Article citationsMore>>

Ho, V.B. (2022) On the Field Equations of General Relativity. Journal of Applied Mathematics and Physics, 10, 49-55.
https://doi.org/10.4236/jamp.2022.101005

has been cited by the following article:

• TITLE: Fourth Rank Energy-Momentum Tensor

  AUTHORS: Vu B. Ho

  KEYWORDS: Fourth Rank Energy-Momentum Tensor, Riemannian Manifold, Riemann Curvature Tensor, Electromagnetic Field, Dirac Field

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.10 No.12, December 28, 2022

  ABSTRACT: In this work, we introduce the new concept of fourth rank energy-momentum tensor. We first show that a fourth rank electromagnetic energy-momentum tensor can be constructed from the second rank electromagnetic energy-momentum tensor. We then generalise to construct a fourth rank stress energy-momentum tensor and apply it to Dirac field of quantum particles. Furthermore, since the established fourth rank energy-momentum tensors have mathematical properties of the Riemann curvature tensor, thus it is reasonable to suggest that quantum fields should also possess geometric structures of a Riemannian manifold.