Gravitation theory in a fractal space-time

Journal Article · Mon May 15 00:00:00 EDT 2006 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.2196747· OSTI ID:20768780

Agop, M; Gottlieb, I ^[1]

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1. 'Gh. Asachi' Department of Physics, Technical University, Blvd. Mangeron, 700029, Iasi (Romania)

Assimilating the physical space-time with a fractal, a general theory is built. For a fractal dimension D=2, the virtual geodesics of this space-time implies a generalized Schroedinger type equation. Subsequently, a geometric formulation of the gravitation theory on a fractal space-time is given. Then, a connection is introduced on a tangent bundle, the connection coefficients, the Riemann curvature tensor and the Einstein field equation are calculated. It results, by means of a dilation operator, the equivalence of this model with quantum Einstein gravity.

• OSTI ID: 20768780
• Journal Information: Journal of Mathematical Physics, Vol. 47, Issue 5; Other Information: DOI: 10.1063/1.2196747; (c) 2006 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CONFIGURATION
EINSTEIN FIELD EQUATIONS
FRACTALS
GEODESICS
GRAVITATION
QUANTUM GRAVITY
RIEMANN SPACE
SCHROEDINGER EQUATION
SPACE-TIME
SYMMETRY BREAKING
TENSORS