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Analytical Expressions for the Hawking Mass in slowly rotating Kerr and Kerr-Newman Space-times
Linköpings universitet, Matematiska institutionen.
2007 (Engelska)Independent thesis Advanced level (degree of Magister), 20 poäng / 30 hpOppgave
Abstract [en]

Penrose's inequality which relates the total mass of a space-time containing a black hole with the area of the event horizon, is a yet unproven condition that is required for the cosmic censorship hypothesis. It is believed that the inequality could be proved by using properties of the Hawking mass. This thesis gives analytical expressions for the Hawking mass in slowly rotating Kerr and Kerr-Newman space-times. It is also shown that the expressions are monotonically increasing, a result that does not contradict Penrose's inequality.

sted, utgiver, år, opplag, sider
Matematiska institutionen , 2007. , s. 41
Emneord [en]
Hawking mass, Penrose's inequality, Newman-Penrose formalism, Nester-Witten integral, Kerr space-time, Kerr-Newman space-time
HSV kategori
Identifikatorer
URN: urn:nbn:se:liu:diva-9246ISRN: LiTH-MAT-EX--07/11--SEOAI: oai:DiVA.org:liu-9246DiVA, id: diva2:23821
Presentation
2007-06-11, Kompakta rummet, B-huset, Linköping, 10:15
Uppsök
fysik/kemi/matematik
Examiner
Tilgjengelig fra: 2007-11-16 Laget: 2007-11-16

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