Hu, YP , Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, POB 2735, Beijing 100190, Peoples R China

部门归属:

[Hu, YP] Chinese Acad Sci, Inst Theoret Phys, Key Lab Frontiers Theoret Phys, Beijing 100190, Peoples R China; [Hu, YP] Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China

英文摘要:

In this paper, were consider the energy and tension laws of the Ricci flat black hole by taking the contribution of the tension term into account. After this considering and inspired by the interchange symmetry between the Ricci flat black hole and the AdS soliton solution which arises from the double analytic continuation of the time and compact spatial direction, we find out the analogy of the energy and tension laws of the AdS soliton solution. Moreover, we also investigate the energy and tension laws of the boosted Ricci flat black hole, and discuss the boosted AdS soliton solution. However, although there is the same interchange symmetry between the boosted Ricci flat black hole and boosted AdS soliton, the analogy of laws of the boosted AdS soliton solution may be of no sense for the existence of the closed time like curves and conical singularity. In spite of that, the conserved charges such as the energy and momentum of the boosted AdS soliton are well-defined, and an interesting result is that its energy is lower than that of the static AdS soliton. On the other hand, note that although the laws obtained above are the same as those of the asymptotical flat case, the underlying deduced contents are different. Thus, our results could also be considered as a simple generalization to the asymptotically AdS case. Moreover, during the calculation, we find that there may be a new way to define the gravitational tension which can come from the quasi-local stress tensor of the counter-term method.

Hu, Ya-Peng. Tension term, interchange symmetry, and the analogy of energy and tension laws of the AdS soliton solution[J]. JOURNAL OF HIGH ENERGY PHYSICS,2009(5):-.