Clifford space gravitational field equations and dark energy

Abstract:

We continue with the study of Clifford-space (C-space) gravity and analyze further the C-space generalized gravitational field equations which are obtained from a variational principle based on the generalization of the Einstein-Hilbert-Cartan action. One of the main features is that the C-space connection requires torsion in order to have consistency with the Clifford algebraic structure associated with the curved C-space basis generators. Hence no spin matter is required to induce torsion since it already exists in the vacuum. The field equations in C-spaces associated to a Clifford algebra in D dimensions are not equivalent to the ordinary gravitational equations with torsion in higher 2D dimensions. The most physically relevant conclusion, besides the presence of torsion in the vacuum, is the contribution of the higher grade metric components gμ1μ2ν 1ν2, gμ1μ2μ 3ν1ν2ν3,⋯ of the C-space metric to dark energy/dark matter. © 2013 World Scientific Publishing Company.

Año de publicación:

2013

Keywords:

• extended theories of Gravity
• Clifford spaces
• dark matter
• dark energy
• Clifford algebras

Fuente:

scopus