Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-10-14
Chapter 2 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 - Theory
Latex2e, 51 pages, v2 with grammar corrections
Scientific paper
The anholonomic frame method is generalized for non--Riemannian gravity models defined by string corrections to the general relativity and metric-affine gravity (MAG) theories. Such spacetime configurations are modeled as metric-affine spaces provided with generic off-diagonal metrics (which can not be diagonalized by coordinate transforms) and anholonomic frames with associated nonlinear connection (N-connection) structure. We investigate the field equations of MAG and string gravity with mixed holonomic and anholonomic variables. There are proved the main theorems on irreducible reduction to effective Einstein-Proca equations with respect to anholonomic frames adapted to N-connections. String corrections induced by the antisymmetric H-fields are considered. There are also proved the theorems and criteria stating a new method of constructing exact solutions with generic off-diagonal metric ansatz depending on 3-5 variables and describing various type of locally anisotropic gravitational configurations with torsion, nonmetricity and/or generalized Finsler-affine effective geometry. We analyze solutions, generated in string gravity, when generalized Finsler-affine metrics, torsion and nonmetricity interact with three dimensional solitons.
Gaburov Evghenii
Gontsa Denis
Vacaru Sergiu I.
No associations
LandOfFree
A Method of Constructing Off-Diagonal Solutions in Metric-Affine and String Gravity 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 A Method of Constructing Off-Diagonal Solutions in Metric-Affine and String Gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A Method of Constructing Off-Diagonal Solutions in Metric-Affine and String Gravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-428560