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 2^D dimensions. The most physically relevant conclusion, besides the presence of torsion in the vacuum, is the contribution of the higher grade metric components gμ<inf>1</inf>μ<inf>2</inf>ν <inf>1</inf>ν<inf>2</inf>, gμ<inf>1</inf>μ<inf>2</inf>μ <inf>3</inf>ν<inf>1</inf>ν<inf>2</inf>ν<inf>3</inf>,⋯ 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