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- W2950562904 abstract "A rigorous construction of Clifford-space Gravity is presented which is compatible with the Clifford algebraic structure and permits the derivation of the expressions for the connections with $torsion$ in Clifford spaces ( $C$-spaces). The $ C$-space generalized gravitational field equations are derived from a variational principle based on the extension of the Einstein-Hilbert-Cartan action. We continue by arguing how Lanczos-Lovelock-Cartan higher curvature gravity with torsion can be embedded into gravity in Clifford spaces and suggest how this might also occur for extended gravitational theories based on $ f ( R ), f ( R_{mu nu} ), ... $ actions, for polynomial-valued functions. In essence, the Lanczcos-Lovelock-Cartan curvature tensors appear as Ricci-like traces of certain components of the $ C$-space curvatures. Torsional gravity is related to higher-order corrections of the bosonic string-effective action. In the torsionless case, black-strings and black-brane metric solutions in higher dimensions $ D > 4 $ play an important role in finding specific examples of solutions to Lanczos-Lovelock gravity." @default.
- W2950562904 created "2019-06-27" @default.
- W2950562904 creator A5082970311 @default.
- W2950562904 date "2012-06-01" @default.
- W2950562904 modified "2023-09-25" @default.
- W2950562904 title "Lanczos-Lovelock-Cartan Gravity from Clifford Space Geometry" @default.
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