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General relativity with a topological phase: an action principle

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arxiv hep-th/0311163 v1 pith:AKR5PNJG submitted 2003-11-18 hep-th

Lee Smolin , Artem Starodubtsev This is my paper · ORCID
classification hep-th
keywords theoryphasegeneralrelativitytopologicalactionformfreedom
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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.

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Cited by 4 Pith papers

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  1. Symmetry TFTs for Continuous Spacetime Symmetries

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    Continuous spacetime symmetries can be encoded in a (d+1)-dimensional BF/Chern-Simons topological field theory, whose boundary reproduces symmetry generators, symmetry breaking, and anomalies.

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    A toy model counting pairs of Planckons gives integer black hole entropy, negative white hole entropy, charge-independent Reissner-Nordstrom entropy, and a quantized cosmological constant.

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    hep-th 2025-09 conditional novelty 5.0 of 10

    Constructs AKSZ sandwich SymTFTs with stacky target spaces that encode the center symmetries of Chern-Simons, Yang-Mills, and MacDowell-Mansouri gravity.

  4. Extended Tsallis-Cirto entropy for black and white holes

    gr-qc 2025-05 conditional novelty 4.0 of 10

    White hole entropy is proposed to be minus the black hole entropy of the same mass, and a modified composition rule makes charged black hole entropy depend only on mass.

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