The Ashtekar Variables and a Varying Cosmological Constant from Dynamical Chern-Simons Gravity
Stephon Alexander, Tatsuya Daniel, Joao Magueijo
TL;DR
This paper explores how dynamical Chern-Simons gravity modifies the Kodama state in quantum gravity, revealing a new exact solution that encodes a varying cosmological constant through the Pontryagin term.
Contribution
It introduces a novel exact solution to the Wheeler-DeWitt equation incorporating dynamical Chern-Simons gravity, linking the Pontryagin term to a variable cosmological constant.
Findings
Found a new exact solution to the Wheeler-DeWitt equation.
Demonstrated how the Pontryagin term modifies the Kodama state.
Linked the dynamical Chern-Simons term to a varying cosmological constant.
Abstract
We revisit the Kodama state by quantizing the theory of General Relativity (GR) with dynamical Chern-Simons (dCS) gravity. We find a new exact solution to the Wheeler-DeWitt equation where the Pontryagin term induces a modification in the Kodama state from quantizing GR alone. The dCS modification directly encodes the variation of the cosmological constant.
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Taxonomy
TopicsCosmology and Gravitation Theories · Noncommutative and Quantum Gravity Theories · Quantum Electrodynamics and Casimir Effect