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Gravitational energy–momentum and gravitational flux of cylindrically rotating solution in the teleparallel gravity

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Abstract

In the framework of teleparallel equivalent to general relativity, we study the energy–momentum and its relevant quantities of cylindrically axially symmetric rotating (CASR) space time. We calculate the gravitational energy–momentum and gravitation energy–momentum flux of the derived solution. We show that in specific cases, our results coincide with what the results derived before in general relativity.

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Notes

  1. Here the Greek indices \(\mu , \nu , \lambda , \ldots \) have the range \(0, \ldots , 3,\) and denote to tensor indices, i.e., indices related to space–time; Latin indices \(a, b, c, \ldots ,\) have the range \(0, \ldots , 3,\) will be used to denote local Lorentz (or tangent space) indices.

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Acknowledgements

We thank G G L Nashed, the British University in Egypt, and R M Gad, Minia University, for interesting comments.

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  1. Mathematics Department, Faculty of science, Minia University, El Minia, Egypt

    M. F. Mourad

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  1. M. F. Mourad
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Correspondence to M. F. Mourad.

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Mourad, M.F. Gravitational energy–momentum and gravitational flux of cylindrically rotating solution in the teleparallel gravity. Indian J Phys 93, 1233–1239 (2019). https://doi.org/10.1007/s12648-019-01387-w

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