General Relativity by Kawaguchi geometry
1 Department of Mathematics, Torino University, via Carlo Alberto 10, 10123 Torino, Italy
2 Department of Algebra and Geometry, Faculty of Science, Palacky University, 17. listopadu 12, 771 46 Olomouc, Czech Republic
3 Physics Department, Ochanomizu University, 2-1-1 Ootsuka Bunkyo, Tokyo, Japan
a e-mail: firstname.lastname@example.org
Published online: 5 September 2013
We construct a parameterisation invariant Lagrange theory of fields up to second order by using multivector bundles and Kawaguchi geometry. In this setup, the spacetime is an dynamical object which is a submanifold of the greater manifold, and the actual spacetime is the solution of Euler-Lagrange equations. Such theory is a reasonable mathematical foundation to describe an extended theory of Einstein’s general relativity, and is capable of being a stage for unification with other physical fields.
© Owned by the authors, published by EDP Sciences, 2013
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