Analytical Expressions for the Hawking Mass in slowly rotating Kerr and Kerr-Newman Space-times
Independent thesis Advanced level (degree of Magister), 20 points / 30 hpStudent thesis
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.
Place, publisher, year, edition, pages
Matematiska institutionen , 2007. , 41 p.
Hawking mass, Penrose's inequality, Newman-Penrose formalism, Nester-Witten integral, Kerr space-time, Kerr-Newman space-time
IdentifiersURN: urn:nbn:se:liu:diva-9246ISRN: LiTH-MAT-EX--07/11--SEOAI: oai:DiVA.org:liu-9246DiVA: diva2:23821
2007-06-11, Kompakta rummet, B-huset, Linköping, 10:15