Physics – Mathematical Physics
Scientific paper
2010-04-05
Int. J. Theor. Physics 51 (2012) 1338-1359
Physics
Mathematical Physics
latex2e, 11pt, 40 pages with table of content
Scientific paper
10.1007/s10773-011-1010-9
We study the fractional gravity for spacetimes with non-integer dimensions. Our constructions are based on a geometric formalism with the fractional Caputo derivative and integral calculus adapted to nonolonomic distributions. This allows us to define a fractional spacetime geometry with fundamental geometric/physical objects and a generalized tensor calculus all being similar to respective integer dimension constructions. Such models of fractional gravity mimic the Einstein gravity theory and various Lagrange-Finsler and Hamilton-Cartan generalizations in nonholonomic variables. The approach suggests a number of new implications for gravity and matter field theories with singular, stochastic, kinetic, fractal, memory etc processes. We prove that the fractional gravitational field equations can be integrated in very general forms following the anholonomic deformation method for constructing exact solutions. Finally, we study some examples of fractional black hole solutions, fractional ellipsoid gravitational configurations and imbedding of such objects in fractional solitonic backgrounds.
No associations
LandOfFree
Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes 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 Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Fractional Dynamics from Einstein Gravity, General Solutions, and Black Holes will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-637374