem Sk |
| author_sort |
Nayem Sk |
| title |
Noether symmetry in f(T) teleparallel gravity |
| title_short |
Noether symmetry in f(T) teleparallel gravity |
| title_full |
Noether symmetry in f(T) teleparallel gravity |
| title_fullStr |
Noether symmetry in f(T) teleparallel gravity |
| title_full_unstemmed |
Noether symmetry in f(T) teleparallel gravity |
| title_sort |
noether symmetry in f(t) teleparallel gravity |
| publisher |
Elsevier |
| series |
Physics Letters B |
| issn |
0370-2693 |
| publishDate |
2017-12-01 |
| description |
Noether symmetry in teleparallel f(T) gravity, where T is the torsion scalar, has been studied in the background of RobertsonâWalker spaceâtime. It is found that Noether symmetry admits f(T)âT32 and the associated conserved current is Σ=aaËT12, in matter dominated era. In the process, the recent claim by Wei et al. [1] that Noether symmetry admits f(T)âTn, (where n is an arbitrary constant) is found not to be correct, since the conserved current satisfies the field equations only for a special choice of n=32. Further, correspondence between f(R) and f(T) theories of gravity has also been established. Keywords: f(T) gravity, Canonical formulation, Noether symmetry |
| url |
http://www.sciencedirect.com/science/article/pii/S0370269317308602 |
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AT nayemsk noethersymmetryinftteleparallelgravity |
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