Analytical Expressions for the Hawking Mass in slowly rotating Kerr and Kerr-Newman Space-times

• Main Author: Bengtsson, Martin
• Format: Others
• Language: English
• Published: Linköpings universitet, Matematiska institutionen 2007
• Subjects: Hawking mass; Penrose's inequality; Newman-Penrose formalism; Nester-Witten integral; Kerr space-time; Kerr-Newman space-time; Applied mathematics; Tillämpad matematik
• Online Access: http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-9246

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.