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Black Hole Greybody Factors in a Non-commutative Space-time
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- Author / Creator
- Cox, Zachary K
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Non-commutative geometries motivated by string theory have enabled calculations of black hole properties distinctly different from those of classical gravity, such as a finite maximum temperature and a minimum mass, and horizon radius at which Hawking evaporation may terminate. In this thesis, we investigate the greybody factors arising from higher dimensional spherically symmetric and static black holes in non-commutative geometry inspired space-times.
Greybody factors are computed for massless fields of spin 0, 1/2, 1 and 2 on the brane, and spin 0 and 2 in the bulk emitted from higher dimensional non-commutative geometry inspired black holes. The results are compared to the commutative cases. The Teukolsky equation describing the various field perturbations is decoupled into angular and radial parts. The radial equation is cast into the form of a one-dimensional Schrodinger-like equation with an effective short-ranged potential barrier. We use the product calculus formalism of path-ordered exponentials to numerically compute the transmission coefficients. The corresponding absorption cross sections and emission spectra are also presented. The results presented here will be useful in Monte Carlo simulations required for searches of microscopic non-commutative black holes produced in proton-proton collisions, such as those with the ATLAS and CMS experiments at the Large Hadron Collider. -
- Subjects / Keywords
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- Graduation date
- Fall 2024
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- Type of Item
- Thesis
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- Degree
- Master of Science
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- License
- This thesis is made available by the University of Alberta Library with permission of the copyright owner solely for non-commercial purposes. This thesis, or any portion thereof, may not otherwise be copied or reproduced without the written consent of the copyright owner, except to the extent permitted by Canadian copyright law.