Off-Diagonal 5D Metrics and Mass Hierarchies with Anisotropies and Running Constants

Details Off-Diagonal 5D Metrics and Mass Hierarchies with Anisotropies and Running Constants Off-Diagonal 5D Metrics and Mass Hierarchies with Anisotropies and Running Constants

2001-06-25

arxiv.org/abs/hep-ph/0106268v3

Chapter 7 in: "Clifford and Riemann Finsler Structures in Geometric Mechanics and Gravity, Selected Works by S. Vacaru, P. Sta

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex 5 pages, version 3: new references and modification of solutions

Scientific paper

The gravitational equations of the three dimensional (3D) brane world are investigated for both off-diagonal and warped 5D metrics which can be diagonalized with respect to some anholonomic frames when the gravitational and matter fields dynamics are described by mixed sets of holonomic and anholonomic variables. We construct two new classes of exact solutions of Kaluza-Klein gravity which generalize the Randall-Sundrum metrics to configurations with running on the 5th coordinate gravitational constant and anisotropic dependencies of effective 4D constants on time and/or space variables. We conclude that by introducing gauge fields as off-diagonal components of 5D metrics, or by considering anholonomic frames modelling some anisotropies in extra dimension spacetime, we induce anisotropic tensions (gravitational polarizations) and running of constants on the branes. This way we can generate the TeV scale as a hierarchically suppressed anisotropic mass scale and the Newtonian and general relativistic gravity are reproduced with adequate precisions but with corrections which depend anisotropically on some coordinates.

Affiliated with

Also associated with

No associations

Rating

Off-Diagonal 5D Metrics and Mass Hierarchies with Anisotropies and Running Constants does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Off-Diagonal 5D Metrics and Mass Hierarchies with Anisotropies and Running Constants, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Off-Diagonal 5D Metrics and Mass Hierarchies with Anisotropies and Running Constants will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-194087