Noncommutative corrections to classical black holes

Abstract

We calculate leading long-distance noncommutative corrections to the classical Schwarzschild black hole which is sourced by a massive noncommutative scalar field. The energy-momentum tensor is taken up to $\mathcal{O}({\ell }^4)$ in noncommutative parameter, and is treated in semiclassical (tree level) approximation. These noncommutative corrections can dominate classical post-post-Newtonian corrections providing $\ell >1/M_P$, however, they are still too small to be observable in present-day experiments.

5 pages

References in corpus (6)

• A Gravity Theory on Noncommutative Spaces
• Corrections to Schwarzschild Solution in Noncommutative Gauge Theory of Gravity
• Lie algebraic Noncommutative Gravity
• On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
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Cited by in corpus (7)

• Noncommutative Black Hole Thermodynamics
• Non-commutative geometry inspired higher-dimensional charged, black holes
• Noncommutative Schwarzschild Black Hole and Area Law
• Spherically Symmetric Noncommutative Space: d = 4
• Particle-like solutions to classical noncommutative gauge theory
• Noncommutative Corrections to the Robertson-Walker metric
• Particle Classification and Dynamics in GL(2,C) Gravity