Mass and angular momentum of black holes in 3D gravity theories with first order formalism

We apply the Wald formalism to obtain masses and angular momenta of black holes in three dimensional gravity theories using the first order formalism. Wald formalism suggests that the entropy of a black hole can be defined by an integration of a conserved charge on the bifurcation horizon, and mass and angular momentum of a black hole as an integration of some charge variation form at spatial infinity. The action of three dimensional gravity theories can be represented by a form including some auxiliary fields. As well-known examples we have calculated masses and angular momenta of some black holes in topologically massive gravity and new massive gravity theories using the first order formalism. We have also calculated mass and angular momentum of BTZ black hole and new type black hole in minimal massive gravity theory with the action represented by the first order formalism. We have also calculated the entropy and central charges of new type black hole. According to $AdS/CFT$ correspondence we suggest that the left and right moving temperatures should be equal to the Hawking temperature in the case of new type black hole in minimal massive gravity.Comment: 35 pages, title changed back to original one, some contents are added and correcte

Re-Inventing Africa's Development

This open access book analyses the development problems of sub-Sahara Africa (SSA) from the eyes of a Korean diplomat with knowledge of the economic growth Korea has experienced in recent decades. The author argues that Africa's development challenges are not due to a lack of resources but a lack of management, presenting an alternative to the traditional view that Africa's problems are caused by a lack of leadership. In exploring an approach based on mind-set and nation-building, rather than unity – which tends to promote individual or party interests rather than the broader country or national interests – the author suggests new solutions for SSA's economic growth, inspired by Korea's successful economic growth model much of which is focused on industrialisation. This book will be of interest to researchers, policymakers, NGOs and governmental bodies in economics, development and politics studying Africa's economic development, and Korea's economic growth model

Mass and Angular momentum of Black Holes in New Massive Gravity

We obtain mass and angular momentum of black holes as conserved charges in three dimensional new massive gravity, after presenting the explicit expression for the potential of the conserved charges. This confirms the expression of those charges obtained in several ways, in particular through AdS/CFT correspondence, and shows us that the first law of black hole thermodynamics is valid in these black holes. We also comment about conserved charges in new type black holes with the emphasis on the AdS/CFT correspondence as guiding principle.Comment: minor corrections, added conclusion, accepted in PR