dc.contributor.advisor | Pope, Christopher N | |
dc.creator | Mujtaba, Abid Hasan | |
dc.date.accessioned | 2013-10-02T21:27:29Z | |
dc.date.available | 2013-10-02T21:27:29Z | |
dc.date.created | 2013-05 | |
dc.date.issued | 2013-01-09 | |
dc.date.submitted | May 2013 | |
dc.identifier.uri | https://hdl.handle.net/1969.1/149262 | |
dc.description.abstract | This Dissertation covers three aspects of General Relativity: inequivalent Einstein metrics on Lie Group Manifolds, proving the Hoop Conjecture for Black Rings, and investigating ergoregions in magnetised black hole spacetimes. A number of analytical and numerical techniques are employed to that end.
It is known that every compact simple Lie Group admits a bi-invariant homogeneous Einstein metric. We use two ansatze to probe the existence of additional inequivalent Einstein metrics on the Lie Group SU (n). We provide an explicit construction of 2k + 1 and 2k inequivalent Einstein metrics on SU (2k) and SU (2k + 1) respectively.
We prove the Hoop Conjecture for neutral and charged, singly and doubly rotating black rings. This allows one to determine whether a rotating mass distribution has an event horizon, that it is in fact a black ring.
We investigate ergoregions in magnetised black hole spacetimes. We show that, in general, rotating charged black holes (Kerr-Newman) immersed in an external magnetic field have ergoregions that extend to infinity near the central axis unless we restrict the charge to q = amB and keep B below a maximal value. Additionally, we show that as B is increased from zero the ergoregion adjacent to the event horizon shrinks, vanishing altogether at a critical value, before reappearing and growing until it is no longer bounded as B becomes greater than the maximal value. | en |
dc.format.mimetype | application/pdf | |
dc.subject | Einstein metrics | en |
dc.subject | SU(n) | en |
dc.subject | Hoop Conjecture | en |
dc.subject | Black Rings | en |
dc.subject | Ergoregions | en |
dc.subject | Kerr-Newman | en |
dc.subject | Melvin | en |
dc.title | Homogeneous Einstein Metrics on SU(n) Manifolds, Hoop Conjecture for Black Rings, and Ergoregions in Magnetised Black Hole Spacetimes | en |
dc.type | Thesis | en |
thesis.degree.department | Physics and Astronomy | en |
thesis.degree.discipline | Physics | en |
thesis.degree.grantor | Texas A&M University | en |
thesis.degree.name | Doctor of Philosophy | en |
thesis.degree.level | Doctoral | en |
dc.contributor.committeeMember | Sezgin, Ergin | |
dc.contributor.committeeMember | Dutta, Bhaskar | |
dc.contributor.committeeMember | Fulling, Stephen | |
dc.type.material | text | en |
dc.date.updated | 2013-10-02T21:27:29Z | |