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arXiv · 0809.0614

Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes

Ding Wang·R. B. Zhang·Xiao Zhang
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Abstract

A quantum Schwarzschild spacetime and a quantum Schwarzschild-de Sitter spacetime with cosmological constant $Λ$ 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.

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Ding Wang, R. B. Zhang, Xiao Zhang. 2009-03-05. Quantum deformations of Schwarzschild and Schwarzschild-de Sitter spacetimes. https://doi.org/10.1088/0264-9381%2F26%2F8%2F085014

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