Instanton representation of Plebanski gravity: A brief summary of the classical theory
Year: 2009
Type: preprint
Abstract: This paper is a self-contained summary of the instanton representation at the classical level. In this paper we show that starting from the Plebanski theory of gravity, one can obtain two theories of gravity. The first theory is the Ashtekar theory and the second is dual to Ashtekar's theory, where the antiself-dual Weyl curvature is the fundamental momentum space variable. We have called this dual theory the instanton representation. We show how the instanton representation leads to the Einstein equations in the same sense as does the original Plebanski theory, modulo the initial value constraints of GR. The canonical analysis, quantization and Hilbert space structure of the theory are covered in separate papers.
Source: arXiv (Cornell University)
Author: Eyo Eyo
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2343595551