Maximal acceleration geometries and spacetime curvature bounds
arXiv:1907.00781 · doi:10.1142/S0219887820500607
Abstract
A geometric framework for metrics of maximal acceleration which is applicable to large proper accelerations is discussed, including a theory of connections associated with the geometry of maximal acceleration. In such a framework it is shown that the uniform bound on the proper maximal acceleration implies an uniform bound for certain bilinear combinations of the Riemannian curvature components in the domain of the spacetime where curvature is finite.
arXiv commentMinor corrections; some references added. 28 pages, no figures. Accepted in International Journal of Geometric Methods in Modern Physics
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- Spacetimes of maximal proper acceleration and muon mean lifetime