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Revisiting Effective Einstein Equations on a 3-Brane in the Presence of Torsion

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Abstract

The effective Einstein equations on a 3-brane embedded in a 5-dimensional Riemann–Cartan bulk space-time are revisited. Addressing the shortcomings in the hitherto published junction conditions on the brane in the presence of torsion, we have elaborated on our general form of the junction conditions recently published. Applying our general junction conditions, we formulate the effective Einstein equations on a \(Z_{2}\) symmetric brane in a standard form highlighting the difference to those published so far.

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Authors and Affiliations

  1. Nuclear Science and Technology Research Institute (NSTRI), Tehran, Iran

    S. Khakshournia

  2. Department of Physics, Sharif University of Technology, Tehran, Iran

    R. Mansouri

  3. School of Astronomy, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran

    R. Mansouri

Authors
  1. S. Khakshournia
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  2. R. Mansouri
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Correspondence to S. Khakshournia or R. Mansouri.

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The authors declare that they have no conflicts of interest.

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Khakshournia, S., Mansouri, R. Revisiting Effective Einstein Equations on a 3-Brane in the Presence of Torsion. Gravit. Cosmol. 29, 220–226 (2023). https://doi.org/10.1134/S020228932303009X

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  • DOI: https://doi.org/10.1134/S020228932303009X

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