Work

Reduced Phase Space Quantization of Ashtekar’s Gravity on a De Sitter Background

Year: 1995

Type: article

Abstract: We solve perturbative constraints and eliminate gauge freedom for Ashtekar’s gravity on a de Sitter background. We show that the reduced phase space consists of transverse, traceless, symmetric fluctuations of the triad and transverse, traceless, symmetric fluctuations of the connection. A part of the gauge freedom corresponding to the conformal Killing vectors of the three-manifold can be fixed only by imposing conditions on the Lagrange multiplier. The reduced phase space is equivalent to that of ADM gravity on the same background.

Source: International Journal of Modern Physics D

DOI: 10.1142/s0218271895000405

Authors: IGNATI GRIGENTCH, D.V. VASSILEVICH

Institutions: Continuous Electron Beam Accelerator Facility, Old Dominion University, St Petersburg University

Language: English

Topic: Noncommutative and Quantum Gravity Theories

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1993429486

FWCI: 0.89

Cites: 3

Cited by: 3

Related to: 10