Gravitational non-commutativity and Gödel-like spacetimes

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dc.contributor.authorDas, Saurya
dc.contributor.authorGegenberg, Jack
dc.date.accessioned2016-01-25T20:14:19Z
dc.date.available2016-01-25T20:14:19Z
dc.date.issued2016-01-25
dc.descriptionSherpa Romeo green journal. Permission to archive author manuscript.en_US
dc.description.abstractWe derive general conditions under which geodesics of stationary spacetimes resemble trajectories of charged particles in an electromagnetic field. For large curvatures (analogous to strong magnetic fields), the quantum mechanicical states of these particles are confined to gravitational analogs of lowest Landau levels. Furthermore, there is an effective non-commutativity between their spatial coordinates. We point out that the Som-Raychaudhuri and G¨odel spacetime and its generalisations are precisely of the above type and compute the effective non-commutativities that they induce. We show that the non-commutativity for G¨odel spacetime is identical to that on the fuzzy sphere. Finally, we show how the star product naturally emerges in Som-Raychaudhuri spacetimes.en_US
dc.description.peer-reviewNoen_US
dc.identifier.citationDas, S., & Gegenberg, J. (2008). Gravitational con-commutativity and Gödel-like spacetimes. General Relativity and Gravitation, 40(10), 2115-2129. doi: 10.1007/s10714-008-0619-3
dc.identifier.urihttps://hdl.handle.net/10133/3959
dc.language.isoen_CAen_US
dc.publisher.departmentDepartment of Physicsen_US
dc.publisher.facultyArts and Scienceen_US
dc.publisher.institutionUniversity of Lethbridgeen_US
dc.publisher.institutionUniversity of New Brunswicken_US
dc.publisher.urlhttps://doi.org/10.1007/s10714-008-0619-3
dc.subjectNon-commutative geometryen_US
dc.subjectMatrix modelsen_US
dc.subjectNon-perturbative effectsen_US
dc.subjectGödel spacetimeen_US
dc.titleGravitational non-commutativity and Gödel-like spacetimesen_US
dc.typeArticleen_US
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