1. A systematic construction of curved phase space: A gravitational gauge theory with symplectic form
- Author
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Jeffrey S Hazboun and James Thomas Wheeler
- Subjects
Physics ,History ,Introduction to gauge theory ,relativity ,Gravitational gauge theory ,Spacetime ,General relativity ,Five-dimensional space ,Curved phase space ,Computer Science Applications ,Education ,Mathematics of general relativity ,Theoretical physics ,Theory of relativity ,Classical mechanics ,conformal gauge theory ,Biconformal space ,Curved space ,Symplectic geometry - Abstract
General relativity can be constructed as a gauge theory using the quotient manifold strategy of [1, 2]. We consider a conformal gauging where the geometry is far richer than normal spacetime, including a symplectic form and the necessary emergence of Lorentzian signature. The resulting 2n-dim manifold constitutes a relativistic phase space, and general relativity is recovered when we demand that the momentum space is flat. However, the full geometry allows for curved phase space.
- Published
- 2012
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