Degenerate Solutions of General Relativity from Topological Field Theory

  title={Degenerate Solutions of General Relativity from Topological Field Theory
  author={John C. Baez},
  journal={Communications in Mathematical Physics},
  • J. Baez
  • Published 1998
  • Physics, Mathematics
  • Communications in Mathematical Physics
Abstract:Working in the Palatini formalism, we describe a procedure for constructing degenerate solutions of general relativity on 4-manifold M from certain solutions of 2-dimensional $BF$ theory on any framed surface Σ embedded in M. In these solutions the cotetrad field e (and thus the metric) vanishes outside a neighborhood of Σ, while inside this neighborhood the connection A and the field satisfy the equations of 4-dimensional BF theory. Our construction works in any signature and with any… Expand
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