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Gallot, S., Hulin, D. and Lafontaine, J. (2004) Riemannian Geometry. 3rd Edition, Springer-Verlag, Berlin.
https://doi.org/10.1007/978-3-642-18855-8

has been cited by the following article:

• TITLE: Space-Energy Duality Generalized 4-Index Einstein Field Equation

  AUTHORS: Mahgoub A. Salih

  KEYWORDS: Einstein Field Equation, Trace-Free Einstein Equation, 4-Index, Cosmological Constant

  JOURNAL NAME: International Journal of Astronomy and Astrophysics, Vol.13 No.4, December 21, 2023

  ABSTRACT: The introduction of a new concept of space-energy duality serves to extend the applicability of the Einstein field equation in the context of a 4-index framework. The utilization of the Weyl tensor enables the derivation of Einstein’s equations in the 4-index format. Additionally, a two-index field equation is presented, comprising a conventional Einstein field equation and a trace-free Einstein equation. Notably, the cosmological constant is associated with a novel concept that facilitates the encoding of space and energy information, thereby enabling the recognition of mutual interactions between space and energy in the presence of gravitational forces, as dictated by Einstein’s field equations (EFE) and Trace-Free Einstein Equation (TFE).