Topic
Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
Papers published on a yearly basis
Papers
More filters
TL;DR: In this paper, the integrability conditions for the embedding of a d-dimensional world manifold generated by a (d-1)-dimensional extended object in a flat space are examined.
Abstract: The integrability conditions for the embedding of a d-dimensional world manifold generated by a (d-1)-dimensional extended object in a flat space are examined. It is shown that, for the case of non-minimal world manifolds with d>2, these conditions contain the Einstein and Yang-Mills equations as an independent set of equations, where the first and third fundamental forms act as gravitation and gauge fields respectively, while the second fundamental form plays the role of the source field. Using these results the string model of relativity is shown to be compatible with general relativity.
62 citations
TL;DR: In contrast to electromagnetic theory, in general relativity the elimination of acceleration terms in a lagrangian by substituting into the lagrangians the equations of motion which follow from the Lagrangian is a correct procedure; it corresponds to a gauge transformation.
62 citations
62 citations
62 citations
Posted Content•
TL;DR: In this paper, an action principle is described which unifies general relativity and topological field theory, and an additional degree of freedom is introduced and depending on the value it takes the theory has solutions that reduce it to 1) general relativity in Palatini form, 2) general relativistic in Ashtekar form, 3) $F\wedge F$ theory for SO(5) and 4) $BF$ theory (BF$) for SO (5).
Abstract: An action principle is described which unifies general relativity and topological field theory. An additional degree of freedom is introduced and depending on the value it takes the theory has solutions that reduce it to 1) general relativity in Palatini form, 2) general relativity in the Ashtekar form, 3) $F\wedge F$ theory for SO(5) and 4) $BF$ theory for SO(5). This theory then makes it possible to describe explicitly the dynamics of phase transition between a topological phase and a gravitational phase where the theory has local degrees of freedom. We also find that a boundary between adymnamical and topological phase resembles an horizon.
62 citations