General relativity with a topological phase: an action principle

Details General relativity with a topological phase: an action principle General relativity with a topological phase: an action principle

2003-11-18

arxiv.org/abs/hep-th/0311163v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages

Scientific paper

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.

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