General relativity with a topological phase: an action principle

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.

8 pages

Cited by in corpus (31)

• The Spin Foam Approach to Quantum Gravity
• Setting the boundary free in AdS/CFT
• An Exceptionally Simple Theory of Everything
• Quantum gravity in terms of topological observables
• Gauged AdS-Maxwell algebra and gravity
• Observables in the Turaev-Viro and Crane-Yetter models
• Classical general relativity as BF-Plebanski theory with linear constraints
• Particles as Wilson lines of gravitational field
• A Zero-Parameter Extension of General Relativity with Varying Cosmological Constant
• A Quantum Gravitational Relaxation of The Cosmological Constant
• Loop Quantum Gravity Phenomenology: Linking Loops to Observational Physics
• A note on gravity, entropy, and BF topological field theory
• Effective particle kinematics from Quantum Gravity
• AdS--Maxwell superalgebra and supergravity
• Generalizing the Kodama State II: Properties and Physical Interpretation
• Doubly Special Relativity as a Limit of Gravity
• An action for higher spin gauge theory in four dimensions
• On the perturbative expansion of a quantum field theory around a topological sector
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• Yang-Mills Interactions and Gravity in Terms of Clifford Algebra
• In Search of Quantum de Sitter Space: Generalizing the Kodama State
• Supergravity as a constrained BF theory
• Can we see gravitational collapse in (quantum) gravity perturbation theory?
• Deformed BF theory as a theory of gravity and supergravity
• Quantum Gravity as a Broken Symmetry Phase of a BF Theory
• Symmetries and observables in topological gravity
• Clifford bundle formulation of BF gravity generalized to the standard model
• Constraint Analysis of Two-Dimensional Quadratic Gravity from BF Theory
• Generalized Gauge Theories with Nonunitary Parallel Transport: General Relativity with Cosmological Constant as an Example
• Three-dimensional gravity and deformations of relativistic symmetries
• Anti-de Sitter space from supersymmetric gauge theory