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Energy content, centre of mass and Dirac spin of cylindrically rotating solution in the teleparallel gravity

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Abstract

In the scope of teleparallel equivalent to general relativity, we are interested in finding the energy–momentum and its suitable quantities of cylindrically axially symmetric rotating (CASR) space–time. We obtain the formulations for the torsion vector, torsion axial-vector, angular momentum and gravitational centre of mass in CASR solutions. We have investigated the gravitational energy–momentum, gravitational flux and matter flux of the space–time. The vector part connected with Dirac spin has been estimated as well. Finally, a special case of the solution are discussed.

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Acknowledgements

The authors are thankful to learned anonymous referees for their valuable comments which improved the quality of the manuscript. Thanks are also due to Prof. R M Gad, Minia University and Prof. A H Hasmani, Sardar Patel University for valuable suggestions for the improvement of the manuscript.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Minia University, Minia, Egypt

    M Abdelgaber & M F Mourad

  2. Department of Mathematics, Sardar Patel University, Vallabh Vidyanagar, Anand, 388 120, India

    Ravi Panchal

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  1. M Abdelgaber
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  2. M F Mourad
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  3. Ravi Panchal
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Correspondence to M F Mourad.

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Abdelgaber, M., Mourad, M.F. & Panchal, R. Energy content, centre of mass and Dirac spin of cylindrically rotating solution in the teleparallel gravity. Pramana - J Phys 97, 193 (2023). https://doi.org/10.1007/s12043-023-02671-5

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  • DOI: https://doi.org/10.1007/s12043-023-02671-5

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