Abstract
The paper aims to investigate the general properties of pseudo Z-symmetric Lorentzian manifolds with semi-symmetric metric \( \rho \)-connection \( {\bar{\nabla }} \) and examine compatibility conditions. Moreover, such a manifold is applied to general relativity and its physical consequences are given.
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Bağdatlı Yılmaz, H. On pseudo Z-symmetric Lorentzian manifolds admitting a type of semi-symmetric metric connection. Anal.Math.Phys. 13, 87 (2023). https://doi.org/10.1007/s13324-023-00849-z
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DOI: https://doi.org/10.1007/s13324-023-00849-z
Keywords
- Pseudo Z-symmetric Lorentzian manifold
- Lorentzian quasi-Einstein manifold
- GRW space-time
- Compatibility
- Purely electric space-time
- Yang pure space.