Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes
High Energy Physics - Theory
2009-04-17 v2 General Relativity and Quantum Cosmology
Abstract
A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant are constructed within the framework of a noncommutative Riemannian geometry developed in an earlier publication. The metrics and curvatures of the quantum Schwarzschild spacetime and the quantum Schwarzschild-de Sitter spacetime are computed. It is shown that up to the second order in the deformation parameter, the quantum spacetimes are solutions of a noncommutative Einstein equation which is proposed in this paper.
Keywords
Cite
@article{arxiv.0809.0614,
title = {Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes},
author = {Ding Wang and R. B. Zhang and Xiao Zhang},
journal= {arXiv preprint arXiv:0809.0614},
year = {2009}
}
Comments
14 pages, final version, to appear in Classical and Quantum Gravity